Regularisation, the BV method, and the antibracket cohomology

Abstract

We review the Lagrangian Batalin--Vilkovisky method for gauge theories. This includes gauge fixing, quantisation and regularisation. We emphasize the role of cohomology of the antibracket operation. Our main example is $d=2$ gravity, for which we also discuss the solutions for the cohomology in the space of local integrals. This leads to the most general form for the action, for anomalies and for background charges.

12 pages, LaTeX, Preprint-KUL-TF-94/27

References in corpus (2)

• Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity
• Hiding Anomalies

Cited by in corpus (5)

• Local BRST cohomology in gauge theories
• BRST in the Exact RG
• Quantum gravity, renormalizability and diffeomorphism invariance
• The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter
• Classical and quantum aspects of the extended antifield formalism