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.
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