Large N dynamics in QED in a magnetic field

V. P. Gusynin, V. A. Miransky, I. A. Shovkovy

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


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 languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
StatePublished - 2003
Externally publishedYes

ASJC Scopus subject areas

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


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