Axiomatic Construction of Nonperturbative Quantum Yang–Mills Theory with Mass Gap for SU(2)
Year: 2025
Type: article
Abstract: We construct a mathematically rigorous, nonperturbative quantum Yang–Mills theory for the compact simple Lie group SU(2) over ℝ⁴. The model is built from a self-adjoint recursive curvature operator acting on a Gaussian-weighted Sobolev space, yielding a discrete spectrum with strictly positive lowest eigenvalue. All Wightman and Osterwalder–Schrader axioms are satisfied. Analytic continuation to Minkowski space and numerical spectral validation confirm the existence of a mass gap, resolving the Clay Millennium Problem for SU(2).
Author: Disney-Leugers, Gregory
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6912193263
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