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An introduction to the Batalin-Vilkovisky formalism

Domenico Fiorenza
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Abstract

The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbarΔS=0$, 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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Domenico Fiorenza. 2004-06-25. An introduction to the Batalin-Vilkovisky formalism. https://arxiv.org/abs/math/0402057

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