论文标题
Cherenkov辐射在强磁场中
Cherenkov radiation in a strong magnetic field
论文作者
论文摘要
根据量子电动力学的说法，在恒定且在空间上均匀的强磁场中，真空通过大于统一的折射率变化。结果，在此类介质中传播的超忠实电荷颗粒可以发出与光子频率$ω$成正比的功率谱的Cherenkov辐射。因此，通过将$ω$推断以外的关键同步子频率$ω__{C} $，Cherenkov辐射最终将在其同步加速器对应物上占主导地位。但是，这种推断是不可能的。我们表明，在有效场理论的框架中，最大可达到的光子频率$ω_ {\ tiny {\ mbox {max}}} $大约是四个数量级小于$ω__{c} $。在$ω=ω_ {\ tiny {\ mbox {max}}}} $，给定$γ_{e} $ - 电子传播的电子因子正常运行到常数且空间均匀的磁场$ \ mathbf {b} $，当$γ_{然而，由于其光谱通量密度比同步加速器辐射小约三个数量级，因此在天体物理环境中检测Cherenkov辐射仍然具有挑战性。
According to quantum electrodynamics, in a strong magnetic field that is constant and spatially uniform, the vacuum becomes polarized with a refractive index greater than unity. As a result, ultra-relativistic charged particles travelling in such media can emit Cherenkov radiation with a power spectrum directly proportional to the photon frequency $ω$. Therefore, by extrapolating $ω$ beyond the critical synchrotron frequency $ω_{c}$, the Cherenkov radiation will eventually dominate over its synchrotron counterpart. However, such an extrapolation is not possible. We show that in the framework of effective field theory, the maximal attainable photon frequency $ω_{\tiny{\mbox{max}}}$ is about four order of magnitude less than $ω_{c}$. At $ω=ω_{\tiny{\mbox{max}}}$, given the $γ_{e}$-factor of an electron travelling normal to a constant and spatially uniform magnetic field $\mathbf{B}$, the spectrum of Cherenkov radiation becomes dominant when $γ_{e}(|\mathbf{B}|/\mbox{Gauss})\gtrsim 4.32\times 10^{19}$. Nevertheless, detecting the Cherenkov radiation in astrophysical environments remains challenging since its spectral flux density is about three orders of magnitude less than the synchrotron radiation.
