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.

An introduction to the Batalin-Vilkovisky formalism / Fiorenza, Domenico. - (2003). ((Intervento presentato al convegno Rencontres mathématiques de Glanon tenutosi a Glanon (France) nel 30/06/2003-04/07/2003.

An introduction to the Batalin-Vilkovisky formalism

FIORENZA, DOMENICO
2003

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11573/481468
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