{"paper":{"title":"Exact SU(2) Yang-Mills Waves from a Simple Ansatz","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves.","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Jing-Ling Chen, Yu-Xuan Zhang","submitted_at":"2026-05-06T14:24:43Z","abstract_excerpt":"We propose a simple ansatz that reduces the sourceless SU(2) Yang--Mills equations in (3+1) dimensions to nine algebraic constraints. Solving these constraints yields three closed-form families of exact wave solutions. \\textbf{Family I} embeds linear electromagnetic waves into the non-Abelian theory, with vanishing commutators and dispersion \\(\\omega = kc\\). \\textbf{Family II} describes genuinely nonlinear self-interacting waves that also propagate at the speed of light but exhibit a constant, gauge-invariant offset in the color-electric field, nonvanishing commutators, and a discrete topologi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Owing to this ansatz, the nonlinear field equations reduce to nine algebraic constraints, whose complete solution yields three families of exact waves.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The chosen y-dependent rotated Pauli basis together with the single-phase dependence θ = kz − ωt is sufficient to capture the relevant exact solutions without missing essential non-Abelian structure or introducing hidden constraints.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A y-dependent rotated Pauli ansatz reduces SU(2) Yang-Mills to algebraic constraints that admit three families of exact waves: Abelian-like linear waves, nonlinear waves with constant color-electric offset, and pure-gauge solutions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"8ee3b0dcb72906a93b06ddcda8eac70e3f83e1a0484f7a63a633dc86cde728c0"},"source":{"id":"2605.04964","kind":"arxiv","version":2},"verdict":{"id":"c99cc62d-9aea-44dc-8bb8-29dad2c8d532","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T16:27:37.653465Z","strongest_claim":"Owing to this ansatz, the nonlinear field equations reduce to nine algebraic constraints, whose complete solution yields three families of exact waves.","one_line_summary":"A y-dependent rotated Pauli ansatz reduces SU(2) Yang-Mills to algebraic constraints that admit three families of exact waves: Abelian-like linear waves, nonlinear waves with constant color-electric offset, and pure-gauge solutions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The chosen y-dependent rotated Pauli basis together with the single-phase dependence θ = kz − ωt is sufficient to capture the relevant exact solutions without missing essential non-Abelian structure or introducing hidden constraints.","pith_extraction_headline":"A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.04964/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T10:39:48.809731Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T21:31:19.914492Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T13:59:35.019483Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"7a268cc2e345b5992573be2a6060c3045e22158a726a1906286eef5bf94a82ac"},"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"}