Rigidity and percolation of center vortices

TL;DR

This paper investigates the geometric and dynamic properties of center vortices in SU(2) lattice gauge theory, revealing their rigidity and complex behavior driven by curvature effects, which explains vortex percolation.

Contribution

It provides a detailed analysis of the rigidity and dynamics of center vortices, highlighting the role of curvature-dependent effects in their behavior.

Findings

Center vortices are rigid structures.

Their dynamics involve nonstandard scaling dimensions.

Curvature effects largely determine vortex properties.

Abstract

Effective action of center vortices in SU(2) lattice gauge theory is investigated by studying the correlation between the action density on their worldsheets and their geometric properties. It turns out that center vortices are rigid, however, their dynamics is more complicated than that of rigid random surfaces, since some coupling constants have nonstandard scaling dimensions. As a result, the properties of center vortices are almost completely determined by curvature-dependent effects. This, in turn, provides a qualitative explanation of vortex percolation.