[
  {
    "id": "ARR-2026-0PJHG1P2B09S2SXM-v1",
    "type": "article",
    "title": "Zero-Momentum Propagator Bound in a Simplified Gribov-Zwanziger Lattice Measure",
    "author": [
      {
        "literal": "Lluis Eriksson"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2026,
          2,
          8
        ]
      ]
    },
    "publisher": "AIRR.SCIENCE",
    "archive": "AIRR.SCIENCE",
    "archive_location": "ARR-2026-0PJHG1P2B09S2SXM",
    "version": "v1",
    "genre": "Archived manuscript",
    "URL": "https://airr.science/papers/ARR-2026-0PJHG1P2B09S2SXM/versions/v1/",
    "note": "Archived manuscript; ARR-2026-0PJHG1P2B09S2SXM v1. Not peer reviewed by AIRR. Historical import; not assessed by AIRR.",
    "abstract": "This replacement corrects the title and headline scope while preserving public version 2 in full. For the simplified quadratic Gribov-Zwanziger lattice measure defined in the manuscript, the zero-momentum propagator obeys the stated volume-uniform bound and its thermodynamic-limit value is computed. Finiteness of D(0) is only the necessary condition identified in Definition 4: it does not by itself prove exponential clustering, a transfer-operator spectral gap, a mass gap for the simplified measure, or a mass gap for Wilson Yang-Mills theory. The former title's phrases \"Mass Gap\" and \"A Non-Perturbative Proof\" are withdrawn. No continuum-limit or Clay-problem conclusion is claimed."
  }
]