Classical and quantum entropy of parton distributions

作者: Yoshikazu Hagiwara , Yoshitaka Hatta , Bo-Wen Xiao , Feng Yuan

DOI: 10.1103/PHYSREVD.97.094029

关键词:

摘要: We introduce the semiclassical Wehrl entropy for nucleon as a measure of complexity multiparton configuration in phase space. This gives new perspective on tomography. evaluate small-x region and compare with quantum von Neumann entropy. also argue that growth at small x is eventually slowed down due to Pomeron loop effect.

参考文章(61)
Alex Kovner, Michael Lublinsky, None, Entanglement entropy and entropy production in the Color Glass Condensate framework Physical Review D. ,vol. 92, pp. 034016- ,(2015) , 10.1103/PHYSREVD.92.034016
Kôdi Husimi, Some Formal Properties of the Density Matrix Proceedings of the Physico-Mathematical Society of Japan. 3rd Series. ,vol. 22, pp. 264- 314 ,(1940) , 10.11429/PPMSJ1919.22.4_264
Parton Gas Model for the Nucleon Structure Functions arXiv: High Energy Physics - Phenomenology. ,(1995) , 10.1016/0370-2693(96)01206-3
A.V. Belitsky, Xiangdong Ji, Feng Yuan, Quark imaging in the proton via quantum phase-space distributions Physical Review D. ,vol. 69, pp. 074014- ,(2004) , 10.1103/PHYSREVD.69.074014
David E Miller, None, Entropy for SU (3) c quark states European Physical Journal C. ,vol. 34, pp. 435- 437 ,(2004) , 10.1140/EPJC/S2004-01746-0
E. Iancu, A.H. Mueller, S. Munier, Universal behavior of QCD amplitudes at high energy from general tools of statistical physics Physics Letters B. ,vol. 606, pp. 342- 350 ,(2005) , 10.1016/J.PHYSLETB.2004.12.009
R.S. Bhalerao, Statistical model for the nucleon structure functions Physics Letters B. ,vol. 380, pp. 1- 6 ,(1996) , 10.1016/0370-2693(96)00516-3
Cédric Lorcé, Barbara Pasquini, Xiaonu Xiong, Feng Yuan, The quark orbital angular momentum from Wigner distributions and light-cone wave functions Physical Review D. ,vol. 85, pp. 114006- ,(2012) , 10.1103/PHYSREVD.85.114006
Yoshikazu Hagiwara, Yoshitaka Hatta, Use of the Husimi distribution for nucleon tomography Nuclear Physics. ,vol. 940, pp. 158- 166 ,(2015) , 10.1016/J.NUCLPHYSA.2015.04.005
Krzysztof Kutak, Gluon saturation and entropy production in proton–proton collisions Physics Letters B. ,vol. 705, pp. 217- 221 ,(2011) , 10.1016/J.PHYSLETB.2011.09.113