Residual Chiral Symmetry Breaking in Domain-Wall Fermions

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 $\beta$ and the physical volume $V$. We measure the mass by calculating the small eigenvalues of the hermitian domain-wall Dirac operator ($H_{\mathrm{DWF}}(m_0))$ 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 $\beta$. The effect of the choice of the lattice gluon action is also studied.

12 pages, 7 figures

References in corpus (7)

• Approach to the Continuum Limit of the Quenched Hermitian Wilson-Dirac Operator
• Truncated Overlap Fermions
• Exact local fermionic zero modes
• Domain Wall Fermions in Quenched Lattice QCD
• How well do domain wall fermions realize chiral symmetry?
• Lattice QCD with Domain-Wall Fermions
• Domain-Wall Induced Quark Masses in Topologically-Nontrivial Background

Cited by in corpus (6)

• Domain wall fermions with improved gauge actions
• Super Yang-Mills on the lattice with domain wall fermions
• Lattice Study of the Massive Schwinger Model with $\theta$ Term under Lüscher's "Admissibility" Condition
• Are Topological Charge Fluctuations in QCD Instanton Dominated?
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$