Hamiltonian domain wall fermions at strong coupling

Details Hamiltonian domain wall fermions at strong coupling Hamiltonian domain wall fermions at strong coupling

1999-12-14

arxiv.org/abs/hep-lat/9912019v2

Phys.Rev. D61 (2000) 114511

Physics

High Energy Physics

High Energy Physics - Lattice

Revtex, 21 pp. Some changes in Introduction, dealing with consistency with previous work

Scientific paper

10.1103/PhysRevD.61.114511

We apply strong-coupling perturbation theory to gauge theories containing domain-wall fermions in Shamir's surface version. We construct the effective Hamiltonian for the color-singlet degrees of freedom that constitute the low-lying spectrum at strong coupling. We show that the effective theory is identical to that derived from naive, doubled fermions with a mass term, and hence that domain-wall fermions at strong coupling suffer both doubling and explicit breaking of chiral symmetry. Since we employ a continuous fifth dimension whose extent tends to infinity, our result applies to overlap fermions as well.

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