The method of uniqueness and the optical conductivity of graphene: New application of a powerful technique for multiloop calculations

S. Teber   ; A. V. Kotikov

Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 3, pp. 519-532

Résumé

We briefly review the uniqueness method, which is a powerful technique for calculating multiloop Feynman diagrams in theories with conformal symmetries. We use the method in the momentum space and show its effectiveness in calculating a two-loop massless propagator Feynman diagram with a noninteger index on the central line. We use the obtained result to compute the optical conductivity of graphene at the infrared Lorentz-invariant fixed point. We analyze the effect of counterterms and compare with the nonrelativistic limit.

Détail

Keywords: Feynman diagram, uniqueness, optical conductivity.
Mots-clés : multiloop calculations, graphene

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