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Residual Chiral Symmetry Breaking in Domain-Wall Fermions

Chulwoo Jung·Valeriya Gadiyak·Xiangdong Ji·Robert G. Edwards
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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 ($H_{\rm DWF}(m_0))$ 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 $β$. The effect of the choice of the lattice gluon action is also studied.

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Chulwoo Jung, Valeriya Gadiyak, Xiangdong Ji, Robert G. Edwards. 2000-09-06. Residual Chiral Symmetry Breaking in Domain-Wall Fermions. https://doi.org/10.1103/physrevd.63.054509

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