This work is the first, to the best of our knowledge, to study synchrotron radiation (SR) from a massless charged electron based on the quantum theory of radiation using exact solutions of the Dirac equation in a constant magnetic field. The cases of (2+1)-dimensional and (3+1)-dimensional quantum electrodynamics are considered separately, and the calculation of synchrotron radiation of conduction electrons in single-layer graphene is presented. A comparative analysis of two types of quantum effects in massive and massless theories of synchrotron radiation is carried out. Analytical expressions obtained for the spectral distribution and total radiation power for all the processes are considered. It is shown that the SR of a massless charged electron is a purely quantum process in both 𝑄⁢𝐸⁢𝐷2+1 and 𝑄⁢𝐸⁢𝐷3+1.

中文翻译：

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带电无质量费米子同步辐射的量子理论


据我们所知，这项工作是第一个基于辐射量子理论的无质量带电电子的同步辐射 （SR） 的研究，在恒定磁场中使用狄拉克方程的精确解。分别考虑了 （2+1） 维和 （3+1） 维量子电动力学的情况，并介绍了单层石墨烯中传导电子同步辐射的计算。对同步辐射的有质量理论和无质量理论中的两种量子效应进行了比较分析。考虑了所有过程的光谱分布和总辐射功率的解析表达式。结果表明，无质量带电电子的 SR 在 QED2+1 和 QED3+1 中都是纯量子过程。