Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-09-15
Nucl.Phys.Proc.Suppl. 73 (1999) 682-684
Physics
High Energy Physics
High Energy Physics - Lattice
LATTICE98(chiral)
Scientific paper
10.1016/S0920-5632(99)85172-X
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.
Horváth Ivan
Thacker Harry B.
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