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

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.

arXiv comment(v2) Accepted for publication in PRD. Some references added. No change in results. 6 pages, 2 figures. (v1) LaTeX file with feynMF package. 6 pages, 2 figures

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Cited by in corpus (21)

• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Bootstrapping $N_f=4$ conformal QED${}_3$
• Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED
• Critical behaviour of reduced QED${}_{4,3}$ and dynamical fermion gap generation in graphene
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• QED${}_3$ with quenched disorder: quantum critical states with interactions and disorder
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Two dimensional metallic phases from disordered QED${}_3$
• Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
• Fermion bilinear operator critical exponents at $O(1/N^2)$ in the QED-Gross-Neveu universality class
• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• Conformality and self-duality of $N_f=2$ QED${}_3$
• Addendum to "Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge"
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Chiral symmetry restoration in RQED at finite temperature in the supercritical coupling regime
• Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
• On operator mixing in fermionic CFTs in non-integer dimensions
• Non-perturbative field theoretical aspects of graphene and related systems
• New results for a two-loop massless propagator-type Feynman diagram
• $\mathcal{N}=1$ supersymmetric three-dimensional QED in the large-$N_f$ limit and applications to super-graphene
• Critical number of fermions in three-dimensional QED