Nonlinear Constraints from Non-Abelian Internal Symmetries

TL;DR

This paper derives explicit global constraints ensuring microscopic interactions in many-body systems respect non-Abelian internal symmetries, linking local symmetry invariance to macroscopic conditions.

Contribution

It provides explicit forms of global constraints for systems with non-Abelian symmetries, connecting microscopic evolution to macroscopic symmetry preservation.

Findings

Derived explicit global constraints for non-Abelian symmetries.

Linked microscopic symmetry invariance to macroscopic conditions.

Ensured evolution respects overall symmetry at the system level.

Abstract

Symmetry invariant local interaction of a many body system leads to global constraints. We obtain explicit forms of the global macroscopic condition assuring that at the microscopic level the evolution respects the overall symmetry.