## Abstract

The expression for the dynamical mass of fermions in QED in a magnetic field is obtained for a large number of the fermion flavor N in the framework of [Formula Presented] expansion. The existence of a threshold value [Formula Presented] dividing the theories with essentially different dynamics, is established. For the number of flavors [Formula Presented] the dynamical mass is very sensitive to the value of the coupling constant [Formula Presented] related to the magnetic scale [Formula Presented] For N of the order of [Formula Presented] or larger, a dynamics similar to that in the Nambu–Jona-Lasinio model with a cutoff of the order of [Formula Presented] and the dimensional coupling constant [Formula Presented] takes place. In this case, the value of the dynamical mass is essentially [Formula Presented] independent (the dynamics with an infrared stable fixed point). The value of [Formula Presented] separates a weak coupling dynamics (with [Formula Presented] from a strong coupling one (with [Formula Presented] and is of the order of [Formula Presented].

Original language | English (US) |
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Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 67 |

Issue number | 10 |

DOIs | |

State | Published - 2003 |

Externally published | Yes |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)