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

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

A. V. Kotikov , V. I. Shilin , S. Teber This is my paper · ORCID
classification hep-thcond-mat.mes-hall
keywords fermiongaugecriticaldimensionaldynamicallandauleadingmass
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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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  1. Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED

    hep-lat 2019-08 conditional novelty 7.0 of 10

    Monte Carlo measurement gives monopole scaling dimension Delta(12)=3.24(24), consistent with large-N theory, and positive finite-N corrections for N=2,4 that disagree in sign with the leading 1/N expansion.

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