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Chiral Cherenkov radiation in the presence of a time-dependent chiral chemical potential

Kirill Tuchin

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Phys. Rev. C 112, 044903 – Published 14 October, 2025

DOI: https://doi.org/10.1103/z8r3-y9xx

Abstract

The photon production process f→f+γ in the presence of a time-dependent chiral chemical potential μ5 is studied. The validity of the adiabatic approximation is demonstrated in the ultrarelativistic limit. Analytical expressions for the photon spectrum are derived for two models of the chiral magnetic conductivity b0∝μ5: (i) b0(t)=A1+B1tanh(t/τ) and (ii) b0(t)=A2(t/τ)/(1+t2/τ2). It is known that, for constant b0, photon emission may exhibit a resonance for one-photon polarization depending on the sign of b0. It is shown that, in model (i), up to two resonances may occur, depending on the sign of the asymptotic values b0(∞) and b0(−∞). No resonances are observed in model (ii). Numerical calculations are performed using parameters relevant to quark-gluon plasma, and the universality of the results is discussed.

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Phys. Rev. C 112, 044903– Published 14 October, 2025
  • Received 14 July 2025
  • Accepted 23 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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