Bethe-peierls Approximation for Lagrangian and Hamiltonian Lattice Models

Jun, 1983
22 pages
Published in:
  • Phys.Rev.D 29 (1984) 300
Report number:
  • Print-83-0502 (BARILOCHE)

Citations per year

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Abstract: (APS)
The Bethe-Peierls approximation is applied to the classical Ising model in D dimensions and in a variational treatment of the Hamiltonian Z(2) gauge model in 2+1 dimensions. These analytical and simple calculations are in good agreement with exact results.
  • STATISTICAL MECHANICS: ISING
  • GAUGE FIELD THEORY: Z(2)
  • GAUGE FIELD THEORY: THREE-DIMENSIONAL
  • APPROXIMATION: MEAN FIELD
  • LATTICE FIELD THEORY: CRITICAL PHENOMENA
  • RENORMALIZATION GROUP
  • NUMERICAL CALCULATIONS
  • MATHEMATICAL METHODS: VARIATIONAL
  • vacuum state: energy STATE