TY - JOUR

T1 - Large N dynamics in QED in a magnetic field

AU - Gusynin, V. P.

AU - Miransky, V. A.

AU - Shovkovy, I. A.

N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2003

Y1 - 2003

N2 - 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].

AB - 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].

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U2 - 10.1103/PhysRevD.67.107703

DO - 10.1103/PhysRevD.67.107703

M3 - Article

AN - SCOPUS:0038310277

VL - 67

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 10

ER -