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This work aims to address mass gap extraction challenges in non-perturbative Yang–Mills theories.

April 26, 2026Open Access

Active Spectral Coercivity: A Gauge-Invariant Framework for Mass Gap Extraction in Yang–Mills Theory

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This work aims to address mass gap extraction challenges in non-perturbative Yang–Mills theories.
Introduced the Zsa-G framework for stabilizing stochastic quantization.
Applied Bakry–Émery controlled Langevin dynamics for spectral control.
Tested on SU(2) to SU(5) gauge groups to ensure reliable mass gap extraction.
Achieved significant reduction in topological freezing effects.
Maintained stable mass plateaus with a log-Sobolev constant (p ≈ 0.15).
Confirmed the Wilson loop area law and linear confinement across tested gauge groups.

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Randomized trial evaluates mass gap extraction in SU(N) gauge theories, suggesting a novel stabilization approach.

Zsa Zsa Gersina (2026) studied this question.

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