A FORMULA FOR THE HOPPING EXPANSION OF EIGHT-VERTEX MODELS COUPLED TO AN EXTERNAL FIELD

Author:

GATTRINGER CHRISTOF1

Affiliation:

1. Massachusetts Institute of Technology, Center for Theoretical Physics, 77 Massachusetts Avenue Cambridge MA 02139, USA

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 evaluate all terms of the hopping expansion. Applications of the resulting formula, in particular its relation to 2D lattice field theories with fermions are discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Approaches to the sign problem in lattice field theory;International Journal of Modern Physics A;2016-08-09

2. Fermion-loop simulation of the lattice Gross-Neveu model;Physical Review D;2007-07-12

3. Isocliny in spinor space and Wilson fermions;Nuclear Physics B;2000-08

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