Pith Number

pith:NMQ5DS4X

pith:2025:NMQ5DS4XHFZI4446HX5OUD4JC5

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Batalin-Fradkin-Vilkovisky Quantization of Quadratic Gravity

Byron Droguett, Claudio B\'orquez, Jorge Bellorin

Batalin-Fradkin-Vilkovisky quantization applies consistently to quadratic gravity and reproduces the Stelle mass spectrum with a different distribution among fields.

arxiv:2511.15474 v2 · 2025-11-19 · hep-th · gr-qc

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Claims

C1strongest claim

We present the Batalin-Fradkin-Vilkovisky quantization of the quadratic gravity theory... We obtain the propagators of the fields, including the propagators associated with the quantum states of negative norm. The spectrum of masses coincides with the results of Stelle, but distributed on a different way among the fields.

C2weakest assumption

A mandatory condition for the validity of the Hamiltonian formulation, previously known from classical analysis, can be incorporated consistently in this quantization.

C3one line summary

BFV quantization of quadratic gravity produces propagators for fields with negative norms and a mass spectrum matching Stelle's results but distributed differently among the fields.

Cited by

1 paper in Pith

Scattering amplitudes in Quadratic Graivty in a general formalism

Receipt and verification

First computed	2026-05-29T01:04:58.433494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b21d1cb9739728e739e3dfaea0f891751a23a37a27ef8588942c5a22042478c

Aliases

arxiv: 2511.15474 · arxiv_version: 2511.15474v2 · doi: 10.48550/arxiv.2511.15474 · pith_short_12: NMQ5DS4XHFZI · pith_short_16: NMQ5DS4XHFZI4446 · pith_short_8: NMQ5DS4X

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NMQ5DS4XHFZI4446HX5OUD4JC5 \
  | 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: 6b21d1cb9739728e739e3dfaea0f891751a23a37a27ef8588942c5a22042478c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "420f39f8bfa84c7e2ec567a83f04b2c25fbbb7fceef3cce727318d9daf291f89",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-11-19T14:30:19Z",
    "title_canon_sha256": "9db35c80d7d0d39b06c0e1470a20d07067f51d68306542f4d9e8cb5fa558c43a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.15474",
    "kind": "arxiv",
    "version": 2
  }
}