{"paper":{"title":"Batalin-Fradkin-Vilkovisky Quantization of Quadratic Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Batalin-Fradkin-Vilkovisky quantization applies consistently to quadratic gravity and reproduces the Stelle mass spectrum with a different distribution among fields.","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Byron Droguett, Claudio B\\'orquez, Jorge Bellorin","submitted_at":"2025-11-19T14:30:19Z","abstract_excerpt":"We present the Batalin-Fradkin-Vilkovisky quantization of the quadratic gravity theory, which is the most general theory with terms up to quadratic order in curvature. This approach of quantization is based on the Hamiltonian formulation. In this sense, this study contributes to the consistency of the quantum formulation of the theory. With this scheme of quantization we may introduce a broad class of additional conditions on the field variables, by including Lagrange multipliers and time derivatives. We find that a mandatory condition for the validity of the Hamiltonian formulation, previousl"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"A mandatory condition for the validity of the Hamiltonian formulation, previously known from classical analysis, can be incorporated consistently in this quantization.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Batalin-Fradkin-Vilkovisky quantization applies consistently to quadratic gravity and reproduces the Stelle mass spectrum with a different distribution among fields.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9fb61794f1872b4dd639d7e16af3ed1957d997579e1c1fd720edc09f2303bc88"},"source":{"id":"2511.15474","kind":"arxiv","version":2},"verdict":{"id":"966754df-5a2c-4c1d-a72a-b5e11bd2e006","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T20:53:51.450473Z","strongest_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.","one_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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"A mandatory condition for the validity of the Hamiltonian formulation, previously known from classical analysis, can be incorporated consistently in this quantization.","pith_extraction_headline":"Batalin-Fradkin-Vilkovisky quantization applies consistently to quadratic gravity and reproduces the Stelle mass spectrum with a different distribution among fields."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.15474/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}