Abstract
We study the photon self-energy in magnetized chiral plasma by solving the response of electromagnetic field perturbations in chiral kinetic theory with Landau level states. With lowest Landau level approximation and in collisionless limit, we find solutions for three particular perturbations: parallel electric field, static perpendicular electric and magnetic field, corresponding to chiral magnetic wave, drift state and tilted state, from which we extract components of photon self-energy in different kinematics. We show no solution is possible for more general field perturbations. We argue this is an artifact of the collisionless limit: while static solution corresponding to drift state and tilted state can be found, they cannot be realized dynamically without interaction between Landau levels. We also discuss possible manifestation of side-jump effect due to both boost and rotation, with the latter due to the presence of background magnetic field.
Highlights
There has been a long history of work towards an understanding of vacuum polarization by electromagnetic fields
By using chiral kinetic theory with Landau level states, we studied the photon self-energy in magnetized chiral plasma from the response to electromagnetic field perturbations
In the regime of the strong magnetic field, we studied the response of chiral plasma to three different field perturbations: the parallel electric field, and the static perpendicular electric and static perpendicular magnetic fields
Summary
There has been a long history of work towards an understanding of vacuum polarization by electromagnetic fields. In the regime of the linear response, these transport phenomena are characterized by photon self-energy in the magnetized. In the regime of the strong magnetic field, a different expansion scheme is used giving rise to a chiral kinetic theory based on Landau level (LL) states [18,22,62]. The purpose of this paper is to apply this chiral kinetic theory to study the photon self-energy in magnetized chiral plasma as an alternative approach to the selfenergy problem. The paper is organized as follows: in Sec. II, we summarize generalities of photon self-energy, in Sec. III, we give a short review of chiral kinetic equations based on LL states and analyze the structure of equations, and in Sec. IV, we present solutions corresponding to three specific perturbations and discuss the physical implications of them.
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