光子吸收引起的电子加速：相对论量子场无穷大问题的一个可能起源
Electron acceleration due to photon absorption: A possible origin of the infinity problems in relativistic quantum fields
摘要：
基于最近提出的扩展粒子的概念，我们进行了一个用适当低频率的光子加速单电子的Gedanken实验。考虑到由于获得的速度和无限重复的单次吸收过程引起的相对论时间膨胀，可以表明无限极限的动能等于m_{e} c^{2}/2。然而，电子的惯性质量似乎增强了，并且可以确定这种增强是由相对论质量效应描述的。因此，看来虽然在相互作用中存在奇点--使粒子加速到c的极限附近所需的频率变成无穷大--粒子本身的能量却接近一个有限的极限。与Bethe对兰姆位移的计算相比，这一结果似乎为所采用的重整化方法提供了最终的依据。
英文摘要：
Based on the concept of extended particles recently introduced we perform a Gedankenexperiment accelerating single electrons with photons of suitably low frequency. Accounting for relativistic time dilation due to the acquired velocity and in infinite repetition of single absorption processes it can be shown that the kinetic energy in the infinite limit is equal to m_{e} c^{2}/2. However, the inertial mass of the electron seems enhanced, and it can be established that this enhancement is described by the relativistic mass effect. It appears, therefore, that although there exists a singularity in interactions - the frequency required to accelerate the particle near the limit of c becomes infinite - the energy of the particle itself approaches a finite limit. Comparing with calculations of the Lamb-shift by Bethe this result seems to provide the ultimate justification for the renormalization procedures employed.
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