Pith Number

pith:IZ2W4TLK

pith:2026:IZ2W4TLKT3IXQ7UY7F6VCJPUVQ

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Landau-Khalatnikov-Fradkin Transformations in Reduced Quantum Electrodynamics: Perturbative and Nonperturbative Dynamics of the Fermion Propagator

Adnan Bashir, Anam Ashraf, Dania Rodr\'iguez-Tzintzun, Faisal Akram, Luis Albino, M. Jamil Aslam

The Landau-Khalatnikov-Fradkin transformations show that the chiral fermion condensate and pole mass are gauge-invariant in reduced quantum electrodynamics.

arxiv:2605.14122 v1 · 2026-05-13 · hep-th · hep-ph

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\usepackage{pith}
\pithnumber{IZ2W4TLKT3IXQ7UY7F6VCJPUVQ}

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Claims

C1strongest claim

Through numerical computation, we demonstrate that both the chiral fermion condensate and the fermion pole mass are gauge-invariant quantities.

C2weakest assumption

The assumption that the Landau-Khalatnikov-Fradkin transformation derived in standard QED applies without modification to the reduced quantum electrodynamics case, including for the nonperturbative mass function.

C3one line summary

LKF transformations give all-order gauge-transformed fermion propagators in RQED, with ξ=1/3 eliminating one-loop leading logs and numerical checks confirming gauge-invariant condensate and pole mass.

References

55 extracted · 55 resolved · 27 Pith anchors

[1] The re- sulting wavefunction renormalization and mass functions for several values of the gauge parameterξare shown in Fig

[2] Aoyama et al., Phys 2020

[3] Colangeloet al., (2022), arXiv:2203.15810 [hep-ph] 2022

[4] The anomalous magnetic moment of the muon in the Standard Model: an update 2025 · arXiv:2505.21476

[5] I. G. Aznauryanet al., Int. J. Mod. Phys. E22, 1330015 (2013), arXiv:1212.4891 [nucl-th] 2013

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:39:11.886567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46756e4d6a9ed1787e98f97d5125f4ac33294ab0ae7253a4542cc3384e3bf085

Aliases

arxiv: 2605.14122 · arxiv_version: 2605.14122v1 · doi: 10.48550/arxiv.2605.14122 · pith_short_12: IZ2W4TLKT3IX · pith_short_16: IZ2W4TLKT3IXQ7UY · pith_short_8: IZ2W4TLK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IZ2W4TLKT3IXQ7UY7F6VCJPUVQ \
  | 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: 46756e4d6a9ed1787e98f97d5125f4ac33294ab0ae7253a4542cc3384e3bf085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51950b179b221bbf7acb290322ff7db147a40f0cc340e44c77d0b4b4caf8e92",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T21:17:27Z",
    "title_canon_sha256": "0bec8e5218f357d5f5c60636b00d965b6d1d29a0033a94379509ff80c76ad26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14122",
    "kind": "arxiv",
    "version": 1
  }
}