Abstract
We study the effective quark mass induced by the finite separation of the domain walls in the domain-wall formulation of chiral fermion as the function of the size of the fifth dimension ( L s ), the gauge coupling (β) and the physical volume ( V). We measure the mass by calculating the small eigenvalues of the hermitian domain-wall Dirac operator ( H DWF( m 0 = 1.8)) in the topologically-nontrivial quenched SU(3) gauge configurations. We find that the induced quark mass is nearly independent of the physical volume, decays exponentially as a function of L s , and has a strong dependence on the size of quantum fluctuations controlled by β. The effect of the choice of the lattice gluon action is also studied.
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