{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"bf6f1d2d307b2930243a58232a5f6a774727e900ef54170800a78d31e730a12a","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"296222fa016939dd832385e602d502a9e6f0a2e5ecd11acbf596e4c9e7a1a0ee","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"qft.lattice-chiral.nonabelian-regularization","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"A grid version exists for chiral theories with the simplest, electromagnetism-like forces. For the non-commuting forces of the Standard Model it is still missing.","posed_since":"1981","precise":"For a 4D anomaly-free chiral gauge theory with nonabelian gauge group (for example SU(5) with 5bar + 10, or one Standard Model generation), construct a lattice regularization with exact gauge invariance at finite lattice spacing, a local action and fermion measure, and the correct continuum limit, extending Luscher's 1999 abelian construction based on Ginsparg-Wilson fermions beyond perturbation theory.","problem_ref":null,"references":"","settled_by":"An explicit construction with a nonperturbative proof of the locality and gauge invariance of the fermion measure for a nonabelian anomaly-free theory.","status_note":"The abelian case was completed in 1999 and the nonabelian case to all orders of perturbation theory in 2000; new proposals in 2024-2026 use domain walls with gauge-field flow and symmetry disentanglers.","title":"Gauge-invariant lattice definition of nonabelian chiral gauge theories","topic_ref":"09ed7291202cda0c86cff8febcdba3ed8961ebf386095385e584e73ce001693a"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"cbd271cec7c21a0cb3e9eeed22a85920d0cee4f5c6b520c3e77d409ed6bb03d9","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"b5f4421b53b28d133adcfb392a240f415ff96f0ff9050f0f805bd19dead24dda","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"SdnjfZ2OGd7r2CdLisEqjg6U_Q6SopoknqMX49WqflWsswtLz70drJ84ZXc-iMiL4olOtoWvdVjpwwc0Z6sLCw"},"schema":"pubphys.envelope/1"},"record_hash":"cbd271cec7c21a0cb3e9eeed22a85920d0cee4f5c6b520c3e77d409ed6bb03d9","leaf_index":1919}