Description
This work provides a rigorous Hilbert space construction of four-dimensional Yang–Mills theory, verifies the Osterwalder–Schrader axioms in the regulated setting, and proves the existence of a strictly positive mass gap. The main result is the spectral characterization of the Hamiltonian:\mathrm{Spec}(H_{YM}) = {0} \cup [\Delta,\infty), \quad \Delta > 0 . This resolves the Clay Millennium Problem on Yang–Mills existence and mass gap.
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Publication Details
Subfield
Artificial Intelligence
Field
Computer Science
Domain
Physical Sciences
Confidence Score
69%
Source
Open Alex
Keywords
\keywords{Yang--Mills theory, Mass gap, Quantum field theory, Osterwalder--Schrader axioms, Hilbert space, Gauge invariance, Non-abelian gauge theory, Spectral theory}