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March 12, 2026Open Access

Yang-Mills Existence and Mass Gap: Construction by Finite Local Dimension

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Key Points

To construct a 4D Yang-Mills quantum field theory with a strictly positive mass gap.
Theoretical framework development
Focus on compact simple gauge groups
Analysis of mass gap properties
Successfully constructed a 4D Yang-Mills quantum field theory
Demonstrated a strictly positive mass gap for any compact simple gauge group

Implication

Construction of a 4D quantum field theory with mass gap in Yang-Mills, indicating stable particle behavior.

Abstract

We construct a 4D Yang-Mills quantum field theory with a strictly positive mass gap for any compact simple gauge group G.

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Cite This Study

Khoa Nguyen (2026) studied this question.

synapsesocial.com/papers/69b4add218185d8a39801c23 https://doi.org/10.5281/zenodo.18916256

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