Residual Chiral Symmetry Breaking in Domain-Wall Fermions
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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 ($H_{\rm DWF}(m_0=1.8))$ 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.
Lattice 2000 (Chiral fermions), 4 pages, 5 figures
Lattice 2000 (Chiral fermions), 4 pages, 5 figures