Classical and quantum entropy of parton distributions

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Abstract

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.

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Hagiwara, Y., Hatta, Y., Xiao, B. W., & Yuan, F. (2018). Classical and quantum entropy of parton distributions. Physical Review D, 97(9). https://doi.org/10.1103/PhysRevD.97.094029

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