Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory

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dc.creatorBarnich, G.
dc.creatorBrandt, F.
dc.creatorHenneaux, M.
dc.date1994-05-31
dc.date.accessioned2026-07-07T11:48:09Z
dc.date.available2026-07-07T11:48:09Z
dc.descriptionYang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRST differential $s$ modulo the exterior spacetime derivative $d$ for all values of the ghost number, in the space of polynomials in the fields, the ghosts, the antifields (=sources for the BRST variations) and their derivatives. New solutions to the consistency conditions $sa+db=0$ depending non trivially on the antifields are exhibited. For a semi-simple gauge group, however, these new solutions arise only at ghost number two or higher. Thus at ghost number zero or one, the inclusion of the antifields does not bring in new solutions to the consistency condition $sa+db=0$ besides the already known ones. The analysis does not use power counting and is purely cohomological. It can be easily extended to more general actions containing higher derivatives of the curvature, or Chern-Simons terms.
dc.description30 pages Latex file, ULB-TH-94/07, NIKHEF-H 94-15
dc.identifierhttps://arxiv.org/abs/hep-th/9405194
dc.identifierhttp://arxiv.org/abs/hep-th/9405194
dc.identifierCommun.Math.Phys.174:93-116,1995
dc.identifierdoi:10.1007/BF02099465
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202819
dc.subjectHigh Energy Physics - Theory
dc.titleLocal BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory
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