Anomaly matching condition in two-dimensional systems

O. Dubinkin, A. Gorsky, and E. Gubankova
Phys. Rev. D 94, 085023 – Published 24 October 2016

Abstract

Based on the Son-Yamamoto relation obtained for the transverse part of the triangle axial anomaly in QCD4, we derive its analog in a two-dimensional system. It connects the transverse part of the mixed vector-axial current two-point function with the diagonal vector and axial current two-point functions. Being fully nonperturbative, this relation may be regarded as anomaly matching for conductivities or certain transport coefficients depending on the system. We consider the holographic renormalization group flows in holographic Yang-Mills-Chern-Simons theory via the Hamilton-Jacobi equation with respect to the radial coordinate. Within this holographic model, it is found that the renormalization group flows for the following relations are diagonal: the Son-Yamamoto relation and the left-right polarization operator. Thus, the Son-Yamamoto relation holds at a wide range of energy scales.

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  • Received 11 February 2016

DOI:https://doi.org/10.1103/PhysRevD.94.085023

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

O. Dubinkin1,2, A. Gorsky3,4, and E. Gubankova1,2

  • 1Institute for Theoretical and Experimental Physics, B. Cheryomushkinskaya 25, Moscow 117218, Russia
  • 2Skolkovo Institute of Science and Technology, Skolkovo Innovation Center, Moscow 143026, Russia
  • 3Institute for Information Transmission Problems of Russian Academy of Science, B.Karetnyi 19, Moscow 127051, Russia
  • 4Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia

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Issue

Vol. 94, Iss. 8 — 15 October 2016

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