Confining Bond Rearrangement in the Random Center Vortex Model

TL;DR

This paper investigates how static meson and baryon potentials behave in Z(2) and Z(3) center vortex models, revealing bond rearrangement phenomena consistent with minimal area law and comparing results with lattice QCD.

Contribution

It introduces calculations of static potentials in center vortex models and demonstrates bond rearrangement, aligning with theoretical and lattice QCD results.

Findings

Potentials follow the minimal area law.

Bond rearrangement behavior observed.

Results agree with lattice QCD simulations.

Abstract

We present static meson-meson and baryon--anti-baryon potentials in Z(2) and Z(3) random center vortex models for the infrared sector of Yang-Mills theory, i.e., hypercubic lattice models of random vortex world-surfaces. In particular, we calculate Polyakov loop correlators of two static mesons resp. (anti-)baryons in a center vortex background and observe that their expectation values follow the minimal area law and show bond rearrangement behavior. The static meson-meson and baryon--anti-baryon potentials are compared with theoretical predictions and lattice QCD simulations.