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Doctoral Thesis
DOI
10.11606/T.43.1994.tde-05122013-181718
Document
Author
Full name
Renio dos Santos Mendes
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1994
Supervisor
Committee
Gomes, Marcelo Otavio Caminha (President)
Barcelos Neto, João
Frenkel, Josif
Koberle, Roland
Zimerman, Abraham Hirsz
Title in Portuguese
Estudos na eletrodinâmica quântica em 2+1 dimensões
Keywords in Portuguese
Eletrodinâmica quântica
Física nuclear
Partículas
Abstract in Portuguese
Nesta tese estudamos algumas propriedades da eletrodinamica em 2+1 dimensoes. Perturbativamente, esta teoria e inconsistente, devido a ocorrencia de fortes divergencias infravermelhas. E mostrado que tal problemas pode ser sanado quando efeitos nao perturbativos de polarizacao do vacuo sao incorporados, promovendo a melhoria do comportamento infravermelho da teoria. Isto e decorrente da geracao de um termo de chern-simons. Analisamos, tambem, a existencia de estados ligados fermion-fermion, a qual pode ser relevante no contexto da supercondutividade a altas temperaturas. Alem disso, obtemos a contribuicao para o momento magnetico anomalo do fermio vinda da correcao de vertice. Uma motivacao para este trabalho advem de estudos feitos originalmente para o modelo de thirring em 2+1 dimensoes, os quais sao apresentados na parte inicial desta tese.
Title in English
Studies in quantum electrodynamics in 2 +1 dimensions
Keywords in English
Nuclear physics
Particles
Quantum electrodynamics
Abstract in English
In this thesis we study some properties of electrodynamics in 2+ 1 dimensions. Perturbatively, inconsistencies appear, due to strong infrared divergencies. It is shown that this problem can be overcome when vacuum polarization effects are nonperturbatively incorporated, leading to a better infrared behavior of the theory. This is a consequence of the generation of a Chern-Simons term. Also, we analyse the existence of fermion-fermion bound states, which may be relevant for high-Tc superconductivity. Furthermore, from the vertex corrections we determine the contribution for the fermion anomalous magnetic moment. A motivation for this work comes from earlier studies in the context of the 2+ 1 dimentional Thirring model. Those studies are presented in the initial part of this thesis.
 
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45861Mendes.pdf (36.04 Mbytes)
Publishing Date
2014-02-20
 
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