Geometrical Approaches to the Quantization of Gauge Theories

Bucker, Beatrice

doi:10.7546/giq-5-2004-111-130

VOL. 5 | 2004 Geometrical Approaches to the Quantization of Gauge Theories

Chapter Author(s) Beatrice Bucker

Editor(s) Ivaïlo M. Mladenov, Allen C. Hirshfeld

Geom. Integrability & Quantization, 2004: 111-130 (2004) DOI: 10.7546/giq-5-2004-111-130

Abstract

In the Batalin-Vilkovisky field-antifield formalism a classical mechanical system is described by a solution of the classical master equation. The quantization of this general gauge theory in the Lagrangian approach can be accomplished in closed form [2]. The AKSZ-formalism is a geometrical construction of such a solution as a QP-manifold [1]. This can be extended and applied to topological quantum field theories.