Semiclassical approximation in Batalin-Vilkovisky formalism

Abstract

The geometry of supermanifolds provided with $Q$-structure (i.e. with odd vector field $Q$ satisfying $\{Q,Q\}=0$), $P$-structure (odd symplectic structure ) and $S$-structure (volume element) or with various combinations of these structures is studied. The results are applied to the analysis of Batalin-Vilkovisky approach to the quantization of gauge theories. In particular the semiclassical approximation in this approach is expressed in terms of Reidemeister torsion.

27 pages

References in corpus (1)

• Geometry of Batalin-Vilkovisky quantization

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