On the Chiral imbalance and Weibel Instabilities

Abstract

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 $\xi$ and the angle (${\theta }_n$) between the propagation vector and the anisotropy direction. It has maximum growth rate at ${\theta }_n=0$ while ${\theta }_n=\pi /2$ 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 ${\theta }_n=0$, only for a very small values of the anisotropic parameter $\xi \sim {\xi }_c$, growth rates of the both instabilities are comparable. For the cases ${\xi }_c<\xi \ll 1$, $\xi \approx 1$ or $\xi \ge 1$ at ${\theta }_n=0$, the Weibel modes dominate over the chiral-imbalance instability if ${\mu }_5/T\le 1$. However, when ${\mu }_5/T\ge 1$, it is possible to have dominance of the chiral-imbalance modes at certain values of ${\theta }_n$ for an arbitrary $\xi$.

10 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1405.2865

References in corpus (6)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Charge separation induced by P-odd bubbles in QCD matter
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
• Implications of CP-violating transitions in hot quark matter on heavy ion collisions

Cited by in corpus (4)

• Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory
• Chiral effects in astrophysics and cosmology
• Collective excitations of a hot anisotropic QCD medium with Bhatnagar-Gross-Krook collisional kernel within an effective description
• Collective modes in the anisotropic collisional hot QCD medium at finite chemical potential