Pith Number

pith:HFFQV6EJ

pith:2026:HFFQV6EJPVZNGHC7I4Z6GJXUS7

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Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field

Mire Ugo, Schaefer Bernd-Jochen

Mesonic fluctuations beyond mean field substantially modify the phase structure of the two-flavor quark-meson-diquark model and allow diquark condensation to dominate at strong couplings.

arxiv:2605.13934 v1 · 2026-05-13 · hep-ph · hep-th · nucl-th

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Claims

C1strongest claim

Substantial modifications of the phase structure are found once mesonic fluctuations are included, and for sufficiently strong diquark couplings the dynamics become dominated by diquark condensation. These effects are elucidated through an analysis of the diquark pole mass and the Silver-Blaze property.

C2weakest assumption

The quark-meson-diquark model with the chosen FRG truncation accurately captures the relevant non-perturbative QCD dynamics at finite density, and that ensuring RG consistency of the effective potential fully eliminates cutoff artifacts.

C3one line summary

Including mesonic fluctuations beyond mean field substantially modifies the phase structure of the quark-meson-diquark model, with diquark condensation dominating for strong couplings as analyzed via diquark pole mass and the Silver-Blaze property.

References

113 extracted · 113 resolved · 45 Pith anchors

[1] (38) simplifies to ∂tUk(σ,∆) = k5 12π2 3 ϵπ + 1 ϵσ − 4Nf ϵq θ(ϵ− q ) + ϵ+ q E+q + ϵ− q E−q

[2] Quark-meson flows For ∆ = 0 and finite temperature, the quasi-particle energies reduce to E+ q →ϵ + q andE − q → |ϵ − q |.(44) Consequently, the flow converges to that of a quark- meson flow withN c =

[3] In principle, the corresponding RGC initial condition follows directly from the definition of the scale-dependent mean-field potential in Eq

[4] Mathematically, RG flows form a semi-group rather than a group: the coarse-graining from the UV to the IR is irreversible and no inverse trans- formation exists

[5] Back-bending of the chiral transition line in mLPA The characteristic back-bending of the chiral transi- tion line at decreasingT(Fig. 3, right panels) has also been observed in other low-energy effec

Formal links

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Receipt and verification

First computed	2026-05-17T23:39:13.946096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394b0af8897d72d31c5f4733e326f497c1c882dfae93258962ffcc22babf4088

Aliases

arxiv: 2605.13934 · arxiv_version: 2605.13934v1 · doi: 10.48550/arxiv.2605.13934 · pith_short_12: HFFQV6EJPVZN · pith_short_16: HFFQV6EJPVZNGHC7 · pith_short_8: HFFQV6EJ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HFFQV6EJPVZNGHC7I4Z6GJXUS7 \
  | 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: 394b0af8897d72d31c5f4733e326f497c1c882dfae93258962ffcc22babf4088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e57fd2fc712c6d870fa94b9d0ef12628e048c8a499d9f663968ed645e9ba03",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-13T16:12:38Z",
    "title_canon_sha256": "00dcea7e59ca2efbabe8a33cd0b3e771d7fe35fcaed084ce1d9f412706846b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13934",
    "kind": "arxiv",
    "version": 1
  }
}