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.
Highlights
Given the importance of the Higgs mechanism in the Standard Model, Lorentz breaking in the U (1) gauge-Higgs system has enjoyed considerable interest in the last twenty years, with many different scenarios and aspects having come under scrutiny [11,12,13,14,15,16]
In this work we presented a first study of non-Abelian Yang– Mills–Higgs with an additive Lorentz breaking aether term in 3 spacetime dimensions
To justify the presence of the non-Abelian aether term, we performed its perturbative generation, demonstrating that it arises as a one-loop correction
Summary
Given the importance of the Higgs mechanism in the Standard Model, Lorentz breaking in the U (1) gauge-Higgs system has enjoyed considerable interest in the last twenty years, with many different scenarios and aspects having come under scrutiny [11,12,13,14,15,16]. The new gauge fixing procedure proposed by Gribov imposes a restriction in the functional integral and leads to a direct modification of the gluon propagator: the gluon propagator exhibits complex poles instead of real ones The presence of these complex poles suggests that the degrees of freedom have become unphysical or are confined [34,35]. As the non-Abelian aether term in 3d was not generated before, in this paper we devote one section for its generation Another motivation for our study is the following one: in [2,3], it was claimed that the SME can be treated as a low-energy effective limit of some fundamental theory where spontaneous LV occurs.
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