TY  - JOUR
A1  - Li, Shirley Weishi
A1  - Lowdon, Peter
A1  - Oliveira, Orlando
A1  - Silva, Paulo J.
T1  - Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
T2  - Physics letters B
N2  - 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.
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/69902
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-699028
SN  - 1873-2445
SN  - 0370-2693
VL  - 823
IS  - 136753
PB  - Elsevier
CY  - Amsterdam
ER  -