LOCAL BRST COHOMOLOGY IN THE ANTIFIELD FORMALISM .2. APPLICATION TO YANG-MILLS THEORY

被引:145
作者
BARNICH, G
BRANDT, F
HENNEAUX, M
机构
[1] NIKHEF H,1009 DB AMSTERDAM,NETHERLANDS
[2] CTR ESTUDIOS CIENT SANTIAGO,SANTIAGO 9,CHILE
关键词
D O I
10.1007/BF02099465
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 call be easily extended to more general actions containing higher derivatives of the curvature or Chern-Simons terms.
引用
收藏
页码:93 / 116
页数:24
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