Hamiltonian domain wall fermions at strong coupling - art. no. 114511

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