On correlations in high-energy hadronic processes and the CMS ridge: A manifestation of quantum entanglement?

Abstract

We discuss the possibility of quantum entanglement for pairs of charged particles produced in high-energy $pp$-collisions at the LHC. Using a framework of interacting Wilson lines, we calculate 2-D and 1-D two-particle angular correlation functions in terms of the differences of the pseudorapidities and azimuthal angles of the produced particles. The calculated near-side angular correlation shows a localized maximum around $\Delta \varphi \approx 0$, though it is less pronounced compared to the peak observed by the CMS Collaboration. We argue that this soft correlation is universal and insensitive to the specific properties of the matter (quark-gluon plasma, QCD vacuum, etc.) used to describe hadronic states---though such properties can be included to further improve the results.

v1: 4 pages, 1 figure (eps file embedded in text); v2: 9 pages, 6 eps figures, significantly revised and extended, new results on 2-D and 1-D correlations presented, references updated and added; v3: matches the version accepted for publication in Int. J. Mod. Phys. A; v4: minor corrections, matches the final version in Int. J. Mod. Phys. A

References in corpus (14)

• 14-qubit entanglement: creation and coherence
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• The ridge in proton-proton collisions at the LHC
• k_T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions
• The "Ridge" in Proton-Proton Scattering at 7 TeV
• Angular Correlations in Gluon Production at High Energy
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• What exactly is a parton density?
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
• Non-universality of transverse momentum dependent parton distribution functions
• Cluster properties from two-particle angular correlations in p+p collisions at $\sqrt{s}$ = 200 and 410 GeV
• Comparing the same-side "ridge" in CMS p-p angular correlations to RHIC p-p data
• Soft ridge in proton-proton collisions

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• CMS ridge effect at LHC as a manifestation of bremstralung of gluons due to the quark-anti-quark string formation
• On a Wilson lines approach to the study of jet quenching