New Domain-Wall Fermion Actions

Details New Domain-Wall Fermion Actions New Domain-Wall Fermion Actions

2000-03-30

arxiv.org/abs/hep-lat/0003024v1

Phys.Rev. D62 (2000) 054513

Physics

High Energy Physics

High Energy Physics - Lattice

latex, epsf, 25 pages

Scientific paper

10.1103/PhysRevD.62.054513

In perturbation theory, the wave function of domain-wall quarks decreases exponentially with the fifth coordinate. We show that, regardless of the quark's own momentum, the fall-off rate of the one-loop wave function is equal to the slowest rate encountered at tree-level for any lattice four-momentum. We propose new domain-wall actions involving beyond-nearest neighbor couplings in the four physical dimensions, for which the perturbative wave function decreases much faster. It is hoped that the new actions may preserve the good chiral properties of domain-wall fermions up to larger values of the lattice spacing.

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