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arxiv: 1605.01911 · v2 · pith:PUBPNXOJnew · submitted 2016-05-06 · ✦ hep-th · cond-mat.mes-hall

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

classification ✦ hep-th cond-mat.mes-hall
keywords fermiongaugecriticaldimensionaldynamicallandauleadingmass
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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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