Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-05-31
Commun.Math.Phys.174:93-116,1995
Physics
High Energy Physics
High Energy Physics - Theory
30 pages Latex file, ULB-TH-94/07, NIKHEF-H 94-15
Scientific paper
10.1007/BF02099465
Yang-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.
Barnich Glenn
Brandt Friedemann
Henneaux Marc
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