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arXiv · hep-lat/9809108

Ginsparg-Wilson Relation and Spin Chains

Ivan Horvath·Harry B. Thacker
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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.

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Ivan Horvath, Harry B. Thacker. 1998-09-15. Ginsparg-Wilson Relation and Spin Chains. https://doi.org/10.1016/s0920-5632(99)85172-x

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