English

Semiclassical approximation in Batalin-Vilkovisky formalism

High Energy Physics - Theory 2010-11-01 v2 Differential Geometry

Abstract

The geometry of supermanifolds provided with QQ-structure (i.e. with odd vector field QQ satisfying {Q,Q}=0\{ Q,Q\} =0), PP-structure (odd symplectic structure ) and SS-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.

Keywords

Cite

@article{arxiv.hep-th/9210115,
  title  = {Semiclassical approximation in Batalin-Vilkovisky formalism},
  author = {Albert Schwarz},
  journal= {arXiv preprint arXiv:hep-th/9210115},
  year   = {2010}
}

Comments

27 pages

R2 v1 2026-07-22T15:44:06.112Z