Center Vortices, Area Law and the Catenary Solution

TL;DR

This paper investigates meson-meson Wilson loop correlators in Z(2) center vortex models, demonstrating area law behavior, string breaking, and analyzing minimal surface indications in the infrared sector of Yang-Mills theory.

Contribution

It introduces specific vortex models for the infrared Yang-Mills sector and analyzes Wilson loop correlators and catenary solutions within these models.

Findings

Wilson loop correlators follow the area law.

Evidence of string breaking behavior.

Analysis of minimal surface and string tension indications.

Abstract

We present meson-meson (Wilson loop) correlators in Z(2) center vortex models for the infrared sector of Yang-Mills theory, i.e., a hypercubic lattice model of random vortex surfaces and a continuous 2+1 dimensional model of random vortex lines. In particular we calculate quadratic and circular Wilson loop correlators in the two models respectively and observe that their expectation values follow the area law and show string breaking behavior. Further we calculate the catenary solution for the two cases and try to find indications for minimal surface behavior or string surface tension leading to string constriction.