Pith Number

pith:FG5VQIUZ

pith:2025:FG5VQIUZA2MBFXSWJS4VPKIIC6

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QCD Wehrl and entanglement entropies in a gluon spectator model at small-$x$

Gabriel Rabelo-Soares, Gabriel S. Ramos, Giorgio Torrieri, Reinaldo Francener

In a small-x gluon spectator model, the Wehrl entropy from the Husimi distribution decomposes into an entanglement entropy term plus a transverse residual term, with numerical values matching CMS proton data.

arxiv:2512.24855 v2 · 2025-12-31 · hep-ph · nucl-th

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

From a normalized Husimi distribution one can decompose the Wehrl entropy into an entanglement entropy term and a residual term associated with transverse degrees of freedom. Numerical results for the proton entanglement entropy are shown and compared with CMS data.

C2weakest assumption

The Husimi distribution is obtained via Gaussian smearing of the Wigner distribution with width given by the saturation scale in the GBW model, and the underlying wave functions are taken from the soft-wall AdS/QCD-inspired spectator model whose parameters are constrained by NNPDF fits.

C3one line summary

In a gluon spectator model at small x, the normalized Husimi distribution yields a Wehrl entropy that decomposes into an entanglement entropy term matching CMS data and a transverse residual term.

References

57 extracted · 57 resolved · 18 Pith anchors

[1] The solid blue line and the blue shadow represents the NNPDF 4.0 at NN LO data set for the unpolarized gluon PDF and its uncertainty band with 1 σ , respectively 2024

[2] D. E. Kharzeev and E. M. Levin, Physical Review D 95, 114008 (2017) 2017

[3] Z. Tu, D. E. Kharzeev, and T. Ullrich, Physical review let ters 124, 062001 (2020) 2020

[4] D. E. Kharzeev and E. Levin, Physical Review D 104, L031503 (2021) 2021

[5] M. Hentschinski and K. Kutak, The European Physical Jour nal C 82, 111 (2022) 2022

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-28T02:04:44.982255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29bb582299069812de564cb957a9081792bcdc2b5b7d7913b49043fff0b1cfa6

Aliases

arxiv: 2512.24855 · arxiv_version: 2512.24855v2 · doi: 10.48550/arxiv.2512.24855 · pith_short_12: FG5VQIUZA2MB · pith_short_16: FG5VQIUZA2MBFXSW · pith_short_8: FG5VQIUZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FG5VQIUZA2MBFXSWJS4VPKIIC6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 29bb582299069812de564cb957a9081792bcdc2b5b7d7913b49043fff0b1cfa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0991b8d4f47aed2419f754ea88545f69d4418a3532ca227ae29ae74b7d8f5fc",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-12-31T13:25:55Z",
    "title_canon_sha256": "f29718910824a09b2237075107a2d0cf99544430658619b2f7c375b695623379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.24855",
    "kind": "arxiv",
    "version": 2
  }
}