Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field

2009/05/13 by Sadooghi, Neda
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.0905.2097

Abstract

To study the effect of a strong magnetic field B on the sound velocity v_s of plane waves propagating in a strongly magnetized quark-gluon plasma (QGP), a chiral magnetohydrodynamical (MHD) description of a perfect (non-dissipative) QGP exhibiting dynamical chiral symmetry breaking (DχSB) is developed using the effective action of the Nambu-Jona-Lasinio (NJL) model of QCD at finite temperature, finite baryon chemical potential and in the presence of a strong magnetic field. Here, the DχSB arises due to the phenomenon of magnetic catalysis. Apart from an interesting frequency dependence, for plane waves propagating in the transverse or longitudinal direction with respect to the B field, the sound velocity is anisotropic and depends on the angle between the corresponding wave vectors and the direction of the B field. Moreover, for plane waves propagating in the transverse (longitudinal) direction to the external B field, the sound velocity has a maximum (minimum) at T

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