Implications of the Topological Chern-Simons mass in the Gap Equation

Caroline P. Felix; Chung Wen Kao

Implications of the Topological Chern-Simons mass in the Gap Equation

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arxiv 2105.09133 v2 pith:3GDHZ2GY submitted 2021-05-19 hep-th

Caroline P. Felix , Chung Wen Kao This is my paper · ORCID

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abstract

In this paper, we solve the gap equation of the Yang-Mills-Gribov-Zwanziger-Chern-Simon theory by considering the first order in the Chern-Simon topological mass term, $M$. As a result, we find three possible solutions to the gap equation, i.e. three different Gribov parameters. In addition, we analyze the regime of the theory for each of these Gribov parameters and we obtain a different result from the literature.

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Finiteness of the Yang-Mills-Chern-Simons action in linear covariant gauges by taking into account gauge copies
hep-th 2025-02 conditional novelty 5.0 of 10

Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.

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