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Master's Dissertation
DOI
10.11606/D.43.2016.tde-09122016-111818
Document
Author
Full name
Paulo José Torres Homem Valente
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1998
Supervisor
Committee
Gomes, Marcelo Otavio Caminha (President)
Rosenfeld, Rogério
Teotonio Sobrinho, Paulo
Title in Portuguese
Equivalências entre Teorias Quânticas de Campos em Duas e Três Dimensões
Keywords in Portuguese
Física de partículas
Mecânica quântica
Abstract in Portuguese
É efetuado o estudo de alguns modelos em TQC em 2 e 3 dimensões espaço-temporais. Em 2D são analisados os modelos de Thirring, Thirring SU (2) e Schiwinger, dando enfoque especial à dedução das equações de movimento através de suas soluções bosonizadas. É mostrado que a existência de um termo de massa explícito nas equações de movimento renormalizadas, em geral depende do valor da constante de acoplamento. Em 3 D, é utilizado o procedimento de Integração Funcional para obter equivalências entre modelos da TQC. Para a Lagrangiana de dois campos vetoriais - um Auto-dual e um de Maxwell-Simons - acoplados com férmions, é mostrado que o cálculo do determinante fermiônico, em regime de acoplamento fraco, leva a uma teoria não local de campos bosônicos. Por fim, é feita uma comparação entre os resultados obtidos em 2 e 3 dimensões
Title in English
Equivalences between two-dimensional and three-dimensional quantum field models.
Keywords in English
Particle physics
Quantum mechanics
Abstract in English
The study of some TQC models in 2 and 3 space-time dimensions is done. In 2D the models of Thirring, Thirring SU (2) and Schiwinger are analyzed, giving special focus to the deduction of the equations of movement through their bosonized solutions. It is shown that the existence of an explicit mass term in the renormalized equations of motion generally depends on the value of the coupling constant. In 3 D, the Functional Integration procedure is used to obtain equivalences between TQC models. For the Lagrangian of two vector fields - an Auto-dual and one of Maxwell-Simons - coupled with fermions, it is shown that the calculation of the fermionic determinant in a weak coupling regime leads to a non-local theory of bosonic fields. Finally, a comparison between the results obtained in 2 and 3 dimensions
 
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1998valente.pdf (8.19 Mbytes)
Publishing Date
2016-12-09
 
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