Note on an application of the method of uniqueness to reduced quantum electrodynamics

Abstract

Using the method of uniqueness a two-loop massless propagator Feynman diagram with a non-integer index on the central line is evaluated in a very transparent way. The result is applied to the computation of the two-loop polarization operator in reduced quantum electrodynamics.

(v2) 4 pages, 2 figures; references added, footnote added before Eq.(20), other minor modifications, no change in results; to appear in PRD (v1) LaTeX file with feynMF package. 4 pages, no figure

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Cited by in corpus (22)

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• 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 the Landau gauge
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• Two-loop fermion self-energy and propagator in reduced QED${}_{3,2}$
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multi-loop calculations
• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• Graphene transparency in weak magnetic fields
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Addendum to "Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge"
• Chiral symmetry restoration in RQED at finite temperature in the supercritical coupling regime
• Defect QED: Dielectric without a Dielectric, Monopole without a Monopole
• New results for a two-loop massless propagator-type Feynman diagram
• Critical properties of three-dimensional many-flavour QEDs
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation
• $\mathcal{N}=1$ supersymmetric three-dimensional QED in the large-$N_f$ limit and applications to super-graphene
• Fermionic quantum gas at finite temperature within a Lorentz violating background