scholarly journals Evidence of BRST-Symmetry Breaking in Lattice Minimal Landau Gauge

2015 ◽  
Author(s):  
Attilio Cucchieri ◽  
David Dudal ◽  
Tereza Mendes ◽  
Nele Vandersickel
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry ◽  
Landau Gauge

scholarly journals BRST-symmetry breaking and Bose-ghost propagator in lattice minimal Landau gauge

2014 ◽  
Vol 90 (5) ◽  
Author(s):  
Attilio Cucchieri ◽  
David Dudal ◽  
Tereza Mendes ◽  
Nele Vandersickel
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry ◽  
Landau Gauge ◽  
Ghost Propagator

scholarly journals Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Running Coupling

scholarly journals On gauge independence for gauge models with soft breaking of BRST symmetry

2014 ◽  
Vol 29 (30) ◽  
pp. 1450184 ◽  
Author(s):  
Alexander Reshetnyak
Keyword(s):  
Gauge Theories ◽  
Brst Symmetry ◽  
Landau Gauge ◽  
Functional Integral ◽  
Yang Mills ◽  
Gauge Models ◽  
S Matrix ◽  
Gauge Fixing ◽  
Dependent Parameter ◽  
Quantum Treatment

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field–antifield formalism is developed. It is based on a gauged (involving a field-dependent parameter) version of finite BRST transformations. The prescription allows one to restore the gauge-independence of the effective action at its extremals and therefore also that of the conventional S-matrix for a theory with BRST-breaking terms being additively introduced into a BRST-invariant action in order to achieve a consistency of the functional integral. We demonstrate the applicability of this prescription within the approach of functional renormalization group to the Yang–Mills and gravity theories. The Gribov–Zwanziger action and the refined Gribov–Zwanziger action for a many-parameter family of gauges, including the Coulomb, axial and covariant gauges, are derived perturbatively on the basis of finite gauged BRST transformations starting from Landau gauge. It is proved that gauge theories with soft breaking of BRST symmetry can be made consistent if the transformed BRST-breaking terms satisfy the same soft BRST symmetry breaking condition in the resulting gauge as the untransformed ones in the initial gauge, and also without this requirement.

scholarly journals Renormalizability of the linearly broken formulation of the BRST symmetry in the presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories

2011 ◽  
Vol 83 (10) ◽  
Author(s):  
M. A. L. Capri ◽  
A. J. Gómez ◽  
M. S. Guimaraes ◽  
V. E. R. Lemes ◽  
S. P. Sorella ◽  
...  
Keyword(s):  
Brst Symmetry ◽  
Landau Gauge ◽  
Yang Mills

scholarly journals The Quantum Description of BF Model in Superspace

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Manoj Kumar Dwivedi
Keyword(s):  
Brst Symmetry ◽  
Landau Gauge ◽  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Topological Theory ◽  
Quantum Description ◽  
Bf Theory ◽  
Standard Field ◽  
Shift Symmetry ◽  
Superspace Description

We consider the BRST symmetric four-dimensional BF theory, a topological theory, containing antisymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. Within this formulation, the antighost fields corresponding to shift symmetry coincide with antifields of standard field/antifield formulation. Furthermore, we provide a superspace description for the BF model possessing extended BRST and extended anti-BRST transformations.

scholarly journals Finite temperature Landau gauge lattice quark propagator

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Orlando Oliveira ◽  
Paulo J. Silva
Keyword(s):  
Wave Function ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Form Factors ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Quark Wave Function

Abstract The quark propagator at finite temperature is investigated using quenched gauge configurations. The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $$T_c$$Tc and for the various Matsubara frequencies. Significant differences between the functional behaviour below and above $$T_c$$Tc are observed both for the quark wave function and the running quark mass. The results for the running quark mass indicate a link between gluon dynamics, the mechanism for chiral symmetry breaking and the deconfinement mechanism. For temperatures above $$T_c$$Tc and for low momenta, our results support also a description of quarks as free quasiparticles.

Notes on Soft BRST Symmetry Breaking within the Batalin–Vilkovisky Formalism

2013 ◽  
Vol 55 (9) ◽  
pp. 1005-1010 ◽  
Author(s):  
O. V. Radchenko ◽  
A. A. Reshetnyak
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry

scholarly journals Field-dependent BRST–anti-BRST Lagrangian transformations

2015 ◽  
Vol 30 (04n05) ◽  
pp. 1550021 ◽  
Author(s):  
Pavel Yu. Moshin ◽  
Alexander A. Reshetnyak
Keyword(s):  
Symmetry Breaking ◽  
Ward Identity ◽  
Brst Symmetry ◽  
Lagrangian Formalism ◽  
Yang Mills ◽  
Gauge Dependence ◽  
Change Of Variables ◽  
Field Dependent ◽  
Renormalization Group Approach ◽  
Quantum Action

We continue our study of finite BRST–anti-BRST transformations for general gauge theories in Lagrangian formalism, initiated in [arXiv:1405.0790 [hep-th] and arXiv:1406.0179 [hep-th]], with a doublet λa, a = 1, 2, of anticommuting Grassmann parameters, and prove the correctness of the explicit Jacobian in the partition function announced in [arXiv:1406.0179 [hep-th]], which corresponds to a change of variables with functionally dependent parameters λa = UaΛ induced by a finite Bosonic functional Λ(ϕ, π, λ) and by the anticommuting generators Ua of BRST–anti-BRST transformations in the space of fields ϕ and auxiliary variables πa, λ. We obtain a Ward identity depending on the field-dependent parameters λa and study the problem of gauge dependence, including the case of Yang–Mills theories. We examine a formulation with BRST–anti-BRST symmetry breaking terms, additively introduced into the quantum action constructed by the Sp(2)-covariant Lagrangian rules, obtain the Ward identity and investigate the gauge independence of the corresponding generating functional of Green's functions. A formulation with BRST symmetry breaking terms is developed. It is argued that the gauge independence of the above generating functionals is fulfilled in the BRST and BRST–anti-BRST settings. These concepts are applied to the average effective action in Yang–Mills theories within the functional renormalization group approach.

scholarly journals Gribov horizon and spontaneous BRST symmetry breaking

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
David Dudal ◽  
Silvio Paolo Sorella
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry

scholarly journals (NON-)ALIGNED GAUGES AND GLOBAL GAUGE SYMMETRY BREAKING

2012 ◽  
Vol 27 (38) ◽  
pp. 1250222 ◽  
Author(s):  
AXEL MAAS
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Lattice Gauge Theory ◽  
Brst Symmetry ◽  
Baryon Density ◽  
Lattice Gauge ◽  
Global Gauge ◽  
Higgs Effect

The concept of (global) gauge symmetry breaking plays an important role in many areas of physics. Since the corresponding symmetry is a gauge symmetry, its breaking is actually gauge-dependent. Thus, it is possible to design gauges which restore the symmetry as good as possible. Such gauge constructions will be detailed here, illustrated with the use of lattice gauge theory. Their use will be discussed for the cases of the Higgs effect, high-baryon density color superconductors, and BRST symmetry.

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