The method of uniqueness and the optical conductivity of graphene: New application of a powerful technique for multiloop calculations |
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| Authors: | S. Teber A. V. Kotikov |
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| Affiliation: | 1.Université Pierre et Marie Curie,Sorbonne Universités,Paris,France;2.Laboratoire de Physique Théorique et Hautes Energies, CNRS,Université Pierre et Marie Curie (Paris 6),Paris,France;3.Bogoliubov Laboratory of Theoretical Physics,Joint Institute for Nuclear Research,Dubna, Moscow Oblast,Russia |
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| Abstract: | 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. |
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