Geodesic
The~method of uniqueness and the~optical conductivity of graphene: New application of a~powerful technique for multiloop calculations
Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 3, pp. 519-532

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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.
Keywords: Feynman diagram, uniqueness, optical conductivity.
Mots-clés : multiloop calculations, graphene 
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     author = {S. Teber and A. V. Kotikov},
     title = {The~method of uniqueness and the~optical conductivity of graphene: {New} application of a~powerful technique for multiloop calculations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {190},
     number = {3},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a12/}
}
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S. Teber; A. V. Kotikov. The~method of uniqueness and the~optical conductivity of graphene: New application of a~powerful technique for multiloop calculations. Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 3, pp. 519-532. http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a12/