Confinement and center vortex dynamics in different gauge groups

TL;DR

This paper extends the vortex world-surface model to SU(4) and Sp(2) gauge groups, revealing new dynamical features like monopole dependence and stickiness effects that influence confinement and phase transition behaviors.

Contribution

It introduces a generalized vortex model for SU(4) and Sp(2), incorporating monopole configurations and stickiness effects, advancing understanding of gauge group-specific confinement mechanisms.

Findings

SU(4) vortex action depends on Abelian magnetic monopoles

Sp(2) vortex action includes a stickiness term for phase transition

Model reproduces first-order deconfinement transition in Sp(2)

Abstract

The random vortex world-surface model is extended to the gauge groups SU(4) and Sp(2). Compared to the SU(2) and SU(3) models studied previously, which reproduce the infrared properties of the corresponding Yang-Mills theories on the basis of a simple vortex world-surface curvature action, new dynamical characteristics become important. In the SU(4) case, an explicit dependence of the vortex effective action on the configuration of the Abelian magnetic monopoles residing on the vortices emerges; in the Sp(2) case, a new "stickiness" contribution to the vortex action serves to drive the deconfinement phase transition towards the correct first-order behavior.