An introduction to the Batalin-Vilkovisky formalism

Details An introduction to the Batalin-Vilkovisky formalism An introduction to the Batalin-Vilkovisky formalism

2004-02-04

arxiv.org/abs/math/0402057v2

Comptes Rendus des Rencontres Mathematiques de Glanon, Edition 2003.

Mathematics

Quantum Algebra

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

Scientific paper

The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbar\Delta S=0$, 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 $\{S,S\}=0$ with the BRST formalisms are also described. Being an introduction, only finite-dimensional examples will be considered.

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