The Recommended Dissolution of the Yang-Mills Mass Gap Problem

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Authors: James Carl Ayoub
Cited by: 0

Abstract

The Yang-Mills mass gap problem asks for a mathematical proof that the lowest non-zero energy state of a Yang-Mills quantum field sits strictly above zero. The Clay Mathematics Institute has offered $1,000,000 for this proof. Mathematics is serious. This question is not. This paper demonstrates that the question should be retired, not solved. The answer is axiomatic, not a proof derived from axioms.

Fields of Study & Subjects

Quantum Chromodynamics and Particle Interactions Particle physics theoretical and experimental studies Quantum and Classical Electrodynamics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
9 March 2026
Language
EN
Document type
Preprint