Research paperHistorical importARR-2026-0PJHG1P2B09S2SXM · v1 · 2026-02-08

Zero-Momentum Propagator Bound in a Simplified Gribov-Zwanziger Lattice Measure

Lluis Eriksson

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 The former title's phrases "Mass Gap" and "A Non-Perturbative Proof" are withdrawn.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.

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