Experiments with a Gauge Invariant Ising System

Creutz, Michael; Jacobs, Laurence; Rebbi, Claudio

doi:10.1103/PhysRevLett.42.1390

Experiments with a Gauge Invariant Ising System

Mar, 1979

14 pages

Published in:

Phys.Rev.Lett. 42 (1979) 1390

DOI:

10.1103/PhysRevLett.42.1390

Report number:

BNL-25858

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Abstract: (APS)

Using Monte Carlo techniques, we evaluate the path integral for the four-dimensional lattice gauge theory with a Z2 gauge group. The system exhibits a first-order transition. This is contrary to the implications of the approximate Migdal recursion relations but consistant with mean-field-theory arguments. Our "data" agree well with a low-temperature expansion and the exact duality between the high- and low-temperature phases.

LATTICE FIELD THEORY: FOUR-DIMENSIONAL
GAUGE FIELD THEORY: Z(2)
FIELD THEORY: PATH INTEGRAL
FIELD THEORY: CRITICAL PHENOMENA
STATISTICAL MECHANICS: ISING
DUALITY
NUMERICAL CALCULATIONS: MONTE CARLO

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