Local BRST cohomology in gauge theories
Abstract
The general solution of the anomaly consistency condition (WessZumino equation) has been found recently for YangMills gauge theory. The general form of the counterterms arising in the renormalization of gaugeinvariant operators (KlubergStern and Zuber conjecture) and in gauge theories of the YangMills type with nonpower counting renormalizable couplings has also been worked out in any number of spacetime dimensions. This Physics Report is devoted to reviewing in a selfcontained manner these results and their proofs. This involves computing cohomology groups of the differential introduced by Becchi, Rouet, Stora and Tyutin, with the sources of the BRST variations of the fields (“antifields”) included in the problem. Applications of this computation to other physical questions (classical deformations of the action, conservation laws) are also considered. The general algebraic techniques developed in the Report can be applied to other gauge theories, for which relevant references are given.
 Publication:

Physics Reports
 Pub Date:
 November 2000
 DOI:
 10.1016/S03701573(00)000491
 arXiv:
 arXiv:hepth/0002245
 Bibcode:
 2000PhR...338..439B
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 150 pages Latex file, minimal corrections, final version