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Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance

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arxiv 2306.16145 v2 pith:AGWVZ63I submitted 2023-06-28 hep-th hep-phnucl-th

classification hep-thhep-phnucl-th
keywords entanglemententropyhadronconformaldescriptionhadronspartonrapidity
verification ladder T0 review T1 audit T2 compute T3 formal
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When a hadron is probed at high energy, a nontrivial quantum entanglement entropy inside the hadron emerges due to the lack of complete information about the hadron wave function extracted from this measurement. In the high-energy limit, the hadron becomes a maximally entangled state, with a linear dependence of entanglement entropy on rapidity, as has been found in a recent analysis based on parton description. In this paper, we use an effective conformal field theoretic description of hadrons on the light cone to show that the linear dependence of the entanglement entropy on rapidity found in parton description is a general consequence of approximate conformal invariance and does not depend on the assumption of weak coupling. Our result also provides further evidence for a duality between the parton and string descriptions of hadrons.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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.

  2. Deep inelastic scattering as a probe of entanglement: the complete QCD dipole cascade

    hep-ph 2026-07 conditional novelty 6.0 of 10

    The Shannon entropy of dipole multiplicities from the full Levin–Lublinsky equation in DIS reproduces the H1 hadron entropy, growing linearly with ln(1/x) and described by S = ln(2/3⟨n⟩) + 0.85.

  3. Momentum-projected hadron entanglement from lattice-QCD replica correlators

    hep-ph 2026-03 conditional novelty 6.0 of 10

    The vacuum-subtracted Rényi response of a momentum-projected hadron equals 1/(1-n) times the log of a replicated source-sink correlator on the cut geometry divided by the n-th power of the ordinary correlator.

  4. Small $x$ behavior in QCD from maximal entanglement and conformal invariance

    hep-ph 2025-08 conditional novelty 4.0 of 10

    Bethe Ansatz finite-size corrections to Lipatov's spin chain yield c=1, which fixes the small-x gluon scaling to x^{-1/3}.

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