Monte Carlo Study of Compact U(1) Four-dimensional Lattice Gauge Theory

Moriarty, K.J.M.

doi:10.1103/PhysRevD.25.2185

Monte Carlo Study of Compact U(1) Four-dimensional Lattice Gauge Theory

K.J.M. Moriarty
(
- DESY and
- Dalhousie U. and
- Royal Holloway, U. of London
)

Apr, 1981

29 pages

Published in:

Phys.Rev.D 25 (1982) 2185

DOI:

10.1103/PhysRevD.25.2185

Report number:

Print-81-0325 (ROYAL HOLLOWAY)

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Abstract: (APS)

Expectation values of the specific heat and of Wilson loops are presented for compact U(1) gauge theory on 44, 54, and 64 lattices, calculated by averages over up to 7500 iterations through the lattice generated by Monte Carlo methods. The calculations show clear evidence for a single second-order phase transition.

LATTICE FIELD THEORY
GAUGE FIELD THEORY: U(1)
GAUGE FIELD THEORY: CRITICAL PHENOMENA
GAUGE FIELD THEORY: FOUR-DIMENSIONAL
GAUGE FIELD THEORY: WILSON LOOP
MODEL: STRONG COUPLING
STRONG COUPLING: MODEL
LATTICE: WEAK COUPLING
WEAK COUPLING: LATTICE
NUMERICAL CALCULATIONS: MONTE CARLO

References(7)

Figures(0)

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Alan H. Guth
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Monte Carlo Study of Compact U(1) Four-dimensional Lattice Gauge Theory

Citations per year

Existence Proof of a Nonconfining Phase in Four-Dimensional U(1) Lattice Gauge Theory

Confinement and the Critical Dimensionality of Space-Time

Monte Carlo Study of Abelian Lattice Gauge Theories

The Phase Diagram of ZZZ(n) and uuu(1) Gauge Theories in Three-dimensions

Phase Transition in Four-Dimensional Compact QED

The Phase Diagram of $Z$ (n) and $u$ (1) Gauge Theories in Three-dimensions