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 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.

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Author:Shirley Weishi LiORCiD, Peter LowdonORCiDGND, Orlando OliveiraORCiD, Paulo J. SilvaORCiD
Parent Title (English):Physics letters B
Place of publication:Amsterdam
Document Type:Article
Date of Publication (online):2021/10/28
Date of first Publication:2021/10/28
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2022/09/25
Page Number:6
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0