Ginsparg-Wilson Relation and Spin Chains
High Energy Physics - Lattice
2009-10-31 v1
Abstract
The Baxter 8-vertex model is equivalent to a particular lattice formulation of a self-interacting, massive Dirac fermion theory. In the time-continuum limit, the lattice Hamiltonian (XYZ spin chain) can be explicitly transformed to a lattice Dirac Hamiltonian. We show that the kernel describing the quadratic part of this Hamiltonian satisfies a one-dimensional version of the Ginsparg-Wilson relation. The corresponding conserved charge is derived and compared with the conserved arrow number of the 8-vertex model.
Keywords
Cite
@article{arxiv.hep-lat/9809108,
title = {Ginsparg-Wilson Relation and Spin Chains},
author = {Ivan Horvath and Harry B. Thacker},
journal= {arXiv preprint arXiv:hep-lat/9809108},
year = {2009}
}
Comments
LATTICE98(chiral)