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

2021/02/28 by D. R. Granado, Diego R. Granado, A. J. G. Carvalho +3
Mathematics · Physics and Astronomy · #Abelian group #Aether #Black Holes and Theoretical Physics #Computer science #Constant (computer programming) #Cosmology and Gravitation Theories #Coupling constant #Gauge theory #Higgs boson #Higgs field #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Pure mathematics #Quantum electrodynamics #Representation (politics) #Theoretical physics #Vector field #Yang–Mills theory #hep-th

paper · pdf · doi:10.1140/epjc/s10052-021-09186-6

published as European Physical Journal C81, 391 (2021) · 13 pages, typos corrected, matches final version

openalex created_date 2021/02/15 · openalex publication_date 2021/05/01 · arxiv created 2021/05/03 · arxiv updated 2021/05/07 · openalex updated_date 2026/08/05

Abstract

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.

Citations