Gauge fixing and canonical quantization
Journal Article
·
· Phys. Rev., D; (United States)
We study the canonical quantization of non-Abelian gauge fields in the temporal gauge A/sub 0/ = 0. We impose the constraint condition of Gauss's law by performing a point transformation into any of a large class of noncovariant gauges. The Faddeev and Popov operator arises naturally in this procedure; indeed, we prove the equivalence of all gauges in this class. We discuss the nonexistence of some simple gauges and show how topological considerations reduce the theory to quantum mechanics on an infinite-dimensional periodic hypersurface.
- Research Organization:
- Brookhaven National Laboratory, Upton, New York 11973
- OSTI ID:
- 6334248
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:2; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
DIAGRAMS
ELECTRODYNAMICS
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
HILBERT SPACE
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
QUASI PARTICLES
SOLITONS
SPACE
SPACE-TIME
WARD IDENTITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
DIAGRAMS
ELECTRODYNAMICS
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
HILBERT SPACE
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
QUASI PARTICLES
SOLITONS
SPACE
SPACE-TIME
WARD IDENTITY