What question did this study set out to answer?

The research aims to establish the existence of a quantum Yang-Mills field theory and a positive mass gap on Euclidean space.

July 15, 2026Open Access

PROOF OF EXISTENCE AND MASS GAP FOR YANG-MILLS IN FOUR DIMENSIONAL SPACE-TIME. Probabilistic Construction via Quantum Coherence Principles, Wick Rotation to Minkowski, Causality, Entanglement and Coupling to Matter

View Full Paper

Ask AI

Bookmark

Authors

Randomized trial establishes quantum Yang-Mills theory existence and mass gap, suggesting strong theoretical foundations.

The research aims to establish the existence of a quantum Yang-Mills field theory and a positive mass gap on Euclidean space.
Established existence for any compact simple Lie group G with positive coupling g.
Proved uniqueness of the Euclidean measure and validity of Osterwalder-Schrader axioms.
Constructed the theory with fermionic and scalar matter, proving anomaly cancellation.
Demonstrated a strictly positive mass gap Δ > 0 and satisfaction of the Wightman axioms.
Proved entanglement in the vacuum state while forbidding superluminal signaling due to the mass gap.
Achieved precision predictions for the group SU(3) that match lattice simulations to better than 0.00005%.

Jean Florent Romaric GNAYORO (2026) studied this question.

View Full Paper

Ask AI

Bookmark