Hopping expansion as a tool for handling dual variables in lattice models

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LATTICE98(spin), Reference corrected

Scientific paper

10.1016/S0920-5632(99)85199-8

The hopping expansion of 8-vertex models in their Grassmann representation is
studied. We use the functional similarity of the Ising model in this expansion
with the hopping expansion of 2-D Wilson fermions to show that the lattice
fermions are equivalent to the Self-avoiding Loop Model at bending rigidity
1/sqrt{2}.

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