Cohomological analysis of gauged-fixed gauge theories

The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformati...

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Autores principales: Barnich, Glenn, Henneaux, Marc, Hurth, Tobias, Skenderis, Kostas
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(00)01087-X
http://cds.cern.ch/record/405241
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author Barnich, Glenn
Henneaux, Marc
Hurth, Tobias
Skenderis, Kostas
author_facet Barnich, Glenn
Henneaux, Marc
Hurth, Tobias
Skenderis, Kostas
author_sort Barnich, Glenn
collection CERN
description The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential. This shows that the restrictions imposed on local counterterms by the Quantum Noether condition in the Epstein--Glaser construction of gauge theories are equivalent to the restrictions imposed by BRST invariance on local counterterms in the standard Lagrangian approach.
id cern-405241
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
record_format invenio
spelling cern-4052412023-03-14T20:17:28Zdoi:10.1016/S0370-2693(00)01087-Xhttp://cds.cern.ch/record/405241engBarnich, GlennHenneaux, MarcHurth, TobiasSkenderis, KostasCohomological analysis of gauged-fixed gauge theoriesParticle Physics - TheoryThe relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential. This shows that the restrictions imposed on local counterterms by the Quantum Noether condition in the Epstein--Glaser construction of gauge theories are equivalent to the restrictions imposed by BRST invariance on local counterterms in the standard Lagrangian approach.The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential. This shows that the restrictions imposed on local counterterms by the Quantum Noether condition in the Epstein--Glaser construction of gauge theories are equivalent to the restrictions imposed by BRST invariance on local counterterms in the standard Lagrangian approach.The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential. This shows that the restrictions imposed on local counterterms by the Quantum Noether condition in the Epstein--Glaser construction of gauge theories are equivalent to the restrictions imposed by BRST invariance on local counterterms in the standard Lagrangian approach.The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential. This shows that the restrictions imposed on local counterterms by the Quantum Noether condition in the Epstein--Glaser construction of gauge theories are equivalent to the restrictions imposed by BRST invariance on local counterterms in the standard Lagrangian approach.The relation between the gauge-invariant local BRST cohomology involving the antifields and the gauge-fixed BRST cohomology is clarified. It is shown in particular that the cocycle conditions become equivalent once it is imposed, on the gauge-fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential. This shows that the restrictions imposed on local counterterms by the quantum Noether condition in the Epstein–Glaser construction of gauge theories are equivalent to the restrictions imposed by BRST invariance on local counterterms in the standard Lagrangian approach.hep-th/9910201ESI-780-1999ULB-TH-99-24FTUV-99-66CERN-TH-99-320MPI-PHT-97-48SPIN-1999-24CERN-TH-99-320ESI-780FTUV-99-66MPI-PHT-97-48SPIN-1999-24ULB-TH-99-24oai:cds.cern.ch:4052411999-10-27
spellingShingle Particle Physics - Theory
Barnich, Glenn
Henneaux, Marc
Hurth, Tobias
Skenderis, Kostas
Cohomological analysis of gauged-fixed gauge theories
title Cohomological analysis of gauged-fixed gauge theories
title_full Cohomological analysis of gauged-fixed gauge theories
title_fullStr Cohomological analysis of gauged-fixed gauge theories
title_full_unstemmed Cohomological analysis of gauged-fixed gauge theories
title_short Cohomological analysis of gauged-fixed gauge theories
title_sort cohomological analysis of gauged-fixed gauge theories
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0370-2693(00)01087-X
http://cds.cern.ch/record/405241
work_keys_str_mv AT barnichglenn cohomologicalanalysisofgaugedfixedgaugetheories
AT henneauxmarc cohomologicalanalysisofgaugedfixedgaugetheories
AT hurthtobias cohomologicalanalysisofgaugedfixedgaugetheories
AT skenderiskostas cohomologicalanalysisofgaugedfixedgaugetheories

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