Nonlinear chiral kinetic theory

Fuente: arXiv
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Auteur principal: Mameda, Kazuya
Format: Preprint
Publié: 2023
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author Mameda, Kazuya
author_facet Mameda, Kazuya
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2305_02134
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Nonlinear chiral kinetic theory
Mameda, Kazuya
High Energy Physics - Theory
Mesoscale and Nanoscale Physics
High Energy Physics - Phenomenology
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.
title Nonlinear chiral kinetic theory
topic High Energy Physics - Theory
Mesoscale and Nanoscale Physics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2305.02134