{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"e539cdce23796fe130c0ae3945b41da440e7c21aa8fa79150d4815d5a6a09838","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","550395cea74fb01dfce230e366c9f67c7f9cbc13c2b86a9676013f21bccc2bc2"],"salt":"0b8f044319a464ce20d81d08344db6bd2adb0e893caa0a55a1874af23deb59e5","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.resurgence.adler-transseries","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"550395cea74fb01dfce230e366c9f67c7f9cbc13c2b86a9676013f21bccc2bc2","relation":"special_case"}],"plain":"QCD predictions combine a divergent power series with small corrections from vacuum condensates. Whether this combination, properly resummed, is complete and unambiguous is unknown.","posed_since":"","precise":"For the Adler function $D(Q^2)$ of massless QCD, determine whether the perturbative series in $\\alpha_s(Q^2)$ together with OPE power corrections (condensates such as $\\langle \\alpha_s G^2\\rangle/Q^4$) forms a resurgent transseries whose median resummation equals the exact function, with each condensate uniquely defined once the summation prescription is fixed.","problem_ref":null,"references":"","settled_by":"A proof in QCD or a controlled large-$N_{f}$ or lattice comparison showing the resummed transseries equals $D(Q^{2})$, or a counterexample term not captured by the OPE.","status_note":"","title":"Does QCD perturbation theory plus condensates resum to the exact answer","topic_ref":"88aaaf6de44f69e9ea9e8b5c7e7832ec7f2fa0d6edca48ad49c04f5b96cbb185"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"9e82d2f0fb998c260c694e4c35621636cdbf9b6150f077fbb38200003a59d1bd","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"4a175f4f3a3594fce46067b4105684c75cb9b13339a66be49f0d150fc88bbfd4","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"W_vkhduJQUJuyOprGU4gf1-w20fOWxAfqBOUHrXyObqm9Ip2baFyGVCpDVGBvHuLY1uj-G7mvVmRkq25MaLsAg"},"schema":"pubphys.envelope/1"},"record_hash":"9e82d2f0fb998c260c694e4c35621636cdbf9b6150f077fbb38200003a59d1bd","leaf_index":1940}