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arXiv · 2102.04149

Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background

D. R. Granado·A. J. G. Carvalho·A. Yu. Petrov·D. Vercauteren
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Abstract

In this paper, we take into account the Gribov copies present in 3D Yang-MIlls-Higgs theory with a constant vector background whose presence breaks the Lorentz symmetry. The constant vector background is introduced within the non-Abelian aether term. Here, we show that this term arises as a one-loop correction. The influence of the aether coupling constant on the system is treated afterwards. As a result, we find that for some values of it the theory can be driven from a nonperturbative regime to a perturbative one. In this paper, we work with the Higgs field in the fundamental representation and in the Landau gauge.

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D. R. Granado, A. J. G. Carvalho, A. Yu. Petrov, D. Vercauteren. 2021-05-03. Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background. https://doi.org/10.1140/epjc%2Fs10052-021-09186-6

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