Holographic equilibration in confining gauge theories under external magnetic fields

Abstract

We investigate the effect of external magnetic fields on equilibration in the improved holographic QCD theory in the deconfined phase using the AdS/CFT correspondence. In particular we calculate the quasinormal mode spectra in the corresponding black brane solutions and study their dependence on temperature, momentum and magnetic field, both in the scalar and the shear channels. We find complex patterns in the motion of quasinormal modes on the complex plane, including certain cross overs between the lowest lying modes under varying magnetic field, momentum and temperature. We also discover a critical value of the magnetic field $B_c$ above which the hydrodynamic approximation breaks down, as the imaginary part of the first excited quasi-normal mode in the shear channel becomes smaller than that of the hydro mode.

20 pages, 13 figures. v2: discussion on the instability we reported in the first version is corrected. v3: range of B in figures increased, discussion on the breakdown of hydrodynamics added, abstract and references updated

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• Chiral transport in strong fields from holography
• Quasinormal modes and thermalization in Improved Holographic QCD
• New purely damped pairs of quasinormal modes in a hot and dense strongly-coupled plasma