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首页> 外文期刊>Journal of Experimental and Theoretical Physics >Renormalization of the Lorentz-Abraham-Dirac Equation for Radiation Reaction Force in Classical Electrodynamics
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Renormalization of the Lorentz-Abraham-Dirac Equation for Radiation Reaction Force in Classical Electrodynamics

机译：经典电动力学中辐射反应力的Lorentz-Abraham-Dirac方程的重新归一化

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摘要

Dirac's analysis of radiation reaction force in classical electrodynamics suggested that a 4-momentum not collinear with 4-velocity could be introduced for a radiating electron. This would be equivalent to renormalization of the electron mass as an operator relating these 4-vectors. Dirac also pointed to an arbitrary choice made in deriving the Lorentz-Abraham-Dirac (LAD) equation. It was shown that renormalization substantially modifies the LAD equation under the additional requirement that the standard relativistic relation E-2 = p(2)c(2) + m(2)c(4) holds for the renormalized energy and momentum. The renormalized LAD equation is more rigorous than the LAD equation, because the drawbacks of the latter are eliminated, and is simpler than a well-known approximation of the LAD equation. The renormalized LAD equation appears to be better suited for numerical simulations of processes in ultrahigh-intensity laser-pulse fields.
机译：狄拉克（Dirac）在经典电动力学中对辐射反作用力的分析表明，可以将不与4速度共线的4动量引入辐射电子。这将等效于电子质量的重新归一化，作为与这4个矢量相关的算符。狄拉克还指出了在推导洛伦兹-亚伯拉罕-狄拉克（LAD）方程时做出的任意选择。结果表明，在标准相对论关系E-2 = p（2）c（2）+ m（2）c（4）满足重新标准化的能量和动量的附加要求下，重新标准化实质上修改了LAD方程。重新归一化的LAD方程比LAD方程更加严格，因为它消除了LAD方程的弊端，并且比LAD方程的众所周知的近似方法更简单。重新归一化的LAD方程似乎更适合于超高强度激光脉冲场中过程的数值模拟。

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