2004/02/04 by Domenico Fiorenza · 1 voice
Mathematics · #math.QA #msc:81T70
published as Comptes Rendus des Rencontres Mathematiques de Glanon, Edition 2003. · 19 pages. Lecture given at the "Rencontres Mathematiques de Glanon", July 2003. Final version. Minor corrections
arxiv published 2004/02/04 · arxiv created 2004/06/25 · arxiv updated 2004/06/25
The aim of these notes is to introduce the quantum master equation \S,S\-2iℏΔS=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.