Son-Yamamoto relation and holographic renormalization group flows

O. Dubinkin, A. Gorsky, and A. Milekhin
Phys. Rev. D 91, 066007 – Published 23 March 2015

Abstract

Motivated by the Son-Yamamoto (SY) relation, which connects the three-point and two-point correlators, we consider the holographic renormalization group (RG) flows in the bottom-up approach to holographic QCD via the Hamilton-Jacobi equation with respect to the radial coordinate. It is shown that the SY relation is diagonal with respect to the RG flow in the 5D Yang-Mills-Chern-Simons model, while the RG equation acquires an inhomogeneous term in the model with an additional scalar field, which encodes the chiral condensate.

  • Received 20 December 2014

DOI:https://doi.org/10.1103/PhysRevD.91.066007

© 2015 American Physical Society

Authors & Affiliations

O. Dubinkin2,3,*, A. Gorsky1,2,†, and A. Milekhin1,2,3,‡

  • 1Institute for Information Transmission Problems, Bolshoi Karetnyi 19, Moscow 127051, Russia
  • 2Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia
  • 3Institute for Theoretical and Experimental Physics, Bolshaya Cheryomushkinskaya 25, Moscow 117218, Russia

  • *dubinkin@itep.ru
  • gorsky@itep.ru
  • milekhin@itep.ru

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Issue

Vol. 91, Iss. 6 — 15 March 2015

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