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Title: Gribov ambiguities in Yang-Mills-Chern-Simons theories in the Maximal Abelian gauge
Authors: Ferreira, Luigi Carvalho
metadata.dc.contributor.advisor: Sobreiro, Rodrigo Ferreira
metadata.dc.contributor.advisorco: Pereira Junior, Antônio Duarte
Issue Date: 2019
Citation: FERREIRA, Luigi Carvalho. Gribov ambiguities in Yang-Mills-Chern-Simons theories in the Maximal Abelian gauge. 2019. 111 f. Dissertação (Mestrado) - Universidade Federal Fluminense, Instituto de Física, Niterói, 2019.
Abstract: The main goal of this thesis is to obtain information about the transition between the perturbative and non-perturbative regimes of the Yang-Mills theories, whose complete understanding is still an open problem. Having this in mind, we studied in this thesis the 3-dimensional Euclidean Yang-Mills-Chern-Simons theory. This model is usually used for studying the high temperature (perturbative) regime of the 4-dimensional Minkowskian Yang-Mills theory. However, we also explored the low-temperature (non-perturbative) regime of these theories. Basically, we explored the problem of how to quantize the 3-dimensional Euclidean Yang-Mills-Chern-Simons theory within the non-perturbative regime. Here, by means of the Gribov-Zwanziger approach we circumvent this problem and analyze the propagators of the theory and their physical spectrum. We also analyze the propagators of the theory within the Re ned Gribov-Zwanziger panorama, in which the in uence of the condensation of some local operators into the non-perturbative regime is taken into account. This operators are important since they give rise to a dynamical mass generation into the gauge eld propagators, what can lead to the Abelian dominance of the theory. We do all the calculations in the Maximal Abelian gauge because it is the proper gauge to analyse if the theory manifest an Abelian dominance in the non-perturbative regime.
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