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

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.

Published version. Added table with perturbative parameters values. 8 pages, 5 figures

References in corpus (8)

• QCD Phase Transition in a Strong Magnetic Background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• Heavy quarkonia in strong magnetic fields
• Topological charge using cooling and the gradient flow
• Susceptibility of the QCD vacuum to CP-odd electromagnetic background fields
• Quark deconfinement and gluon condensate in a weak magnetic field
• Confinement and ${\alpha }_s$ in a strong magnetic field

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• Effects of a strong magnetic field on the QCD flux tube
• Magnetic field dependence of nucleon parameters from QCD sum rules
• Overview of external electromagnetism and rotation in lattice QCD
• Nucleon axial-vector coupling constant in magnetar environments
• Dense Quark-Gluon Plasma in strong magnetic fields
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Magnetized quark-gluon plasma at the LHC
• Non-perturbative suppression of Chiral Effects in hot QGP for $\Lambda /\bar{\Lambda }$-hyperons spin polarization in heavy-ion collisions