English

An introduction to the Batalin-Vilkovisky formalism

Quantum Algebra 2007-05-23 v2

Abstract

The aim of these notes is to introduce the quantum master equation {S,S}2iΔS=0\{S,S\}-2i\hbar\Delta S=0, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals. The relations of the classical master equation {S,S}=0\{S,S\}=0 with the BRST formalisms are also described. Being an introduction, only finite-dimensional examples will be considered.

Cite

@article{arxiv.math/0402057,
  title  = {An introduction to the Batalin-Vilkovisky formalism},
  author = {Domenico Fiorenza},
  journal= {arXiv preprint arXiv:math/0402057},
  year   = {2007}
}

Comments

19 pages. Lecture given at the "Rencontres Mathematiques de Glanon", July 2003. Final version. Minor corrections

R2 v1 2026-07-22T17:02:10.362Z