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Title: Classical and quantum entropy of parton distributions

We introduce the semiclassical Wehrl entropy for the nucleon as a measure of complexity of the multiparton configuration in phase space. This gives a new perspective on the nucleon tomography. We evaluate the entropy in the small-x region and compare with the quantum von Neumann entropy. We also argue that the growth of entropy at small x is eventually slowed down due to the Pomeron loop effect.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Kyoto Univ. (Japan). Dept. of Physics
  2. Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics
  3. Central China Normal Univ., Wuhan (China). Key Lab.of Quark and Lepton Physics (MOE) and Inst. of Particle Physics
  4. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Division
Publication Date:
Grant/Contract Number:
AC02-05CH11231; 17J08072
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1439376
Alternate Identifier(s):
OSTI ID: 1461140

Hagiwara, Yoshikazu, Hatta, Yoshitaka, Xiao, Bo-Wen, and Yuan, Feng. Classical and quantum entropy of parton distributions. United States: N. p., Web. doi:10.1103/PhysRevD.97.094029.
Hagiwara, Yoshikazu, Hatta, Yoshitaka, Xiao, Bo-Wen, & Yuan, Feng. Classical and quantum entropy of parton distributions. United States. doi:10.1103/PhysRevD.97.094029.
Hagiwara, Yoshikazu, Hatta, Yoshitaka, Xiao, Bo-Wen, and Yuan, Feng. 2018. "Classical and quantum entropy of parton distributions". United States. doi:10.1103/PhysRevD.97.094029.
@article{osti_1439376,
title = {Classical and quantum entropy of parton distributions},
author = {Hagiwara, Yoshikazu and Hatta, Yoshitaka and Xiao, Bo-Wen and Yuan, Feng},
abstractNote = {We introduce the semiclassical Wehrl entropy for the nucleon as a measure of complexity of the multiparton configuration in phase space. This gives a new perspective on the nucleon tomography. We evaluate the entropy in the small-x region and compare with the quantum von Neumann entropy. We also argue that the growth of entropy at small x is eventually slowed down due to the Pomeron loop effect.},
doi = {10.1103/PhysRevD.97.094029},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}