Dressed Wilson loops as dual condensates in response to magnetic and electric fields

TL;DR

This paper introduces dressed Wilson loops as a new confinement observable derived from chiral condensates in response to electromagnetic fields, validated on lattice configurations and consistent with traditional Wilson loops at large probe mass.

Contribution

It presents a novel confinement measure called dressed Wilson loops, linking chiral condensates and Wilson loops, with validation on dynamical lattice configurations.

Findings

Dressed Wilson loops decay with fixed area, serving as a confinement indicator.

Results agree with conventional Wilson loops at large probe mass.

Discusses renormalization aspects of dressed Wilson loops.

Abstract

We introduce dressed Wilson loops as a novel confinement observable. It consists of closed planar loops of arbitrary geometry but fixed area, and its expectation values decay with the latter. The construction of dressed Wilson loops is based on chiral condensates in response to magnetic and electric fields, thus linking different physical concepts. We present results for generalized condensates and dressed Wilson loops on dynamical lattice configurations and confirm the agreement with conventional Wilson loops in the limit of large probe mass. We comment on the renormalization of dressed Wilson loops.