A formula for the hopping expansion of 8-vertex models coupled to an external field

Abstract

We study a generalized 8-vertex model where the vertices are coupled to a locally varying field. We rewrite the partition function as an integral over Grassmann variables. In this form it is possible to explicitly evaluate all terms of the hopping expansion. Applications of the resulting formula, in particular its relation to 2-D lattice field theories with fermions are discussed.

Revised version, to appear in Int. J. Mod. Phys. A. Remarks and references added, typos corrected

References in corpus (3)

• Evaluating Grassmann Integrals
• The lattice Schwinger model as a discrete sum of filled Wilson loops
• Loop representation for 2-D Wilson lattice fermions in a scalar background field

Cited by in corpus (6)

• Approaches to the sign problem in lattice field theory
• The lattice Schwinger model as a discrete sum of filled Wilson loops
• Loop representation for 2-D Wilson lattice fermions in a scalar background field
• Fermion loop simulation of the lattice Gross-Neveu model
• Isocliny in spinor space and Wilson fermions
• Fermion loop simulations in 2--d lattice theories -- results and limitations