Particle temperature and the Chiral Vortical Effect in the early universe

Abstract

We study the effect of hotter or colder particles on the evolution of the chiral magnetic field in the early universe. We are interested in the temperature dependent term in the chiral vortical effect. There are no changes in the magnetic energy spectrum at large lengthscales but in the Kolmogorov regime we do find a difference. Our numerical results show that the Gaussian peak in the magnetic spectrum becomes negatively skewed. The negatively skewed peak can be fitted with a beta distribution. Analytically one can relate the non-Gaussianity of the distribution to the temperature dependent vorticity term. The vorticity term is therefore responsible for the beta distribution in the magnetic spectrum. Since the beta distribution has already been used to model turbulent dispersion in fluids, hence it seems that the presence of hotter or colder particles may lead to turbulence in the magnetized plasma.

16 pages 3 figures Two references added. Version accepted for Mod. Phys. Letts. A

References in corpus (6)

• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Non-thermal Dark Matter and the Moduli Problem in String Frameworks
• Evolution of Primordial Magnetic Fields from Phase Transitions
• A new B-L model without right-handed neutrinos
• Influence of the turbulent motion on the chiral magnetic effect in the early Universe
• Magnetic fields and chiral asymmetry in the early hot universe