Pith Number

pith:27WICSJY

pith:2026:27WICSJYCWKQUKYNJLGX3PHA4W

not attested not anchored not stored refs pending

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion

Qingjun Jin, Rijun Huang, Yi Li

The OPE algorithm computes the four-loop anomalous dimension of the fixed-charge operator in scalar QED.

arxiv:2604.13464 v2 · 2026-04-15 · hep-th · hep-ph

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\pithnumber{27WICSJYCWKQUKYNJLGX3PHA4W}

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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

Within the OPE framework, the anomalous dimension of the φ^Q operator is perturbatively computed to four-loop order in the modified minimal subtraction scheme, extending beyond the previously available three-loop result.

C2weakest assumption

The OPE algorithm previously used in pure scalar theories applies without new obstructions or additional counterterms when extended to scalar-QED at four loops.

C3one line summary

Four-loop anomalous dimension of φ^Q in scalar-QED computed via OPE, extending prior three-loop results and validating the method in a gauge theory.

Receipt and verification

First computed	2026-05-29T01:05:09.747215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ec81493815950a2b0d4acd7dbce0e5a4a26aa48314e3792958e51ca5fd01fa

Aliases

arxiv: 2604.13464 · arxiv_version: 2604.13464v2 · doi: 10.48550/arxiv.2604.13464 · pith_short_12: 27WICSJYCWKQ · pith_short_16: 27WICSJYCWKQUKYN · pith_short_8: 27WICSJY

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/27WICSJYCWKQUKYNJLGX3PHA4W \
  | 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: d7ec81493815950a2b0d4acd7dbce0e5a4a26aa48314e3792958e51ca5fd01fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b61645d1070771b40c0999102c90d866e18d61389ee2266d5895ceb81c60bdf",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-15T04:34:17Z",
    "title_canon_sha256": "044e09a5af0aaf8bd125b5dd1ea4a7ee9baeb9dae3a0bc21a3886fa8bb301bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.13464",
    "kind": "arxiv",
    "version": 2
  }
}