Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?

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Recently, it was found in QED that the generation of a dynamical electron mass in a strong magnetic field is significantly enhanced by the perturbative electron mass. In the present paper, the related question of a possible enhancement of the dynamical quark mass in an external magnetic field and with a bare mass term is investigated in the Nambu--Jona-Lasinio model.
4 pages; Revtex4; new references added; version accepted for publication in Phys. Lett. B

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