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