Dressed Wilson loops as dual condensates in response to magnetic fields

TL;DR

This paper introduces dressed Wilson loops as a new confinement observable derived from chiral condensates in magnetic fields, validated through lattice simulations and showing agreement with traditional Wilson loops at large probe mass.

Contribution

It presents a novel method to define confinement observables using dressed Wilson loops based on chiral condensates, linking different physical concepts.

Findings

Dressed Wilson loops decay with fixed area as expected.

Agreement with conventional Wilson loops at large probe mass.

Results obtained on dynamical lattice configurations.

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.