Gauge-invariant field-strength correlators for QCD in a magnetic background

TL;DR

This paper investigates how a magnetic background influences gauge-invariant correlators in QCD, revealing anisotropies and increased gluon condensate through lattice simulations.

Contribution

It provides the first exploratory lattice analysis of gauge-invariant correlators in QCD with a magnetic field, highlighting anisotropic effects and condensate growth.

Findings

Anisotropies emerge in correlators due to magnetic field.

Gluon condensate increases with magnetic field strength.

Lattice study confirms non-perturbative effects of magnetic backgrounds.

Abstract

We consider the properties of the gauge-invariant two-point correlation functions of the gauge-field strengths for QCD in the presence of a magnetic background field. We discuss the general structure of the correlators in this case and provide the results of an exploratory lattice study for $N_f = 2$ QCD discretized with unimproved staggered fermions. Our analysis provides evidence for the emergence of anisotropies in the non-perturbative part of the correlators and for an increase of the gluon condensate as a function of the external magnetic field.