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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-12-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269321006936 |
| _version_ | 1819037280491274240 |
|---|---|
| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-21T08:18:54Z |
| format | Article |
| id | doaj.art-64466ae496db435ba7492aa1660c045e |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T08:18:54Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-64466ae496db435ba7492aa1660c045e2022-12-21T19:10:29ZengElsevierPhysics Letters B0370-26932021-12-01823136753Non-perturbative BRST symmetry and the spectral structure of the ghost propagatorShirley Weishi Li0Peter Lowdon1Orlando Oliveira2Paulo J. Silva3Theoretical Physics Department, Fermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USAInstitut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Str. 1, 60438 Frankfurt am Main, Germany; Corresponding author.Centro de Física da Universidade de Coimbra, Departamento de Física, Universidade de Coimbra, 3004-516 Coimbra, PortugalCentro de Física da Universidade de Coimbra, Departamento de Física, Universidade de Coimbra, 3004-516 Coimbra, PortugalIn 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.http://www.sciencedirect.com/science/article/pii/S0370269321006936 |
| spellingShingle | Shirley Weishi Li Peter Lowdon Orlando Oliveira Paulo J. Silva Non-perturbative BRST symmetry and the spectral structure of the ghost propagator Physics Letters B |
| title | 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_short | 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 |
| url | http://www.sciencedirect.com/science/article/pii/S0370269321006936 |
| work_keys_str_mv | AT shirleyweishili nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator AT peterlowdon nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator AT orlandooliveira nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator AT paulojsilva nonperturbativebrstsymmetryandthespectralstructureoftheghostpropagator |