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Critical behaviour of ($2+1$)-dimensional QED: 1/N_f-corrections in the Landau gauge (1605.01911v2)

Published 6 May 2016 in hep-th and cond-mat.mes-hall

Abstract: The dynamical generation of a fermion mass is studied within ($2+1$)-dimensional QED with $N$ four-component fermions in the leading and next-to-leading orders of the 1/N expansion. The analysis is carried out in the Landau gauge which is supposed to insure the gauge independence of the critical fermion flavour number, N_c. It is found that the dynamical fermion mass appears for N<N_c where N_c=3.29, that is only about $1\%$ larger than its value at leading order.

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