Rotational stability of magnetic field in rotating quark-gluon plasma

Abstract

Relaxation of the magnetic field in rigidly rotating quark-gluon plasma is studied. It is shown that the infrared modes satisfying $k<\left|m\right|\Omega$ and $k<|m\pm 1|\Omega$, 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.