Semiclassical approximation in Batalin-Vilkovisky formalism

Details Semiclassical approximation in Batalin-Vilkovisky formalism Semiclassical approximation in Batalin-Vilkovisky formalism

1992-10-21

arxiv.org/abs/hep-th/9210115v2

Commun.Math.Phys.158:373-396,1993

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1007/BF02108080

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.

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