Macroconstraints from Microsymmetries

TL;DR

This paper derives explicit global conditions ensuring that the microscopic evolution of many-body systems with nonabelian local symmetries respects overall symmetry constraints, linking microscopic dynamics to macroscopic symmetry preservation.

Contribution

It provides explicit forms of the global macroscopic conditions that guarantee microscopic evolution respects nonabelian local symmetry constraints.

Findings

Derived explicit global symmetry conditions.

Linked microscopic dynamics to macroscopic symmetry constraints.

Ensured symmetry preservation in many-body evolution.

Abstract

The dynamics governing the evolution of a many body system is constrained by a nonabelian local symmetry. We obtain explicit forms of the global macroscopic condition assuring that at the microscopic level the evolution respects the overall symmetry constraint.