Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-23
Phys.Rev.D54:7879-7883,1996
Physics
High Energy Physics
High Energy Physics - Theory
11pages, latex
Scientific paper
10.1103/PhysRevD.54.7879
We perform the renormalization group analysis on the dynamical symmetry breaking under strong external magnetic field, studied recently by Gusynin, Miransky and Shovkovy. We find that any attractive four-Fermi interaction becomes strong in the low energy, thus leading to dynamical symmetry breaking. When the four-Fermi interaction is absent, the $\beta$-function for the electromagnetic coupling vanishes in the leading order in $1/N$. By solving the Schwinger-Dyson equation for the fermion propagator, we show that in $1/N$ expansion, for any electromagnetic coupling, dynamical symmetry breaking occurs due to the presence of Landau energy gap by the external magnetic field.
Hong Deog Ki
Kim Yup
Sin Sang Jin
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