Fetching the paper…

Reading the bibliography…

2019

UV divergence of the quasi-PDF operator under the lattice regularization

Huo, Yikai, Sun, Peng

Original
PDF
Post on X

Understand

Even since the "quasi" parton distribution function (PDF) was proposed under the large-momentum effective theory (LaMET) framework, its renormalization under the lattice regularization has been a central challenge to be solved due to the linear divergence.

Thus, we investigate several possible ways to renormalize the quasi-PDF operators in high accuracy with non-perturbative calculation using the quench configurations at several lattice spacings.
We find that the ratio of the UV divergences obtained from the Wilson loop and off-shell quasi-PDF operator is not a constant of the Wilson link length $z$.
Although the linear divergence in them may be consistent to each other numerically, there is some additional UV divergence in the quasi-PDF operator.

UV divergence of the quasi-PDF operator under the lattice regularization · Around

Built on

R. Gupta, in Probing the standard model of particle interactions. Proceedings, Summer School in Theoretical Physics, NATO Advanced Study Institute, 68th session, Les Houches, France, July 28-September 5, 1997. Pt. 1, 2 (1997) pp. 83–219, arXiv:hep-lat/9807028 [hep-lat]
1997
Earlier work this paper cites.
R. G. Edwards and B. Joo (SciDAC, LHPC, UKQCD), Lattice field theory. Proceedings, 22nd International Symposium, Lattice 2004, Batavia, USA, June 21-26, 2004 , Nucl. Phys. Proc. Suppl. 140
2004
Earlier work this paper cites.
X. Ji, Phys. Rev. Lett. 110
Original
2013
Earlier work this paper cites.
X. Xiong, X. Ji, J.-H. Zhang, and Y. Zhao, Phys. Rev. D90
Original
2014
Earlier work this paper cites.

Similar

X. Ji and J.-H. Zhang, Phys. Rev. D92
Original
2015
Cited alongside, same era.
T. Ishikawa, Y.-Q. Ma, J.-W. Qiu, and S. Yoshida, Phys. Rev. D96
Original
2017
Cited alongside, same era.
J.-W. Chen, X. Ji, and J.-H. Zhang, Nucl. Phys. B915
Original
2017
Cited alongside, same era.
J.-H. Zhang, J.-W. Chen, X. Ji, L. Jin, and H.-W. Lin, Phys. Rev. D95
Original
2017
Cited alongside, same era.

Then

C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, and F. Steffens, Nucl. Phys. B923
Original
2017
Later among the works it cites.
X. Ji, J.-H. Zhang, and Y. Zhao, Phys. Rev. Lett. 120
Original
2018
Later among the works it cites.
J. Green, K. Jansen, and F. Steffens, Phys. Rev. Lett. 121
Original
2018
Later among the works it cites.
J.-W. Chen, T. Ishikawa, L. Jin, H.-W. Lin, Y.-B. Yang, J.-H. Zhang, and Y. Zhao, Phys. Rev. D97
Original
2018
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…