https://doi.org/10.1140/epjc/s10052-021-09186-6
Regular Article - Theoretical Physics
Regimes of 3D Yang–Mills theory in the presence of a constant vector background
1
Institute of Research and Development, Duy Tan University, 550000, Da Nang, Vietnam
2
Faculty of Natural Sciences, Duy Tan University, 550000, Da Nang, Vietnam
3
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
Received:
11
February
2021
Accepted:
23
April
2021
Published online:
5
May
2021
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.
© The Author(s) 2021
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