Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Phys Rev Lett. 2010 Aug 27;105(9):094802. doi: 10.1103/PhysRevLett.105.094802.
We introduce an effective field theory approach that describes the motion of finite size objects under the influence of electromagnetic fields. We prove that leading order effects due to the finite radius R of a spherically symmetric charge is order R2 rather than order R in any physical model, as widely claimed in the literature. This scaling arises as a consequence of Poincaré and gauge symmetries, which can be shown to exclude linear corrections. We use the formalism to calculate the leading order finite size correction to the Abraham-Lorentz-Dirac force.
我们介绍了一种有效场论方法,用于描述在电磁场影响下有限大小物体的运动。我们证明,在任何物理模型中,由于球对称电荷的有限半径 R 引起的主导阶效应都是 R2 阶而不是 R 阶,这与文献中的广泛观点相反。这种标度是由于 Poincaré 和规范对称性引起的,这可以证明排除了线性修正。我们使用这个形式体系来计算 Abraham-Lorentz-Dirac 力的主要阶有限大小修正。