Asymptotic freedom in strong magnetic fields
M. A. Andreichikov, V. D. Orlovsky, and Yu. A. Simonov
Accepted
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[`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[`q] loop contribution, similarly to the Coulomb case of QED, leading to approximately logarithmic damping of gluon exchange interaction (V O(1/ln|eB|)) at large magnetic field.