Monte Carlo study of Abelian lattice gauge theories

Journal Article · Mon Oct 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1915· OSTI ID:5866743

Creutz, M; Jacobs, L; Rebbi, C

Using Monte Carlo techniques, we study the thermodynamics of four-dimensional Euclidean lattice gauge theories, with gauge groups Z/sub N/ and U(1). For N < or = 4 the models exhibit a single first-order phase transition, while for N > or = 5 we observe two transitions of higher order. As N increases, one of these transitions moves toward zero temperature, whereas the other remains at finite temperature and survives in the U(1) limit. The behavior of the Wilson loop factor is also analyzed for the Z/sub 2/ and Z/sub 6/ models.

• Research Organization: Physics Department, Brookhaven National Laboratory, Upton, New York 11973
• OSTI ID: 5866743
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
EUCLIDEAN SPACE
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
ISING MODEL
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
RIEMANN SPACE
SPACE
STATISTICAL MODELS
SYMMETRY GROUPS
THERMODYNAMICS
U GROUPS
U-1 GROUPS