Variational Method for the (2) Gauge Model
Feb, 1979
33 pages
Published in:
- Phys.Rev.D 22 (1980) 3034
Report number:
- PRINT-79-0696-REV. (BARILOCHE),
- PRINT-79-0696 (BARILOCHE)
Citations per year
Abstract: (APS)
A variational method similar to the one used for the Ising model is applied to the Hamiltonian Z(2) lattice gauge theory in three dimensions. It is shown that the proposal of a gauge-invariant ground state leads to a transition in the Wilson loop integral from the area to the perimeter behavior for a value of the coupling constant close to the symmetry point predicted by self-duality. The discontinuity which appears in the variational parameter gives strong evidence in favor of the first-order nature of the transition in contrast to what occurs for the two-dimensional model.Note:
- Revised Version
- GAUGE FIELD THEORY: FOUR-DIMENSIONAL
- LATTICE FIELD THEORY
- GAUGE FIELD THEORY: Z(2)
- DUALITY
- APPROXIMATION: MEAN FIELD
- STATISTICAL MECHANICS: ISING
- GAUGE FIELD THEORY: CRITICAL PHENOMENA
- INVARIANCE: GAUGE
- PERTURBATION THEORY
- NUMERICAL CALCULATIONS
References(19)
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