| Issue |
EPJ Web Conf.
Volume 175, 2018
35th International Symposium on Lattice Field Theory (Lattice 2017)
|
|
|---|---|---|
| Article Number | 10003 | |
| Number of page(s) | 8 | |
| Section | 10 Standard Model Parameters and Renormalization | |
| DOI | https://doi.org/10.1051/epjconf/201817510003 | |
| Published online | 26 March 2018 | |
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
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