On the critical behavior of (2+1)-dimensional QED

Abstract

It is shown the analysis [1] for QED in 2+1 dimensions with N four-component fermions in the leading and next-to-leading orders of the 1/N expansion. As it was demonstrated in [1] the range of the admissible values N, where the dynamical fermion mass exist, decreases strongly with the increasing of the gauge charge. So, in Landau gauge the dynamical chiral symmetry breaking appears for N<3.78, that is very close to the results of the leading order and in Feynman gauge dynamical mass is completely absent.

5 pages, presented on the 6th International Workshop on Critical Point and Onset of Deconfinement, 23 - 29 August 2010, Dubna, Russia

References in corpus (2)

• The electronic properties of graphene
• Gap generation and semimetal-insulator phase transition in graphene

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• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• Addendum to "Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge"
• Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
• Critical properties of three-dimensional many-flavour QEDs
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation