RI/MOM renormalization of the parton quasidistribution functions in lattice regularization
Zhang, Kuan; Li, Yuan-Yuan; Huo, Yi-Kai; Schaefer, Andreas3; Sun, Peng1; Yang, Yi-Bo
刊名PHYSICAL REVIEW D
2021
卷号104期号:7页码:74501
关键词NONPERTURBATIVE RENORMALIZATION SOLVERS QUARKS QCD
ISSN号2470-0010
DOI10.1103/PhysRevD.104.074501
英文摘要We analyze the lattice spacing dependence for the pion unpolarized matrix element of a quark bilinear operator with a Wilson link (parton quasi distribution functions operator, quasi-PDFs) in the rest frame, using 13 lattice spacings ranging from 0.032 to 0.121 fm. We compare results for three different fermion actions with or without good chiral symmetry on dynamical gauge ensembles from three collaborations. This investigation is motivated by the fact that the gauge link generates a 1/a divergence, the cancellation of which in many ratios can be numerically tricky. Indeed, our results show that this cancellation deteriorates with decreasing lattice spacing, and that the RI/MOM method leaves a linearly divergent residue for quasi-PDFs. We also show that in the Landau gauge the interaction between the Wilson link and the external state results in a linear divergence which depends on the discretized fermion action.
学科主题Astronomy & Astrophysics ; Physics
语种英语
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/27655]  
专题理论物理研究所_理论物理所1978-2010年知识产出
作者单位1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Nanjing Normal Univ, Nanjing 210023, Jiangsu, Peoples R China
3.Columbia Univ, Phys Dept, New York, NY 10027 USA
4.Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
5.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China
6.Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China
7.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
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GB/T 7714
Zhang, Kuan,Li, Yuan-Yuan,Huo, Yi-Kai,et al. RI/MOM renormalization of the parton quasidistribution functions in lattice regularization[J]. PHYSICAL REVIEW D,2021,104(7):74501.
APA Zhang, Kuan,Li, Yuan-Yuan,Huo, Yi-Kai,Schaefer, Andreas,Sun, Peng,&Yang, Yi-Bo.(2021).RI/MOM renormalization of the parton quasidistribution functions in lattice regularization.PHYSICAL REVIEW D,104(7),74501.
MLA Zhang, Kuan,et al."RI/MOM renormalization of the parton quasidistribution functions in lattice regularization".PHYSICAL REVIEW D 104.7(2021):74501.
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