Fermion Representation of the Three-dimensional Ising Model

1987
15 pages
Published in:
  • Nucl.Phys.B 285 (1987) 264-278
  • Published: 1987

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Abstract: (Elsevier)
The construction of the sign factor ensuring the cancellation of self-intersecting two-dimensional surfaces in the partition function of the three-dimensional Ising model is reviewed. It is shown that the three-dimensional Ising model is exactly equivalent to a model of surfaces with fermionic structure on them. In the naive continuum limit the action of the resulting string theory is defined by the Dirac action induced on a two-dimensional surface.
  • STATISTICAL MECHANICS: ISING
  • LATTICE FIELD THEORY: THREE-DIMENSIONAL
  • LATTICE FIELD THEORY: CONTINUUM LIMIT
  • FERMION
  • MODEL: STRING