辐射反应、重整化与庞加莱对称性
Radiation Reaction, Renormalization and Poincaré Symmetry
摘要：
我们考虑经典电动力学中的自作用问题，一个大质量的点状电荷，以及一个无质量的。一个一致的正则化程序，提出了利用理论的对称性。导出了4D和6D中的辐射反作用力。证明了庞加莱不变的六维重荷电动力学是可重整化的理论。与大质量的情况不同，辐射能量-动量的比率在源加速时趋于无穷大。外部电磁场不改变粒子的速度，只允许它存在于相互作用区域内。有效的运动运动方程是电磁张量的本征值和本征向量的方程。计算了在平坦时空中任意运动的两个大质量点电荷辐射的能量动量干涉部分。结果表明，电荷间相互作用的洛伦兹力所作的功之和，可以完全抵消电荷产生的出射电磁波的组合效应。
英文摘要：
We consider the self-action problem in classical electrodynamics of a massive point-like charge, as well as of a massless one. A consistent regularization procedure is proposed, which exploits the symmetry properties of the theory. The radiation reaction forces in both 4D and 6D are derived. It is demonstrated that the Poincaré-invariant six-dimensional electrodynamics of the massive charge is renormalizable theory. Unlike the massive case, the rates of radiated energy-momentum tend to infinity whenever the source is accelerated. The external electromagnetic fields, which do not change the velocity of the particle, admit only its presence within the interaction area. The effective equation of motion is the equation for eigenvalues and eigenvectors of the electromagnetic tensor. The interference part of energy-momentum radiated by two massive point charges arbitrarily moving in flat spacetime is evaluated. It is shown that the sum of work done by Lorentz forces of charges acting on one another exhausts the effect of combination of outgoing electromagnetic waves generated by the charges.
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