Non-Abelian extension of the aether term and the Gribov problem

2018/02/28 by D. R. Granado, D.R. Granado, C. P. Felix +6 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Aether #Black Holes and Theoretical Physics #Coupling constant #Gauge (firearms) #Limit (mathematics) #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Path integral formulation #Quantization (signal processing) #Term (time) #hep-th

paper · pdf · doi:10.1016/j.aop.2020.168324

published in Annals of Physics 422, 168324 (Elsevier BV) · 19 pages, version accepted to Annals of Physics

arxiv created 2020/10/07 · openalex created_date 2020/10/15 · openalex publication_date 2020/10/19 · arxiv updated 2020/10/27 · openalex updated_date 2026/08/05

Abstract

In this paper, we treat the proper path integral quantization of the Yang-Mills-aether (YM-aether) system by dealing with the extra gauge copies in the Landau gauge. Within Gribov's prescription to get rid of such remaining gauge copies, we explicitly derive the Gribov parameter dependence of the coupling constant and of the Lorentz violation aether term. The ultraviolet limit is investigated under the light of recent bounds on the magnitude of the non-Abelian aether parameter, and we show that the Gribov parameter can be disregarded in that limit.

Citations

• Quantization of non-Abelian gauge theories
• Infrared behavior of the gluon propagator: Confining or confined?
• An all-order proof of the equivalence between Gribovʼs no-pole and Zwanzigerʼs horizon conditions
• Dynamical mass generation in continuum quantum chromodynamics
• Some remarks on the Gribov ambiguity
• Local and renormalizable action from the gribov horizon
• Induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• CPTviolation and the standard model
• Data tables for Lorentz andCPTviolation
• The Gribov problem and QCD dynamics
• Gauge bosons at zero and finite temperature
• Axioms for Euclidean Green's functions