Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD

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 ca...

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Main Authors: Nakayama Katsumasa, Hashimoto Shoji, Fukaya Hidenori
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817510003
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author Nakayama Katsumasa
Hashimoto Shoji
Fukaya Hidenori
author_facet Nakayama Katsumasa
Hashimoto Shoji
Fukaya Hidenori
author_sort Nakayama Katsumasa
collection DOAJ
description 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).
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spelling doaj.art-04a35a4b14df4c7188f4eb84709db4a52022-12-21T22:32:59ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011751000310.1051/epjconf/201817510003epjconf_lattice2018_10003Dirac spectral density and mass anomalous dimension in 2+1 flavor QCDNakayama KatsumasaHashimoto ShojiFukaya HidenoriWe 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).https://doi.org/10.1051/epjconf/201817510003
spellingShingle Nakayama Katsumasa
Hashimoto Shoji
Fukaya Hidenori
Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD
EPJ Web of Conferences
title Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD
title_full Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD
title_fullStr Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD
title_full_unstemmed Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD
title_short Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD
title_sort dirac spectral density and mass anomalous dimension in 2 1 flavor qcd
url https://doi.org/10.1051/epjconf/201817510003
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AT hashimotoshoji diracspectraldensityandmassanomalousdimensionin21flavorqcd
AT fukayahidenori diracspectraldensityandmassanomalousdimensionin21flavorqcd