Rotational stability of magnetic field in rotating quark-gluon plasma

In ultra relativistic heavy ion collisions, a large amount of magnetic field, that can reach as high as of the order of 10¹⁹ Gauss at LHC energies, is generated in conducting deconfied QGP medium in perpendicular to reaction plane due to the motion of incoming charged nuclei and spectator particles. Apart from this, a high vorticity that can go upto Ω ~ 10²¹-10²² Hz, is created inside the medium due to the initial orbital angular momentum. One of the issue is how the magnetic field relaxes in the highly vortical QGP medium.

In this talk, I try to address the relaxation of the magnetic field in rigidly rotating quark-gluon plasma is studied. It is shown that the infrared modes satisfying k<|m|Ω and k<|m±1|Ω, where integer m is the projection of the orbital angular momentum along the rotating axis and Ω is the angular velocity, are unstable. The instability onset time and the magnetic field growth rate are computed for a standard initial profile of the magnetic field. Given the present phenomenological values of Ω and electrical conductivity σ the instability is not expected to be a significant factor in the field's time evolution.