Atsushi Baba, S. Ejiri, K. Kanaya, M. Kitazawa, A. Suzuki, Hiroshi Suzuki, Y. Taniguchi, T. Umeda
{"title":"用梯度流计算Wilson费米子PCAC质量","authors":"Atsushi Baba, S. Ejiri, K. Kanaya, M. Kitazawa, A. Suzuki, Hiroshi Suzuki, Y. Taniguchi, T. Umeda","doi":"10.22323/1.363.0191","DOIUrl":null,"url":null,"abstract":"We calculate the PCAC mass for $(2+1)$ 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 Poincare 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 Schrodinger functional method.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Calculation of PCAC mass with Wilson fermion using gradient flow\",\"authors\":\"Atsushi Baba, S. Ejiri, K. Kanaya, M. Kitazawa, A. Suzuki, Hiroshi Suzuki, Y. Taniguchi, T. Umeda\",\"doi\":\"10.22323/1.363.0191\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We calculate the PCAC mass for $(2+1)$ 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 Poincare 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 Schrodinger functional method.\",\"PeriodicalId\":8440,\"journal\":{\"name\":\"arXiv: High Energy Physics - Lattice\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: High Energy Physics - Lattice\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22323/1.363.0191\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: High Energy Physics - Lattice","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.363.0191","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Calculation of PCAC mass with Wilson fermion using gradient flow
We calculate the PCAC mass for $(2+1)$ 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 Poincare 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 Schrodinger functional method.