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arXiv · 1711.02269

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

Katsumasa Nakayama·Shoji Hashimoto·Hidenori Fukaya
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Abstract

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 $O(\alpha_s^4)$.

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Katsumasa Nakayama, Shoji Hashimoto, Hidenori Fukaya. 2017-11-07. Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD. https://doi.org/10.1051/epjconf/201817510003

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