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Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultrarelativistic limit of graphene

A. V. Kotikov1 and S. Teber2,3

  • 1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 2Sorbonne Universités, UPMC Université Paris 06, UMR 7589, LPTHE, F-75005 Paris, France
  • 3CNRS, UMR 7589, LPTHE, F-75005 Paris, France

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Phys. Rev. D 89, 065038 – Published 28 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.065038

Abstract

We compute the two-loop fermion self-energy in massless reduced quantum electrodynamics for an arbitrary gauge using the method of integration by parts. Focusing on the limit where the photon field is four-dimensional, our formula involves only recursively one-loop integrals and can therefore be evaluated exactly. From this formula, we deduce the anomalous scaling dimension of the fermion field as well as the renormalized fermion propagator up to two loops. The results are then applied to the ultrarelativistic limit of graphene and compared with similar results obtained for four-dimensional and three-dimensional quantum electrodynamics.

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See Also

Electromagnetic current correlations in reduced quantum electrodynamics

S. Teber
Phys. Rev. D 86, 025005 (2012)

Two-loop fermion self-energy and propagator in reduced QED3,2

S. Teber
Phys. Rev. D 89, 067702 (2014)

Article Text

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Phys. Rev. D 89, 065038– Published 28 March, 2014
  • Received 9 December 2013

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