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arXiv 1207.5002math-phmath.MPnucl-th
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通过能量-动量和angular momentum平衡方程的自作用力

Self-force via energy-momentum and angular momentum balance equations

Yurij Yaremko

摘要:

研究了耦合到有质量标量场的点状电荷的辐射反应。与Klein-Gordon波动方程相关的延迟格林函数不仅支持发射点的未来光锥(直接部分),而且还扩展到光锥内部(尾部)。狄拉克将延迟电磁场分解为“先进和延迟场的平均值”和“辐射”场的方案适用于格林函数由直接和尾部组成的理论。得到了辐射标量电荷在外力作用下的Harish-Chandra运动方程。这个方程包含了粒子自身场的影响。自作用力产生一个随时间变化的惯性质量。

英文摘要:

The radiation reaction for a point-like charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein-Gordon wave equation has support not only on the future light cone of the emission point (direct part), but extends inside the light cone as well (tail part). Dirac's scheme of decomposition of the retarded electromagnetic field into the "mean of the advanced and retarded field" and the "radiation" field is adapted to theories where Green's function consists of the direct and the tail parts. The Harish-Chandra equation of motion of radiating scalar charge under the influence of an external force is obtained. This equation includes effect of particle's own field. The self force produces a time-changing inertial mass.

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