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

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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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Author information

Authors and Affiliations

  1. Université Pierre et Marie Curie, Sorbonne Universités, Paris, France

    S. Teber

  2. Laboratoire de Physique Théorique et Hautes Energies, CNRS, Université Pierre et Marie Curie (Paris 6), Paris, France

    S. Teber

  3. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    A. V. Kotikov

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  1. S. Teber
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Correspondence to S. Teber.

Additional information

The research of A. V. Kotikov was supported by the Russian Foundation for Basic Research (Grant No. 16-02-00790_a).

[The original English version of this paper presented at the conference and submitted to the journal is available at https://arxiv.org/abs/1602.01962.]

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 190, No. 3, pp. 519–532, March, 2017.

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Teber, S., Kotikov, A.V. The method of uniqueness and the optical conductivity of graphene: New application of a powerful technique for multiloop calculations. Theor Math Phys 190, 446–457 (2017). https://doi.org/10.1134/S004057791703014X

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