Quantization of finite-dimensional gauge theories with indefinite metrics
Journal Article
·
· Theor. Math. Phys.; (United States)
OSTI ID:5135622
The authors develop a nonperturbative approach to the quantization of finite-dimensional gauge systems in the framework of the GuptaBleuler formalism. A finite-dimensional gauge theory is considered with Abelian symmetry group (scalar electrodynamics on a finite lattice). Some problems of the constructive construction of a state space with indefinite metric are discussed. The construction of the auxiliary definite metric, and the distinguishing of the physical sector, are examined.
- Research Organization:
- Institute of High Energy Physics, Serpukhov
- OSTI ID:
- 5135622
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 64:3; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
CHAPMAN-KOLMOGOROV EQUATION
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HILBERT SPACE
INTEGRALS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MARKOV PROCESS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
METRICS
PARTICLE MODELS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SCALAR FIELDS
SPACE
STOCHASTIC PROCESSES
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
WICK THEOREM
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
CHAPMAN-KOLMOGOROV EQUATION
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HILBERT SPACE
INTEGRALS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MARKOV PROCESS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
METRICS
PARTICLE MODELS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SCALAR FIELDS
SPACE
STOCHASTIC PROCESSES
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
WICK THEOREM