Quasi-local Update Algorithms for Numerical Simulations of d=3 SU(2) LGT in the Dual Formulation

TL;DR

This paper introduces two quasi-local update algorithms for 3D SU(2) lattice gauge theory in the dual formulation, enhancing ergodicity when combined with existing local updates.

Contribution

The paper presents novel quasi-local algorithms that, together with local updates, improve ergodicity in dual formulations of SU(2) lattice gauge theory.

Findings

The quasi-local algorithms are effective in achieving ergodicity.

Combined algorithms respect triangle inequalities automatically.

Enhanced sampling of configuration space in 3D SU(2) LGT.

Abstract

In the dual formulation of d=3 SU(2) LGT, the link variables are group representations and valid configurations are those satisfying a number of triangle inequalities. In \cite{lat99} algorithms for local updates that automatically respect these constraints were described. It was also pointed out there that these local updates were not ergodic. In this presentation, we describe two different quasi-local updating algorithms which, in conjunction with the local updates, appear to be ergodic.