The Zsa-G Framework: Active Spectral Control for High-Precision Mass Gap Extraction in SU (N) Gauge TheoriesReducing Topological Freezing - through Bakry–Émery Controlled Langevin Dynamics This repository contains the manuscript and supporting data for the Zsa-G Framework, a novel approach to stabilizing stochastic quantization in non-perturbative Yang–Mills theories. The Zsa-G framework introduces Active Spectral Control to resolve the long-standing problem of mass plateau instabilities and topological freezing in lattice simulations. By leveraging Bakry–Émery theory and spectral coercivity, the framework ensures a volume-independent Log-Sobolev constant (p » 0. 15), allowing for reliable mass gap extraction even as simulations approach the continuum limit (a ->0) Key features included in this work: Spectral stabilization of Langevin dynamics for SU (2) through SU (5) gauge groups. Elimination of spurious plateaus and high-frequency stochastic noise. Significant reduction in integrated autocorrelation times (T₈₍ₓ). Verification of the Wilson loop area law and linear confinement. This framework provides a robust foundation for high-precision spectroscopy in gauge theories and offers a scalable solution for large-N limits.
Zsa Zsa Gersina (Fri,) studied this question.