Pith Number

pith:3COB2OGQ

pith:2026:3COB2OGQI7CLCFBXKLIPPMDS4P

not attested not anchored not stored refs pending

$\rho$ mesons in finite magnetic field and finite temperature

Guoyun Shao, Min Zhou, Rui Zhou, Shijun Mao, Yvming Tian, Zhiyang Liu

Rho mesons acquire multiple mass solutions in magnetic fields because their constituent quarks undergo dimension reduction.

arxiv:2605.00561 v2 · 2026-05-01 · nucl-th · hep-th

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\pithnumber{3COB2OGQI7CLCFBXKLIPPMDS4P}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

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

When solving the pole equation of ρ meson propagators, multiple solutions of the meson mass appear due to the dimension reduction of their constituent quarks in magnetic fields. ... These results are consistent with the available LQCD simulations.

C2weakest assumption

The two-flavor NJL model with its standard regularization and mean-field treatment remains quantitatively reliable for rho mesons once external magnetic fields quantize the quark spectrum and temperature is introduced.

C3one line summary

In the NJL model, rho meson masses for different charge and spin states increase or decrease with magnetic field at zero temperature, decrease with temperature at fixed B, approach constituent quark masses at high T, and exhibit degeneracies under combined finite B and T.

Cited by

1 paper in Pith

Charged pseudoscalar mesons in a strong magnetic field under the Weinberg model

Receipt and verification

First computed	2026-07-01T01:17:51.427930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d89c1d38d047c4b1143752d0f7b072e3cf8ee0af59945ba742ba98bfa6ce8163

Aliases

arxiv: 2605.00561 · arxiv_version: 2605.00561v2 · doi: 10.48550/arxiv.2605.00561 · pith_short_12: 3COB2OGQI7CL · pith_short_16: 3COB2OGQI7CLCFBX · pith_short_8: 3COB2OGQ

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/3COB2OGQI7CLCFBXKLIPPMDS4P \
  | 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: d89c1d38d047c4b1143752d0f7b072e3cf8ee0af59945ba742ba98bfa6ce8163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f2f9b7ae2430bdd68e0a13d7a7dddd71f897e321afb7a6b6f0549ed5df6a4e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2026-05-01T10:59:08Z",
    "title_canon_sha256": "cecb34446294fe0f00a0327b02d27f6bdac6406aac4515eb34fcf166370f145e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00561",
    "kind": "arxiv",
    "version": 2
  }
}