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

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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 190, Number 3, Pages 519–532
DOI: https://doi.org/10.4213/tmf9161 (Mi tmf9161)

This article is cited in 19 scientific papers (total in 19 papers)

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

S. Teber^ab, A. V. Kotikov^c

^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

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

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).

Received: 04.02.2016

English version:
Theoretical and Mathematical Physics, 2017, Volume 190, Issue 3, Pages 446–457
DOI: https://doi.org/10.1134/S004057791703014X

Bibliographic databases:

Document Type: Article

Language: Russian

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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https://doi.org/10.4213/tmf9161

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This publication is cited in the following 19 articles:

Anatoly V. Kotikov, “Effective Quantum Field Theory Methods for Calculating Feynman Integrals”, Symmetry, 16:1 (2023), 52
A. V. Kotikov, “Short Review of Interaction Effects in Graphene”, Phys. Part. Nuclei Lett., 20:5 (2023), 1108
R. F. Ozela, V. S. Alves, G. C. Magalhaes, L. O. Nascimento, “Effects of the pseudo-Chern-Simons action for strongly correlated electrons in a plane”, Phys. Rev. D, 105:5 (2022), 056004
A. V. Kotikov, “Some examples of calculation of massless and massive Feynman integrals”, Particles, 4:3 (2021), 361–380
Anatoly V. Kotikov, Texts & Monographs in Symbolic Computation, Anti-Differentiation and the Calculation of Feynman Amplitudes, 2021, 235
J. Baez Cuevas, A. Raya, J. C. Rojas, “Chiral symmetry restoration in reduced qed at finite temperature in the supercritical coupling regime”, Phys. Rev. D, 102:5 (2020), 056020
A. James, A. V. Kotikov, S. Teber, “Landau-khalatnikov-fradkin transformation of the fermion propagator in massless reduced qed”, Phys. Rev. D, 101:4 (2020), 045011
A. Avdoshkin, V. Kozii, J. E. Moore, “Interactions remove the quantization of the chiral photocurrent at Weyl points”, Phys. Rev. Lett., 124:19 (2020), 196603
Anatoly V. Kotikov, Sofian Teber, “Critical Behavior of (2 + 1)-Dimensional QED: 1/N Expansion”, Particles, 3:2 (2020), 345
Anatoly V. Kotikov, “About Calculation of Massless and Massive Feynman Integrals”, Particles, 3:2 (2020), 394
L. Di Pietro, D. Gaiotto, E. Lauria, J. Wu, “3d abelian gauge theories at the boundary”, J. High Energy Phys., 2019, no. 5, 091
A. V. Kotikov, S. Teber, “Multi-loop techniques for massless feynman diagram calculations”, Phys. Part. Nuclei, 50:1 (2019), 1–41
S. Teber, A. V. Kotikov, “Review of electron–electron interaction effects in planar Dirac liquids”, Theoret. and Math. Phys., 200:2 (2019), 1222–1236
G. Grignani, G. W. Semenoff, “Defect qed: dielectric without a dielectric, monopole without a monopole”, J. High Energy Phys., 2019, no. 11, 114
H.-t. Feng, Y.-h. Xia, H.-Zong, “Finite-volume effects on the chiral phase transition of thermal qed(3)”, Phys. Rev. D, 100:5 (2019), 054012
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
S. Teber, A. V. 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
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
Hsiao W.-H., Son D.T., “Duality and Universal Transport in Mixed-Dimension Electrodynamics”, Phys. Rev. B, 96:7 (2017), 075127

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

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