Calculation of PCAC mass with Wilson fermion using gradient flow
A. Baba*, S. Ejiri, K. Kanaya, M. Kitazawa, A. Suzuki, H. Suzuki, Y. Taniguchi and T. Umeda
Pre-published on:
January 04, 2020
Published on:
August 27, 2020
Abstract
We calculate the PCAC mass for $(2+1)$ flavor full QCD with Wilson-type quarks. We adopt the \textbf{S}mall \textbf{F}low-\textbf{\textit{t}}ime e\textbf{X}pansion (\textbf{SF\textit{t}X}) 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 $u, d$ quarks mass ($m_{\pi}/m_{\rho}\simeq0.63$) and approximately physical $s$ quark mass with fine lattice $a \simeq 0.07$~fm. The results are compared with those computed with the Schr\"odinger functional method.
DOI: https://doi.org/10.22323/1.363.0191
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.