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Doctoral Thesis
DOI
10.11606/T.43.1998.tde-11122013-152014
Document
Author
Full name
Sérgio Vizeu Lima Pinheiro
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1998
Supervisor
Committee
Silva, Adilson Jose da (President)
Brandt, Fernando Tadeu Caldeira
Ferreira, Luiz Agostinho
Malbouisson, Adolfo Pedro Carvalho
Natale, Adriano Antonio
Title in Portuguese
Influência do Campo de Chern-Simons sobre as Propriedades de Renormalizabilidade do Modelo ('fi'* 'fi')3
Keywords in Portuguese
Física de partículas
Teoria de campos
Abstract in Portuguese
Neste trabalho analisamos a influência do campo de Chern-Simons sobre as propriedades de renormalizabilidade do modelo '('fi'* 'fi') POT. 3' e dos operadores compostos ['('fi'* 'fi') POT. n'] em 2 + 1 dimensões. Para tanto calcularemos as funções de vértice de dois e seis pontos até as ordens de perturbação dois e três, respectivamente. Foi usado o método de contratermos para renormalizar as funções de Green, e a regularização dimensional para isolar as divergências nos diagramas de Feynman. Foi deduzida a equação do grupo de renormalização e obtida a função beta e a dimensão anômala para o campo básico. Foi também obtida e analisada a dimensão anômala para o operador composto ['('fi'* 'fi') POT. n'].Todas a análises foram feitas no sentido de obter a influência do acoplamento de Chern-Simons sobre as funções do grupo de renormalização.
Title in English
Influence of the Chern-Simons field on renormalization properties of the model ('fi' * 'fi')3
Keywords in English
Field theory
Particle physics
Abstract in English
We analyse the effect of coupling of a Chern-Simons field on the renorrnalization properties of the model (* )3 and of the composite operators [(* )n] in 2 + 1 dimensions. For that, we calculate the two and six point vertex functions up to respectively second and third order in the coupling constants, using dimensional regularization and minimal subtraction. Renormalization group equations the functions and the anomalous dimensions of the basic field and composite fields [(* )n] were got. It is show that the coupling to the Chern-Simons generate a phase in which asymptotic freedom is possible.
 
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45922Pinheiro.pdf (879.39 Kbytes)
Publishing Date
2014-02-21
 
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