Phase diagram of Z(N) and U(1) gauge theories in three dimensions
Journal Article
·
· Phys. Rev., D; (United States)
We present Monte Carlo studies of Z(N) and U(1) lattice gauge theories in three space-time dimensions. The Z(N) gauge theory is analyzed via its dual spin system. We find that Z(N) has one phase transition that moves to zero temperature as N ..-->.. infinity. The U(1) theory has only a single, confining phase. A study of Wilson loops in Z(8) shows that the coefficient of the area law vanishes for all temperatures below the critical temperature. No such zero is seen in the string tension for U(1) gauge theory. We also study the U(1) gauge theory in five dimensions and see a clear signal for a first-order phase transition.
- Research Organization:
- Physics Department, Brookhaven National Laboratory, Upton, New York 11973
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 5447804
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:10; 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
BAG MODEL
BOUNDARY CONDITIONS
COMPOSITE MODELS
ELECTRODYNAMICS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE MODELS
PARTITION FUNCTIONS
PHASE TRANSFORMATIONS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SPACE-TIME
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOUNDARY CONDITIONS
COMPOSITE MODELS
ELECTRODYNAMICS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE MODELS
PARTITION FUNCTIONS
PHASE TRANSFORMATIONS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SPACE-TIME
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS