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Evaluation of Entanglement Entropy in High Energy Elastic Scattering

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arxiv 1906.09696 v2 pith:JTG7WYM2 submitted 2019-06-24 hep-th hep-ph

Robi Peschanski , Shigenori Seki This is my paper · ORCID
classification hep-thhep-ph
keywords entanglementcollisionselasticenergiesenergyentropyevenhigh
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Entanglement of the two scattered particles is expected to occur in elastic collisions, even at high energy where they are in competition with inelastic ones. We study how to evaluate quantitatively the corresponding entanglement entropy $S_{\rm EE}.$ For this sake, we regularize the divergences occurring in the formal derivation of $S_{\rm EE}$ using a regularization procedure acting on the two-particle Hilbert space of final states. A quantitative application is performed in proton-proton collisions at collider energies, comparing the results of $S_{\rm EE}$ with two different cut-offs and with a volume-regularization obtained by a prescription fixing the finite two-body Hilbert space volume. A significant entanglement is found which persists even at the highest available energies.

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Cited by 3 Pith papers

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  1. Flavor--Kinetic Entanglement Production from Decay and Scattering at Finite Density

    hep-ph 2026-08 conditional novelty 6.0 of 10

    At finite density, the leading flavor-kinetic entanglement entropy equals twice the occupation-weighted branch-changing collision probability, and this quantity is used to diagnose first-order versus continuous therma...

  2. Quantum entanglement within quarkonium

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Quark-antiquark entanglement entropy in quarkonium is derived from light-front wave functions, reduces to the Shannon entropy of TMDs, and shows strong polarization dependence for spin-1 mesons.

  3. Unitarity constrains the quantum information metrics for particle interactions

    hep-th 2024-12 reject novelty 3.0 of 10

    The paper rederives standard optical-theorem and partial-wave cross-section formulas, plus a Shannon and differential entropy decomposition for inclusive scattering, by regulating divergent volume and time factors wit...

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