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VOL. 4 | 2003 Modern Approaches to the Quantization of Gauge Theories

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. The AKSZ-formalism is a geometrical construction of such a solution as a $QP$-manifold. This can be extended and applied to topological quantum field theories.

Information

Published: 1 January 2003
First available in Project Euclid: 12 June 2015

zbMATH: 1040.81089
MathSciNet: MR1977563

Digital Object Identifier: 10.7546/giq-4-2003-135-152

Rights: Copyright © 2003 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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