Gauge fixing, the transfer matrix, and confinement on a lattice. [Hamiltonian]
Journal Article
·
· Phys. Rev., D; (United States)
We use the transfer-matrix formalism of statistical mechanics to relate Wilson's Lagrangian approach and the Kogut-Susskind Hamiltonian approach to gauge theories on a lattice. As a preliminary we discuss gauge fixing in Wilson's theory. This process leaves invariant Green's functions of gauge singlet operators. Taking the timelike lattice spacing to zero, we extract the Kogut-Susskind Hamiltonian from the transfer matrix in the gauge A/sub 0/ = 0.
- Research Organization:
- Brookhaven National Laboratory, Upton, New York 11973
- OSTI ID:
- 7118049
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:4; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BASIC INTERACTIONS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HAMILTONIAN FUNCTION
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
MINKOWSKI SPACE
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SPACE
SPACE-TIME
STATISTICAL MECHANICS
STRONG INTERACTIONS
TRANSFER MATRIX METHOD
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BASIC INTERACTIONS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HAMILTONIAN FUNCTION
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
MINKOWSKI SPACE
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SPACE
SPACE-TIME
STATISTICAL MECHANICS
STRONG INTERACTIONS
TRANSFER MATRIX METHOD