Mathematical Physics

    

Proof of the Yang—Mills Mass Gap via Energy Minimization

Authors: Lautaro Fesembeck

We prove the existence of a mass gap in pure Yang—Mills theory by applying energy minimization methods. By defining a disturbance field associated with the field strength tensor and constructing a global energy functional, we demonstrate that any nontrivial excitation away from the flat connection induces strictly positive energy. Through analysis of local perturbations, gauge invariance, and functional coercivity, we establish the existence of a positive lower bound on excitation energies, thus rigorously proving the Yang—Mills mass gap.

Comments: 7 pages, English. Feedback - lautaro.math@gmail.com

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[v1] 2025-04-28 23:11:50

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