Mean Field With Corrections Approach to the Mixed U(1) Lattice Gauge Theory

Dagotto, Elbio

doi:10.1103/PhysRevD.30.1276

Mean Field With Corrections Approach to the Mixed U(1) Lattice Gauge Theory

Elbio Dagotto
(
- Centro Atomico Bariloche and
- Cuyo U.
)

Mar, 1984

29 pages

Published in:

Phys.Rev.D 30 (1984) 1276

DOI:

10.1103/PhysRevD.30.1276

Report number:

Print-84-0222 (BARILOCHE)

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Abstract: (APS)

The mixed U(1) lattice gauge theory is analyzed by the mean-field technique including 1d corrections, d being the dimension of the lattice. In order to apply the saddle-point approximation required in the method, the convenience of considering different unconstrained degrees of freedom for each power of the link variables in the action is shown. The phase diagram given by Monte Carlo simulations is reproduced with high accuracy for d=4 and 5. Generalizations to other actions and gauge groups are also discussed.

LATTICE FIELD THEORY: CRITICAL PHENOMENA
GAUGE FIELD THEORY: U(1)
APPROXIMATION: MEAN FIELD
EXPANSION 1/D
INVARIANCE: GAUGE

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