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Chern-Simons diffusion rate in strongly coupled N=4 SYM plasma in an external magnetic field

Gökçe Başar1 and Dmitri E. Kharzeev1,2

  • 1Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA
  • 2Department of Physics, Brookhaven National Laboratory, Upton, New York 11973, USA

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Phys. Rev. D 85, 086012 – Published 26 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.086012

Abstract

We calculate the Chern-Simons diffusion rate in a strongly coupled N=4 super Yang-Mills plasma in the presence of a constant external U(1)R magnetic flux via the holographic correspondence. Because of the strong interactions between the charged fields and non-Abelian gauge fields, the external Abelian magnetic field affects the thermal Yang-Mills dynamics and increases the diffusion rate, regardless of its strength. We obtain the analytic results for the Chern-Simons diffusion rate both in the weak and strong magnetic field limits. In the latter limit, we show that the diffusion rate scales as B×T2 and this can be understood as a result of a dynamical dimensional reduction.

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Phys. Rev. D 85, 086012– Published 26 April, 2012
  • Received 15 February 2012
Article part of CHORUS

© 2012 American Physical Society

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