Residual chiral symmetry breaking in domain-wall fermions - art. no. 054509

We study the effective quark mass induced by the finite separation of the d omain walls in the domain-wall formulation of chiral fermion as the functio n of the size of the fifth dimension (L-s), the gauge coupling beta and the physical volume V. We measure the mass by calculating the small eigenvalue s of the Hermitian domain-wall Dine operator [H-DWF(m(o))] in the topologic ally-nontrivial quenched SU(3) gauge configurations. We find that the induc ed quark mass is nearly independent of the physical volume, decays exponent ially as a function of L-s, and has a strong dependence on the size of quan tum fluctuations controlled by beta. The effect of the choice of the lattic e gluon action is also studied.