TY - JOUR

T1 - High energy QCD

T2 - Multiplicity distribution and entanglement entropy

AU - Gotsman, E.

AU - Levin, E.

N1 - Publisher Copyright:
© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

PY - 2020/10

Y1 - 2020/10

N2 - In this paper, we show that QCD at high energies leads to the multiplicity distribution (σn/σin)=(1/N) (N-1/N)n-1 (where N denotes the average number of particles) and to entanglement entropy S=lnN, confirming that the partonic state at high energy is maximally entangled. However, the value of N depends on the kinematics of the parton cascade. In particular, for deep inelastic scattering, N=xG(x,Q), where xG is the gluon structure function, while for hadron-hadron collisions, N∝QS2(Y), where Qs denotes the saturation scale. We checked that this multiplicity distribution describes the LHC data for low multiplicities n<(3÷5)N, exceeding it for larger values of n. We view this as a consequence of our assumption that the system of partons in hadron-hadron collisions at c.m. rapidity Y=0, is dilute. We show that the data can be described at large multiplicities in the parton model, if we do not make this assumption.

AB - In this paper, we show that QCD at high energies leads to the multiplicity distribution (σn/σin)=(1/N) (N-1/N)n-1 (where N denotes the average number of particles) and to entanglement entropy S=lnN, confirming that the partonic state at high energy is maximally entangled. However, the value of N depends on the kinematics of the parton cascade. In particular, for deep inelastic scattering, N=xG(x,Q), where xG is the gluon structure function, while for hadron-hadron collisions, N∝QS2(Y), where Qs denotes the saturation scale. We checked that this multiplicity distribution describes the LHC data for low multiplicities n<(3÷5)N, exceeding it for larger values of n. We view this as a consequence of our assumption that the system of partons in hadron-hadron collisions at c.m. rapidity Y=0, is dilute. We show that the data can be described at large multiplicities in the parton model, if we do not make this assumption.

UR - http://www.scopus.com/inward/record.url?scp=85093123678&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.102.074008

DO - 10.1103/PhysRevD.102.074008

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AN - SCOPUS:85093123678

SN - 2470-0010

VL - 102

JO - Physical Review D

JF - Physical Review D

IS - 7

M1 - 074008

ER -