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arXiv math-ph/0009003math-phgr-qcmath.MP
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洛伦兹电动力学中的质量和自旋重整化

Mass and Spin Renormalization in Lorentz Electrodynamics

Walter Appel, Michael K. -H. Kiessling

摘要:

提出了一种新的相对论协变的有质量洛伦兹电动力学(LED),其中裸粒子具有有限的正裸静止质量和转动惯量.粒子的电磁自相互作用使其质量和自旋重新正规化。最重要的是,重整化粒子是一个孤立子:在任何散射过程之后,它的静止质量和自旋幅度动态地恢复到它们散射前的值。这保证了“电子仍然是电子”,诗意地说。对这个模型进行了重整化流研究,讨论了裸静止质量消失的极限。这个极限产生了一个纯电磁经典场论,其紫外截止波长大约是电子的康普顿波长!重整化极限模型与经验电子数据相匹配,就像人们在洛伦兹理论水平上所希望的那样有序。特别是,没有超光速赤道回转速度发生。

英文摘要:

A new, relativistically covariant, massive Lorentz Electrodynamics (LED) is presented in which the bare particle has a finite positive bare rest mass and moment of inertia. The particle's electromagnetic self-interaction renormalizes its mass and spin. Most crucially, the renormalized particle is a soliton: after any scattering process its rest mass and spin magnitude are dynamically restored to their pre-scattering values. This guarantees that ``an electron remains an electron,'' poetically speaking. A renormalization flow study of the limit of vanishing bare rest mass is conducted for this model. This limit yields a purely electromagnetic classical field theory with ultra-violet cutoff at about the electron's Compton wavelength! The renormalized limit model matches the empirical electron data as orderly as one can hope for at the level of Lorentz theory. In particular, no superluminal equatorial gyration speeds occur.

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