Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene

  • S. TeberEmail author
  • A. V. Kotikov
Open Access
Regular Article - Theoretical Physics


The two-loop interaction correction coefficient to the universal ac conductivity of disorder-free intrinsic graphene is computed with the help of a field theoretic renormalization study using the Bogoliubov-Parasiuk-Hepp-Zimmermann prescription. Non-standard Ward identities imply that divergent subgraphs (related to Fermi velocity renormalization) contribute to the renormalized optical conductivity. Proceeding either via densitydensity or via current-current correlation functions, a single well-defined value is obtained: \( \mathcal{C}=\left.\left(19-6\pi \right)/12\right)=0.01 \) in agreement with the result first obtained by Mishchenko and which is compatible with experimental uncertainties.


Field Theories in Lower Dimensions Renormalization Regularization and Renormalons 


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© The Author(s) 2018

Authors and Affiliations

  1. 1.Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHEParisFrance
  2. 2.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussia

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