Magneto-vortical effect in strong magnetic field

Abstract

We develop covariant chiral kinetic theory with Landau level basis. We use it to investigate a magnetized plasma with a transverse electric field and a steady vorticity as perturbations. After taking into account vacuum shift in the latter case, we find the resulting current and stress tensor in both cases can be matched consistently with constitutive equations of magnetohydrodynamics. We find the solution in the vorticity case contains both shifts in temperature and chemical potential as well as excitations of the lowest Landau level states. The solution gives rise to an vector charge density and axial current density. The vacuum parts coming from both shifts and excitations agree with previous studies and the medium parts coming entirely from excitations leads to a new contribution to vector charge and axial current density consistent with standard chiral vortical effect.

Two-point functions from chiral kinetic theory in magnetized plasma

“…In the limit |q 3 | ≪ q0 → 0, ∆µ is also vanishing. The currents and stress tensor in CKT reduce to the simple case in [45] where a consistent matching with MHD has been done.…”

“…The Lorentz covariant CKE with Landau level states have been given by [45] in the collisonless limit,…”

“…Combining the constraints on j a in (33), (38) and (45), we obtain the O(a) redistribution of the LLL state j µ a as,…”

“…Furthermore, CKT with Landau level basis [40][41][42][43][44] has been derived in a different expansion scheme to study plasma magnetized by non-perturbative magnetic field. Particularly, in a strong magnetic field, the CKT in lowest Landau level approximation (LLLA) and collisionless limit has been applied to study photon self-energy [41] and magneto-vortical effect [45]. Recently, CKT in weak field expansion has been generalized to incorporate axial gauge field to derive correlation functions of axial currents and stress tensor [46].…”

Foundations and Applications of Quantum Kinetic Theory

“…In the CKT, both CME and chiral anomaly are connected to the Berry phase [162], which is a topological phase introduced in condensed matter physics [163,164,165,166]. Recently, further applications [76,77,167,168,169,170,171,172,173,174,175,176,177,178,179,180] and the numerical simulations for the CKT have been developed in the context of heavy-ion collisions [181,182,183,184,185,186,187,188]. There are also many other studies of chiral phenomena related to EM fields in the perturbative quantum field theory or other effective theories [47,129,189,190,191,192,193,194,195,196,159,195,197,198,199,198,200,200,…”