Violation of chirality of the M\"obius domain-wall Dirac operator from the eigenmodes

Akio Tomiya; Hidenori Fukaya; JLQCD Collaboration: Guido Cossu; Shoji Hashimoto

Violation of chirality of the M\"obius domain-wall Dirac operator from the eigenmodes

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arxiv 1510.07395 v1 pith:OLBNG46H submitted 2015-10-26 hep-lat

JLQCD collaboration: Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Akio Tomiya This is my paper · ORCID

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keywords eigenmodesdiracdomain-walleffectivefinitegw-violatingobiusoperator

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We investigate the effects of the violation of the Ginsparg-Wilson (GW) relation in the M\"obius domain-wall fermion formulation on the lattice with finite fifth dimension. Using a decomposion in terms of the eigenmodes of its four-dimensional effective Dirac operator, we isolate the GW-violating terms for various physical quantities including the residual mass and the meson susceptibilities relevant for the effective restoration of the axial U(1) symmetry at finite temperature. Numerical result shows that the GW-violating effect is more significant, or even overwhelming, for the quantities that are dominated by the low-lying eigenmodes.

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