Quantization of gauge theories with linearly dependent generators
- 15 November 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 28 (10) , 2567-2582
- https://doi.org/10.1103/physrevd.28.2567
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.Keywords
This publication has 13 references indexed in Scilit:
- Higher rank representations of lower spinNuclear Physics B, 1981
- Gauge algebra and quantizationPhysics Letters B, 1981
- Skew-symmetric tensor gauge field theory dynamically realized in the QCD U(1) channelNuclear Physics B, 1981
- Quantum Theory of Antisymmetric Higher Rank Tensor Gauge Field in Higher Dimensional Space-TimeProgress of Theoretical Physics, 1981
- Antisymmetric tensor gauge theories and non-linear σ-modelsNuclear Physics B, 1981
- Hidden ghostsPhysics Letters B, 1980
- Gauge invariance for spin-1/2Physics Letters B, 1980
- Consistency problems of hypergravityPhysics Letters B, 1979
- On spin-52 gauge fieldsPhysics Letters B, 1979
- Quantum Theory of Gravity. II. The Manifestly Covariant TheoryPhysical Review B, 1967