2022-05-16

UTAPwiki/セミナー/初期宇宙・相対論速報

Title: Chiral Kinetic Theory in the Wigner Function Formalism †

Speaker: Kohei Kamada †

Chiral magnetic effect is now known as an important effect not only
for the topics originally considered, such as the heavy ion collision
or Weyl semimetals, but also for compact stars and primordial magnetic fields.
I have explained how it is derived from the chiral anomaly by using
the Nielsen-Ninomiya approach (zero temperature) and magnetohydrodynamics
(local thermal equilibrium). However, it is desirable if we can write down
the kinetic equation (or Boltzmann equation) that consistently takes into account
the chiral effect to follow the out-of-equilibrium dynamics.
The kinetic equation with the Berry curvature is one direction,
but it is noticed that the Lorentz invariance is not apparent in this formalism.
In this talk, I will introduce the kinetic theory with the Wigner function whose
Lorentz invariance is a manifest. If time allows, I will explain the extension
to the curved spacetime and application to the electron-neutrino-proton-neutron plasma.

[1] Yoshimasa Hidaka, Shi Pu, Di-Lun Yang, arXiv:1612.04630, Phys. Rev. D 95, 091901 (2017)
[2] Yu-Chen Liu, Lan-Lan Gao, Kazuya Mameda, Xu-Guang Huang, arXiv:1812.10127, Phys. Rev. D 99, 085014 (2019)
[3] Naoki Yamamoto, Di-Lun Yang, arXiv:2002.11348, Astrophys.J. 895 (2020) 1
[4] Naoki Yamamoto, Di-Lun Yang, arXiv:2103.13159, Phys. Rev. D 104, 123019 (2021)