Non-perturbative BRST symmetry and the spectral structure of the ghost propagator

In BRST-quantised Yang-Mills theory the existence of BRST symmetry imposes significant constraints on the analytic structure of the continuum theory. In particular, the presence of this symmetry in the non-perturbative regime implies that any on-shell state with vanishing norm must have an associate...

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Autores principales:	Shirley Weishi Li, Peter Lowdon, Orlando Oliveira, Paulo J. Silva
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/64466ae496db435ba7492aa1660c045e
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spelling	oai:doaj.org-article:64466ae496db435ba7492aa1660c045e2021-12-04T04:32:35ZNon-perturbative BRST symmetry and the spectral structure of the ghost propagator0370-269310.1016/j.physletb.2021.136753https://doaj.org/article/64466ae496db435ba7492aa1660c045e2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321006936https://doaj.org/toc/0370-2693In BRST-quantised Yang-Mills theory the existence of BRST symmetry imposes significant constraints on the analytic structure of the continuum theory. In particular, the presence of this symmetry in the non-perturbative regime implies that any on-shell state with vanishing norm must have an associated partner state with identical mass, but negative inner product. In this work we demonstrate that for quantum chromodynamics (QCD) this constraint gives rise to an interconnection between the ghost and gluon spectra, and in doing so provides a non-trivial test of whether BRST symmetry is realised non-perturbatively. By analysing infrared lattice data for the minimal Landau gauge ghost propagator in pure SU(3) Yang-Mills theory, and comparing this with previous results for the gluon propagator, we show that this interconnection is violated, and hence conclude that continuum and current lattice formulations of Yang-Mills theory in Landau gauge represent two distinct realisations of the theory.Shirley Weishi LiPeter LowdonOrlando OliveiraPaulo J. SilvaElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136753- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Shirley Weishi Li Peter Lowdon Orlando Oliveira Paulo J. Silva Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
description	In BRST-quantised Yang-Mills theory the existence of BRST symmetry imposes significant constraints on the analytic structure of the continuum theory. In particular, the presence of this symmetry in the non-perturbative regime implies that any on-shell state with vanishing norm must have an associated partner state with identical mass, but negative inner product. In this work we demonstrate that for quantum chromodynamics (QCD) this constraint gives rise to an interconnection between the ghost and gluon spectra, and in doing so provides a non-trivial test of whether BRST symmetry is realised non-perturbatively. By analysing infrared lattice data for the minimal Landau gauge ghost propagator in pure SU(3) Yang-Mills theory, and comparing this with previous results for the gluon propagator, we show that this interconnection is violated, and hence conclude that continuum and current lattice formulations of Yang-Mills theory in Landau gauge represent two distinct realisations of the theory.
format	article
author	Shirley Weishi Li Peter Lowdon Orlando Oliveira Paulo J. Silva
author_facet	Shirley Weishi Li Peter Lowdon Orlando Oliveira Paulo J. Silva
author_sort	Shirley Weishi Li
title	Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
title_short	Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
title_full	Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
title_fullStr	Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
title_full_unstemmed	Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
title_sort	non-perturbative brst symmetry and the spectral structure of the ghost propagator
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/64466ae496db435ba7492aa1660c045e
work_keys_str_mv	AT shirleyweishili nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator AT peterlowdon nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator AT orlandooliveira nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator AT paulojsilva nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator
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Non-perturbative BRST symmetry and the spectral structure of the ghost propagator

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