Enabling Cross-Silo Innovation for the Clay Yang-Mills Millennium Problem: A Public Specification Resolving Ambiguity in the QFT Dialect

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Authors: J.P. Charlton Jr.
Cited by: 0

Abstract

The Clay Mathematics Institute Yang-Mills millennium problem statement (CMI-YM) is written in the specialized dialect of constructive quantum field theory (CQFT). Following the methodology of the CPNS-DSL, we identify that this dialect carries binding semantics through tacit defaults regarding the regularity of gauge fields and the nature of the vacuum spectrum. We propose a minimal semantics layer ΛYM to make these intended bindings explicit, mapping them directly to the page and line numbers of the official Jaffe-Witten specification. This ensures that crossdisciplinary contributions are judged against a stable logical protocol.

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
15 February 2026
Language
EN
Document type
Preprint