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]
- Kyoto Univ. (Japan). Dept. of Physics
- Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics
- Central China Normal Univ., Wuhan (China). Key Lab.of Quark and Lepton Physics (MOE) and Inst. of Particle Physics
- 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}
}