Proceedings of the International Conference on Geometry, Integrability and Quantization

Geometrical Approaches to the Quantization of Gauge Theories

Beatrice Bucker

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.

Article information

Source
Proceedings of the Fifth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Allen C. Hirshfeld, eds. (Sofia: Softex, 2004), 111-130

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434147920

Digital Object Identifier
doi:10.7546/giq-5-2004-111-130

Mathematical Reviews number (MathSciNet)
MR2082297

Zentralblatt MATH identifier
1072.81053

Citation

Bucker, Beatrice. Geometrical Approaches to the Quantization of Gauge Theories. Proceedings of the Fifth International Conference on Geometry, Integrability and Quantization, 111--130, Softex, Sofia, Bulgaria, 2004. doi:10.7546/giq-5-2004-111-130. https://projecteuclid.org/euclid.pgiq/1434147920


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