Surface states and chiral symmetry on the lattice

Details Surface states and chiral symmetry on the lattice Surface states and chiral symmetry on the lattice

1994-02-17

arxiv.org/abs/hep-lat/9402013v1

Phys.Rev. D50 (1994) 2297-2308

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, BNL-60062

Scientific paper

10.1103/PhysRevD.50.2297

In a Hamiltonian formalism we study chiral symmetry for lattice Fermions formulated in terms of Shockley surface states bound to a wall in an extra spatial dimension. For hadronic physics this provides a natural scheme for taking quark masses to zero without requiring a precise tuning of parameters. We illustrate the chiral anomaly as a flow of states in this extra dimension. We discuss two alternatives for extending the picture to a chiral coupling of gauge fields to such Fermions; one with a small explicit breaking of gauge symmetry and one one with heavy mirror Fermions.

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