Existence theorem for gauge algebra
- 1 January 1985
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (1) , 172-184
- https://doi.org/10.1063/1.526780
Abstract
A general gauge action is defined by postulating a minimum of its properties necessary for the existence of loop expansion in the quantum theory. The structure of the general gauge algebra is derived from these postulates. The proof of existence of the structure functions, lacking in previous works, is given. The question of uniqueness is also completely cleared up. Some unsolved problems are discussed in connection with the covariant-quantization conjecture.Keywords
This publication has 22 references indexed in Scilit:
- Erratum: Quantization of gauge theories with linearly dependent generatorsPhysical Review D, 1984
- Quantization of gauge theories with linearly dependent generatorsPhysical Review D, 1983
- Feynman rules for reducible gauge theoriesPhysics Letters B, 1983
- Gauge algebra and quantizationPhysics Letters B, 1981
- SupergravityPhysics Reports, 1981
- Unitarity, Ward identities, and new quantization rules of supergravityPhysical Review D, 1978
- Hamiltonian formalism, quantization and S matrix for supergravityPhysics Letters B, 1977
- Relativistic S-matrix of dynamical systems with boson and fermion constraintsPhysics Letters B, 1977
- Quantization of relativistic systems with constraintsPhysics Letters B, 1975
- The Feynman integral for singular LagrangiansTheoretical and Mathematical Physics, 1969