Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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. 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
Full-text PDF (611 kB) Citations (19)
References:
PDF
HTML
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
Citation in format AMSBIB
\Bibitem{TebKot17}
\by S.~Teber, A.~V.~Kotikov
\paper The~method of uniqueness and the~optical conductivity of graphene: New application of a~powerful technique for multiloop calculations
\jour TMF
\yr 2017
\vol 190
\issue 3
\pages 519--532
\mathnet{http://mi.mathnet.ru/tmf9161}
\crossref{https://doi.org/10.4213/tmf9161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3629100}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017TMP...190..446T}
\elib{https://elibrary.ru/item.asp?id=28405222}
\transl
\jour Theoret. and Math. Phys.
\yr 2017
\vol 190
\issue 3
\pages 446--457
\crossref{https://doi.org/10.1134/S004057791703014X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000399022100014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016760724}
Linking options:
  • https://www.mathnet.ru/eng/tmf9161
  • https://doi.org/10.4213/tmf9161
  • https://www.mathnet.ru/eng/tmf/v190/i3/p519
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:398
    Full-text PDF :127
    References:51
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024