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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2009.tde-03052010-110506
Document
Author
Full name
Liner de Souza Santos
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2009
Supervisor
Committee
Silva, Adilson Jose da (President)
Brandt, Fernando Tadeu Caldeira
Dias, Alex Gomes
 
Title in Portuguese
Quebra da simetria de Lorentz e o termo de Chern-Simons em (3+1) dimensões
Keywords in Portuguese
Física
Teoria de campo e ondas
Teoria quantica de campo
Abstract in Portuguese
Nesta dissertação estudamos o modelo de Chern-Simons na teoria de calibre e na gravitação. Para tanto, estudamos o problema de férmions interagindo num primeiro momento com um campo eletromagnético e num segundo momento, com um campo gravitacional. Introduzimos, em ambos os casos, um campo de fundo que quebra a simetria de Lorentz. Fizemos o cálculo da ação efetiva pelo método do tempo próprio de Schwinger, na aproximação de um laço e determinamos a ação efetiva, que contém os termos induzidos de Chern-Simons.
 
Title in English
Lorente symmetry breaking and chern-simons term in (3+1) dimensions
Keywords in English
Field and waves theory
Physics
Quantum field theory
Abstract in English
In this dissertation, we studied the Chern-Simons model in the gauge and the gravitation theories. So, we study the problem of fermions interacting, in a first moment, with a electromagnetic field and in a second moment, with a gravitational field. We introduced in the interaction lagragian, for both cases, a background field which break the Lorentz symmetry. We did the effective action calculus by the Schwinger proper time method, in the one loop approximation and we determined the effective action which the induced Chern-Simons terms.
 
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Publishing Date
2010-05-12
 
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