Asymptotic freedom in strong magnetic field

TL;DR

This paper investigates how strong magnetic fields affect quark interactions in QCD, revealing that loop corrections soften the magnetic collapse and lead to a logarithmic decrease in gluon exchange strength.

Contribution

It provides a one-loop correction analysis showing the softening of magnetic collapse in QCD due to quark-antiquark loop contributions, refining previous perturbative predictions.

Findings

Loop corrections significantly reduce the magnetic collapse effect.

Gluon exchange interaction decreases logarithmically at high magnetic fields.

Magnetic field effects on QCD interactions are less severe than previously thought.

Abstract

Perturbative gluon exchange interaction between quark and antiquark, or in a 3q system, is enhanced in magnetic field and may cause vanishing of the total q\bar q or 3q mass, and even unlimited decrease of it - recently called the magnetic collapse of QCD. The analysis of the one-loop correction below shows a considerable softening of this phenomenon due to q\bar q loop contribution, similarly to the Coulomb case of QED, leading to approximately logarithmic dumping of gluon exchange interaction at large magnetic field.