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Manuscript Title: Monte Carlo simulation of U(1) lattice gauge theory.
Authors: R.C. Edgar, L. McCrossen, K.J.M. Moriarty
Program title: U1LATTICE
Catalogue identifier: ABEA_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 22(1981)433
Programming language: Fortran.
Computer: CDC 7600.
Operating system: SCOPE.
RAM: 16K words
Word size: 60
Keywords: Lattice gauge theory, Elementary, Particle physics, Qcd, U(1), Quark confinement, Phase diagram, Phase transition, Statistical mechanics, Action per plaquette, Monte carlo.
Classification: 11.5.

Nature of problem:
The program calculates the average action per plaquette for U(1) lattice gauge theory. Gauge theories formulated on a lattice were proposed by Wilson and Polyakov and the average plaquette action is an important observable in the study of phase transitions in such systems.

Solution method:
A Monte Carlo simulation of the lattice system, using the heat bath method adapted to U(1), generates a series of field configurations approximating statistical equilibrium at a given temperature.

The storage required is dependent on the lattice size. The execution time increases with the lattice size and with the number of Monte Carlo iterations required, and is typically rather long. At temperatures much below the critical point the Monte Carlo vetoing process becomes very slow.

Running time:
The test run took 34 s on the CDC 7600 at ULCC.