English

Calculation of PCAC mass with Wilson fermion using gradient flow

High Energy Physics - Lattice 2020-01-07 v1

Abstract

We calculate the PCAC mass for (2+1)(2+1) flavor full QCD with Wilson-type quarks. We adopt the Small Flow-time eXpansion (SFtX) method based on the gradient flow which provides us a general way to compute correctly renormalized observables even if the relevant symmetries for the observable are broken explicitly due to the lattice regularization, such as the Poinc\'{a}re and chiral symmetries. Our calculation is performed on heavy u,du, d quarks mass (mπ/mρ0.63m_{\pi}/m_{\rho}\simeq0.63) and approximately physical ss quark mass with fine lattice a0.07a \simeq 0.07~fm. The results are compared with those computed with the Schr\"odinger functional method.

Keywords

Cite

@article{arxiv.2001.01524,
  title  = {Calculation of PCAC mass with Wilson fermion using gradient flow},
  author = {Atsushi Baba and Shinji Ejiri and Kazuyuki Kanaya and Masakiyo Kitazawa and Asobu Suzuki and Hiroshi Suzuki and Yusuke Taniguchi and Takashi Umeda},
  journal= {arXiv preprint arXiv:2001.01524},
  year   = {2020}
}

Comments

7 pages, 6 figures, Talk presented at the 37th International Symposium on Lattice Field Theory (Lattice2019), 16-22 June 2019, Wuhan, China

R2 v1 2026-06-23T13:03:47.627Z