Quantization of gauge theories with linearly dependent generators

19831,089 citationsJournal Article

Authors

I. A. Batalin · P.N. Lebedev Physical Institute of the Russian Academy of Sciences

G. A. Vilkovisky · P.N. Lebedev Physical Institute of the Russian Academy of Sciences

Abstract

The quantization rules for gauge theories with open algebras are generalized to the case of linearly dependent generators. The given zero-eigenvalue eigenvectors of the generators may also be linearly dependent and possess zero-eigenvalue eigenvectors which may also be linearly dependent and so on. We give the solution for the general case of such a hierarchy.

Topics & Keywords

Black Holes and Theoretical Physics Algebraic structures and combinatorial models Quantum Chromodynamics and Particle Interactions

Publication Details

Published in: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Volume 28, Issue 10, pp. 2567-2582

DOI: 10.1103/physrevd.28.2567

Field-Weighted Citation Impact: 1.36

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Quantization of gauge theories with linearly dependent generators

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Abstract

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Publication Details