Polarized electromagnetic radiation by chiral media with time-dependent chiral chemical potential

Fuente: arXiv
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Main Author: Tuchin, Kirill
Format: Preprint
Published: 2025
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author Tuchin, Kirill
author_facet Tuchin, Kirill
contents We investigate photon production from media characterized by a time-dependent chiral chemical potential $μ_5(t)$. We first consider the chiral anomaly as a small perturbation and show that $μ_5\to 2γ$ process generates non-polarized radiation, as the probabilities of producing right and left-handed photons are equal. In chiral semimetal with a vanishing chiral chemical potential but a finite separation of Weyl nodes, ${\bf Δ}(t)$, the photon production vanishes at the leading order of perturbation theory. We then employ the method of Bogolyubov transformation to obtain the photon spectrum that sums up all powers of $μ_5$. Employing the exactly solvable model $μ_5(t) \propto A+B\tanh(t/τ)$, we demonstrate that the spectrum exhibits strong circular polarization, whose direction is determined by the sign of $μ_5$. The spectrum contains resonances associated with the instability of the electromagnetic field in chiral media. We discuss potential phenomenological applications of these findings.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12923
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Polarized electromagnetic radiation by chiral media with time-dependent chiral chemical potential
Tuchin, Kirill
High Energy Physics - Phenomenology
Materials Science
Nuclear Theory
We investigate photon production from media characterized by a time-dependent chiral chemical potential $μ_5(t)$. We first consider the chiral anomaly as a small perturbation and show that $μ_5\to 2γ$ process generates non-polarized radiation, as the probabilities of producing right and left-handed photons are equal. In chiral semimetal with a vanishing chiral chemical potential but a finite separation of Weyl nodes, ${\bf Δ}(t)$, the photon production vanishes at the leading order of perturbation theory. We then employ the method of Bogolyubov transformation to obtain the photon spectrum that sums up all powers of $μ_5$. Employing the exactly solvable model $μ_5(t) \propto A+B\tanh(t/τ)$, we demonstrate that the spectrum exhibits strong circular polarization, whose direction is determined by the sign of $μ_5$. The spectrum contains resonances associated with the instability of the electromagnetic field in chiral media. We discuss potential phenomenological applications of these findings.
title Polarized electromagnetic radiation by chiral media with time-dependent chiral chemical potential
topic High Energy Physics - Phenomenology
Materials Science
Nuclear Theory
url https://arxiv.org/abs/2508.12923