Parton degrees of freedom in PDFs from the hadronic tensor and large momentum effective theory

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Abstract

We point out a problem of the phenomenological definition of the valence partons as the difference between the partons and antipartons in the context of the next-to-next-leading-order evolution equations. After demonstrating that the classification of the parton degrees of freedom (PDF) of the parton distribution functions (PDFs) are the same in the QCD path-integral formulations of the hadronic tensor and the quasi-PDF with large momentum effective theory (LaMET), we resolve the problem by showing that the proper definition of the valence partons should be in terms of those in the connected insertions only. We also prove that the strange partons appear as the disconnected sea in the nucleon.

Original languageEnglish
Article number074502
JournalPhysical Review D
Volume102
Issue number7
DOIs
StatePublished - Oct 2020

Bibliographical note

Funding Information:
The author is indebted to S. Brodsky, J. W. Chen, N. Christ, M. Diehl, T. Draper,Y. Hatta, X. Ji, F. X. Lee, J. Liang, P. Nadolsky, J. C. Peng, J. W. Qiu, A. Thomas, Y. B. Yang, and C. P. Yuan for insightful discussions. He also thanks Huey-Wen Lin and Martha Constantinou for allowing him to use their figures in Fig. . This work is partially support by the U.S. DOE Grant No. DE-SC0013065 and DOE Grant No. DE-AC05-06OR23177 which is within the framework of the TMD Topical Collaboration. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This work used Stampede time under the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1053575. We also thank the National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy.

Publisher Copyright:
© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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