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TMF, 2017, Volume 190, Number 3, Pages 519–532 (Mi tmf9161)  

This article is cited in 4 scientific papers (total in 4 papers)

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

S. Teberab, A. V. Kotikovc

a Université Pierre et Marie Curie, Sorbonne Universités, Paris, France
b Laboratoire de Physique Théorique et Hautes Énergies, CNRS, Université Pierre et Marie Curie (Paris 6), Paris, France
c Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

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.

Keywords: Feynman diagram, multiloop calculations, uniqueness, graphene, optical conductivity

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


DOI: https://doi.org/10.4213/tmf9161

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English version:
Theoretical and Mathematical Physics, 2017, 190:3, 446–457

Bibliographic databases:

Document Type: Article
Received: 04.02.2016

Citation: S. Teber, A. V. Kotikov, “The method of uniqueness and the optical conductivity of graphene: New application of a powerful technique for multiloop calculations”, TMF, 190:3 (2017), 519–532; Theoret. and Math. Phys., 190:3 (2017), 446–457

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Hsiao W.-H., Son D.T., “Duality and Universal Transport in Mixed-Dimension Electrodynamics”, Phys. Rev. B, 96:7 (2017), 075127  crossref  isi  scopus
    2. A. V. Kotikov, S. Teber, “New results for a two-loop massless propagator-type Feynman diagram”, Theoret. and Math. Phys., 194:2 (2018), 284–294  mathnet  crossref  crossref  adsnasa  isi  elib
    3. S. Teber, V A. Kotikov, “Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultrarelativistic limit of Dirac liquids”, Phys. Rev. D, 97:7 (2018), 074004  crossref  isi  scopus
    4. S. Teber, A. V. Kotikov, “Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene”, J. High Energy Phys., 2018, no. 7, 082  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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