2016/01/30 by Avdhesh Kumar, Jitesh. R. Bhatt, Predhiman. K. Kaw
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.physletb.2016.04.009
published as Physics Letters B 757, 317-323 (2016) · 10 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1405.2865
arxiv created 2016/01/30 · arxiv updated 2016/12/21
We study the chiral-imbalance and the Weibel instabilities in presence of the quantum anomaly using the Berry-curvature modified kinetic equation. We argue that in many realistic situations, e.g. relativistic heavy-ion collisions, both the instabilities can occur simultaneously. The Weibel instability depends on the momentum anisotropy parameter ξ and the angle (θn) between the propagation vector and the anisotropy direction. It has maximum growth rate at θn=0 while θn=π/2 corresponds to a damping. On the other hand the pure chiral-imbalance instability occurs in an isotropic plasma and depends on difference between the chiral chemical potentials of right and left-handed particles. It is shown that when θn=0, only for a very small values of the anisotropic parameter ξ∼ ξc, growth rates of the both instabilities are comparable. For the cases ξc<ξ≪1, ξ≈ 1 or ξ≥ 1 at θn=0, the Weibel modes dominate over the chiral-imbalance instability if μ5/T≤1. However, when μ5/T≥1, it is possible to have dominance of the chiral-imbalance modes at certain values of θn for an arbitrary ξ.