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High Energy Physics - Theory

arXiv:1602.01962 (hep-th)
[Submitted on 5 Feb 2016 (v1), last revised 22 Feb 2016 (this version, v2)]

Title:The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multi-loop calculations

Authors:S. Teber, A. V. Kotikov
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Abstract:We review the method of uniqueness which is a powerful technique for multi-loop calculations in higher dimensional theories with conformal symmetry. We use the method in momentum space and show that it allows a very transparent evaluation of a two-loop massless propagator Feynman diagram with a non-integer index on the central line. The result is applied to the computation of the optical conductivity of graphene at the infra-red Lorentz invariant fixed point. The effect of counter-terms is analysed. A brief comparison with the non-relativistic case is included.
Comments: Prepared for the Vth International Conference "Models in Quantum Field Theory" dedicated to Prof. Aleksandr Nikolaevich Vasiliev. LaTeX file with feynMF package. 15 pages, 4 figures (v2) Minor modifications (some per referee's comments)
Subjects: High Energy Physics - Theory (hep-th); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1602.01962 [hep-th]
  (or arXiv:1602.01962v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1602.01962
Journal reference: Theoretical and Mathematical Physics 190, 446 (2017)
Related DOI: https://doi.org/10.1134/S004057791703014X

Submission history

From: Sofian Teber [view email]
[v1] Fri, 5 Feb 2016 09:33:05 UTC (90 KB)
[v2] Mon, 22 Feb 2016 10:07:23 UTC (90 KB)
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