Spin Chains and Chiral Lattice Fermions

Details Spin Chains and Chiral Lattice Fermions Spin Chains and Chiral Lattice Fermions

1994-12-02

arxiv.org/abs/hep-lat/9412019v1

Nucl.Phys.Proc.Suppl. 42 (1995) 642-644

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, latex, no figures

Scientific paper

10.1016/0920-5632(95)00337-9

The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter's corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by fermionized nearest-neighbor Heisenberg spin chain operators. The transformation properties of the local lattice fermion operators under a boost provide a natural and precise way of generalizing the chiral structure of a continuum Dirac field to the lattice. The resulting formulation differs from both the Wilson and staggered (Kogut-Susskind) prescriptions. In particular, an axial $Q_5$ rotation is sitewise local, while the vector charge rotation mixes nearest neighbors on even and odd sublattices.

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