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Violation of chirality of the Möbius domain-wall Dirac operator from the eigenmodes

Guido Cossu*

Hidenori Fukaya† and Akio Tomiya‡

Shoji Hashimoto§

  • Theory Center, IPNS, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0810, Japan

  • Department of Physics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan

  • Theory Center, IPNS, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0810, Japan and School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan

  • *cossu@post.kek.jp
  • †hfukaya@het.phys.sci.osaka-u.ac.jp
  • ‡akio@het.phys.sci.osaka-u.ac.jp
  • §shoji.hashimoto@kek.jp
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Phys. Rev. D 93, 034507 – Published 25 February, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.034507

Abstract

We investigate the effects of the violation of the Ginsparg-Wilson (GW) relation in the Möbius domain-wall fermion formulation on the lattice with finite fifth dimension. Using a decomposition 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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Phys. Rev. D 93, 034507– Published 25 February, 2016
  • Received 5 November 2015

© 2016 American Physical Society

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