Nonlinear chiral kinetic theory

Kazuya Mameda

doi:10.1103/physrevd.108.016001

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arXiv · 2305.02134

Nonlinear chiral kinetic theory

Kazuya Mameda

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Abstract

From quantum field theory, we derive the chiral kinetic theory involving nonlinear quantum corrections coupled with spacetime-dependent electromagnetic fields and fluid velocity gradients. An equilibrium Wigner function determined by the kinetic equation verifies the nondissipativeness of the charge induced by the magneto-vortical coupling. We reveal that this nonlinear chiral kinetic theory is consistent with the one-loop Euler--Heisenberg effective theory, indicating an indirect evidence of the trace anomaly in the kinetic theory. We also argue a potential issue on the regularization, and demonstrate the availability of the point-splitting regularization in the nonlinear chiral kinetic theory.

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Kazuya Mameda. 2023-05-03. Nonlinear chiral kinetic theory. https://doi.org/10.1103/physrevd.108.016001

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