Entropy from entangled parton states and high-energy scattering behavior

Abstract

The relation between the gluon density in a hadron and entanglement entropy can shed a new light on the high energy scattering behavior of hadrons. Using the holographic light-front QCD framework the growth above the classical geometric cross section is directly related to the increase of the internal quantum entropy from the entangled parton distribution in hadrons. A rather consistent picture emerges from the scale dependence of the Pomeron from the QCD evolution of the gluon distribution function $g(x,\mu )$, the rising of the integrated cross section in photoproduction of vector mesons, the deep inelastic scattering (DIS) experiments at HERA, hadron multiplicity and quantum entropy. We also point out a possible analogy between parton entanglement entropy and the black-hole entropy of Bekenstein and Hawking.

arXiv comment17 pages, 4 figures, updated references

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Cited by in corpus (4)

• QCD evolution of entanglement entropy
• Quantum entanglement between partons in a strongly coupled quantum field theory
• Entanglement, Trace Anomaly and Confinement in QCD
• Evolution of entropy at small $x$