This record contains the research data and manuscript for the Zsa-G Spectral Coercivity framework. This project addresses the fundamental issue of mass extraction in non-perturbative Yang-Mills gauge theories by implementing a novel dynamical stabilization mechanism in Langevin simulations. Key advancements presented in this work: Dynamical Spectral Control: Direct suppression of near-flat Hessian modes via a coercivity term during stochastic evolution, transforming mass plateaus from fragile artifacts into robust physical observables. Topological Integrity: Quantitative demonstration that the Zsa-G framework mitigates topological freezing, enabling reliable sampling in the continuum limit (a ->). Formal Convergence Proof: Derivation of a volume-independent Log-Sobolev constant (p » 0. 15), confirming spectral gap stability under the Bakry–Émery criterion. Benchmarking: Empirical evidence that Zsa-G reduces integrated autocorrelation times (T₈₍ₓ) compared to standard Hybrid Monte Carlo (HMC) methods, significantly enhancing computational efficiency. Universality: Validation of mass stability across SU (3), SU (4), and SU (5) gauge groups. This dataset provides the foundation for high-precision lattice spectroscopy and serves as a benchmark for exploring the non-perturbative vacuum structure of SU (N) theories.
Zsa Zsa Gersina (Tue,) studied this question.