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More on the tensor response of the QCD vacuum to an external magnetic field

A. Gorsky1, P. N. Kopnin1,2, A. Krikun1, and A. Vainshtein3

  • 1Theory Department, ITEP, Moscow, Russia
  • 2MIPT, Dolgoprudny, Russia
  • 3William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA

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Phys. Rev. D 85, 086006 – Published 23 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.086006

Abstract

In this paper we discuss a few issues concerning the magnetic susceptibility of the quark condensate and the Son-Yamamoto anomaly matching equation. It is shown that the Son-Yamamoto relation in the IR implies a nontrivial interplay between the kinetic and Wess-Zumino-Witten terms in the chiral Lagrangian. It is also demonstrated that in a holographic framework an external magnetic field triggers mixing between scalar and tensor fields. Accounting for this, one may calculate the magnetic susceptibility of the quark condensate to all orders in the magnetic field.

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Phys. Rev. D 85, 086006– Published 23 April, 2012
  • Received 27 January 2012
Article part of CHORUS

© 2012 American Physical Society

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