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

Authors
Gattringer, C
Citation
C. Gattringer, A formula for the hopping expansion of eight-vertex models coupled to an external field, INT J MOD P, 14(30), 1999, pp. 4853-4863
Citations number
31
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
14
Issue
30
Year of publication
1999
Pages
4853 - 4863
Database
ISI
SICI code
0217-751X(199912)14:30<4853:AFFTHE>2.0.ZU;2-8
Abstract
We study a generalized eight-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 evaluat e all terms of the hopping expansion. Applications of the resulting formula , in particular its relation to 2D lattice field theories with fermions are discussed.