Dualidade cor-cinemática na teoria de Yang-Mills e as relações BCJ.

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UNIVERSIDADE FEDERAL DE ITAJUBÁ PROGRAMA DE PÓS-GRADUAÇÃO EM

FÍSICA E MATEMÁTICA APLICADA

Dualidade cor-cinemática na teoria de Yang-Mills e as relações BCJ

Hemily Gomes Marciano

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UNIVERSIDADE FEDERAL DE ITAJUBÁ

PROGRAMA DE PÓS-GRADUAÇÃO EM

FÍSICA E MATEMÁTICA APLICADA

Dissertação submetida ao Programa de Pós-Graduação em Física como parte dos requisitos para obtenção do Título de Mestre em Ciências em Física e Matemática Aplicada.

Área de concentração: Teoria de Campos, Gravitação

e Cosmologia

Orientador: Ricardo Iván Medina Bascur

Outubro de 2013 Itajubá

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Ficha catalográfica elaborada pela Biblioteca Mauá – Bibliotecária Margareth Ribeiro- CRB_6/1700

M319d

Marciano, Hemily Gomes

Dualidade cor-cinemática na Teoria de Yang-Mills e as rela_ ções BCJ / Hemily Gomes Marciano. -- Itajubá, (MG) : [s.n.], 2013.

135 p. : il.

Orientador: Prof. Dr. Ricardo Iván Medina Bascur.

Dissertação (Mestrado) – Universidade Federal de Itajubá.

1. Teoria de cordas. 2. Amplitudes de espalhamento. 3. Teoria de Yang-Mills. 4. Relações BCJ. I. Bascur, Ricardo Iván Medina, orient. II. Universidade Federal de Itajubá. III. Título.

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UNIVERSIDADE FEDERAL DE ITAJUBÁ

PROGRAMA DE PÓS-GRADUAÇÃO EM

FÍSICA E MATEMÁTICA APLICADA

Dissertação aprovada por banca examinadora em 10 de outubro de 2013, conferindo à autora o título de Mestre

em Ciências em Física e Matemática Aplicada.

Banca Examinadora:

Prof. Ricardo Iván Medina Bascur (Orientador) Dr. Horatiu Stefan Nastase

Prof. Dr. Edisom de Souza Moreira Junior

Itajubá 2013

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 

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



                                                       

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



                

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



                                                                                                           

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                                                                                                                                                                                                                                                                                                                                    

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                                                                                                                                                                                                                                                                                                                                            

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

    

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                    _                             _ _{  }                  

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                                                    

(14)



(15)

 

    





                                                             _{ }_{         }_{     }                _           

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                                       _                                                       _                                                     _             _{          }      

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                                                           

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                                                  _        _{      }                                                    

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                                                                                                                                                                                                                                                                            

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          

   

    

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                                                                  





    

                                                   _ _{  }  _ _{  }  _ _{  } _{} 

(22)

                   _{ }   _{ }    _{ } _{}           

  

                                                                                               

(23)

                                                                                                                                                                                                  _  _  _  _                                                                   _{ }_{  } 

(24)

                                                      



      

   



     

                              _{     }    _{    }      _{     }    _{   } _{}                      _{ }_{         } 

(25)

                                                                                                                                                                                             

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  _           _     _  _{ }        _{ }                  _{ }                     _        _{  }    _{  }    _ _    _                                      _                                                                                                    

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                                                                 _  _   _                                                                                            

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                            _{ }   _{ }    _{ } _{}                         _{ }   _{ }    _{ } _{}                                                                   

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                                                              _{ }        _ _                                               _{  }       

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

     

                                     _{     }    _{    }      _{     }    _{   } _{}                                      _{      }    _{  }    _{    }                                     _{  }    _           _{  }    _                                      _{  }    _ _    _ _    _         _ _    _{  }    _{  }    _                           

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                       _{  }    _{  }    _{ }     _ _{}     _ _    _{  }    _{  }    _{ }     _ _{}                                                     



    

                                                                             _    

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                     _      _                                                                                  



   

                    

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



     

                                                                                                                              _                               _ _     _ _     _{ }      _ _     _ _{}

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                                                                                                                         _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     }       _{      }     _{     } 

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                                                                                                                                                                                          _             _  _  _  _  _                                   

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                                                                                                                                                                                                                                                 

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                                                                                                                                                                                                                                                              

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       _                  _          _           _       _                 _          _           _       _                 _          _       _                                                  _{ }   _{ }    _{ } _{}

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              _         _         _                                      _         _         _                                _        _       _                                                                       

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                                                                                                        

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                                                            

     

             

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

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                           _{  }     _{  }     _{ }       _ _     _{       }     _{ }      _ _     _ _     _{ }       _{  }     _{  }     _{ }      _{       }     _ _     _{ }      _ _     _{  }     _{ }       _{  }     _ _     _{      }       _ _     _ _     _{ }      _{  }     _{  }     _{ }       _ _     _{       }     _{ }      _ _     _ _     _{ }       _{  }     _{  }     _{ }      _{       }     _ _     _{ }      _ _     _{  }     _{ }       _{  }     _ _     _{     }                 _                               _ _     _ _     _{ }      _ _     _ _{}                       