Reinaldo M. Silva-Filho

A Geometric and Metric-Measure Framework for the Yang–Mills Mass Gap

This paper proves no mass gap. Its main result is a conditional theorem, and the existence of a mass gap in four-dimensional Yang–Mills theory remains open. The conditional theorem assumes two things: 1. the ground-state measures of regularized Yang–Mills Hamiltonians on the Grib...

The Yang-Mills Mass Gap Trilogy: A Geometric and Metric-Measure Framework

Abstract & Theoretical Summary: We develop an exact, non-perturbative geometric and metric-measure framework for four-dimensional pure quantum Yang-Mills theory with compact simple gauge group G=SU(N)G=SU(N) formulated on the fundamental Gribov modular region Ω⊂A/GΩ⊂A/G. Drawing...

A Geometric and Metric-Measure Framework for the Yang-Mills Mass Gap, Gribov-Zwanziger Horizon Regularization, and Confinement on Gauge Orbit Varieties

### A Geometric and Metric-Measure Framework for the Yang-Mills Mass Gap, Gribov-Zwanziger Horizon Regularization, and Confinement on Gauge Orbit Varieties **Author:** Reinaldo M. Silva-Filho **Affiliation:** Programa de Pós-Graduação em Estatística e Experimentação Agropecuária...

A Geometric and Metric-Measure Framework for the Yang-Mills Mass Gap, Gribov-Zwanziger Horizon Regularization, and Confinement on Gauge Orbit Varieties

### A Geometric and Metric-Measure Framework for the Yang-Mills Mass Gap, Gribov-Zwanziger Horizon Regularization, and Confinement on Gauge Orbit Varieties **Author:** Reinaldo M. Silva-Filho **Affiliation:** PPGEEAA/DES, Universidade Federal de Lavras (UFLA), Lavras, MG, Brazil...