Two-loop fermion self-energy and propagator in reduced QED${}_{3,2}$

Abstract

We compute the two-loop fermion self-energy in massless reduced quantum electrodynamics (RQED) for an arbitrary gauge in the case where the photon field is three-dimensional and the fermion field two-dimensional: super-renormalizable RQED${}_{3,2}$ with $N_F$ fermions. We find that the theory is infrared finite at two-loop and that finite corrections to the fermion propagator have a remarkably simple form.

arXiv comment(v2) Accepted for publication in PRD. Minor change in title per editor's comment. No change in results. 4+epsilon pages, 2 figures. (v1) LaTeX file with feynMF package. 4+epsilon pages, 2 figures

References in corpus (9)

• Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
• Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
• The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams
• Electromagnetic current correlations in reduced quantum electrodynamics
• The massless two-loop two-point function
• On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large $N$ Expansions of Critical Exponents
• Note on an application of the method of uniqueness to reduced quantum electrodynamics
• Massless two-loop self-energy diagram: Historical review
• Compact analytical form for non-zeta terms in critical exponents at order 1/N^3

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