https://doi.org/10.1051/epjconf/201817510003
Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD
1
Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
2
KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
3
School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan
4
Department of Physics, Osaka University, Toyonaka, Osaka 560-0043 Japan
* e-mail: katumasa@post.kek.jp
Published online: 26 March 2018
We compute the Dirac spectral density of QCD in a wide range of eigenvalues by using a stochastic method. We use 2+1 flavor lattice ensembles generated with Mobius domain-wall fermion at three lattice spacings (a = 0:083; 0:055; 0:044 fm) to estimate the continuum limit. The discretization effect can be minimized by a generalization of the valence domain-wall fermion. The spectral density at relatively high eigenvalues can be matched with perturbation theory. We compare the lattice results with the perturbative expansion available to O(α4s).
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
