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- W2006402334 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 $1/N$ expansion. The existence of a threshold value ${N}_{mathrm{thr}},$ dividing the theories with essentially different dynamics, is established. For the number of flavors $Nensuremath{ll}{N}_{mathrm{thr}},$ the dynamical mass is very sensitive to the value of the coupling constant ${ensuremath{alpha}}_{b},$ related to the magnetic scale $ensuremath{mu}=sqrt{|mathrm{eB}|}.$ For N of the order of ${N}_{mathrm{thr}}$ or larger, a dynamics similar to that in the Nambu--Jona-Lasinio model with a cutoff of the order of $sqrt{|mathrm{eB}|}$ and the dimensional coupling constant $Gensuremath{sim}1/(N|mathrm{eB}|)$ takes place. In this case, the value of the dynamical mass is essentially ${ensuremath{alpha}}_{b}$ independent (the dynamics with an infrared stable fixed point). The value of ${N}_{mathrm{thr}}$ separates a weak coupling dynamics (with ${stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{alpha}}}_{b}ensuremath{equiv}N{ensuremath{alpha}}_{b}ensuremath{ll}1)$ from a strong coupling one (with ${stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{alpha}}}_{b}ensuremath{gtrsim}1)$ and is of the order of $1/{ensuremath{alpha}}_{b}.$" @default.
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- W2006402334 modified "2023-09-23" @default.
- W2006402334 title "Large<i>N</i>dynamics in QED in a magnetic field" @default.
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- W2006402334 doi "https://doi.org/10.1103/physrevd.67.107703" @default.
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