Chiral Cherenkov radiation in the presence of a time-dependent chiral chemical potential
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909858249310208 |
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| author | Tuchin, Kirill |
| author_facet | Tuchin, Kirill |
| contents | The photon production process $f\to f+γ$ in the presence of a time-dependent chiral chemical potential $μ_5$ is studied. The validity of the adiabatic approximation is demonstrated in the ultra-relativistic limit. Analytical expressions for the photon spectrum are derived for two models of the chiral magnetic conductivity $b_0\propto μ_5$: (i) $b_0(t)= A_1+B_1\tanh(t/τ)$ and (ii) $b_0(t)= A_2(t/τ)/(1+t^2/τ^2)$. It is known that for constant $b_0$, photon emission may exhibit a resonance for one photon polarization depending on the sign of $b_0$. It is shown that in model (i), up to two resonances may occur, depending on the sign of the asymptotic values $b_0(\infty)$ and $b_0(-\infty)$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chiral Cherenkov radiation in the presence of a time-dependent chiral chemical potential Tuchin, Kirill High Energy Physics - Phenomenology Nuclear Theory The photon production process $f\to f+γ$ in the presence of a time-dependent chiral chemical potential $μ_5$ is studied. The validity of the adiabatic approximation is demonstrated in the ultra-relativistic limit. Analytical expressions for the photon spectrum are derived for two models of the chiral magnetic conductivity $b_0\propto μ_5$: (i) $b_0(t)= A_1+B_1\tanh(t/τ)$ and (ii) $b_0(t)= A_2(t/τ)/(1+t^2/τ^2)$. It is known that for constant $b_0$, photon emission may exhibit a resonance for one photon polarization depending on the sign of $b_0$. It is shown that in model (i), up to two resonances may occur, depending on the sign of the asymptotic values $b_0(\infty)$ and $b_0(-\infty)$. 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. |
| title | Chiral Cherenkov radiation in the presence of a time-dependent chiral chemical potential |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2507.07324 |