Born renormalization in classical Maxwell electrodynamics

J. Kijowski; P. Podles

doi:10.1016/s0393-0440(03)00049-4

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arXiv · physics/0304056

Born renormalization in classical Maxwell electrodynamics

J. Kijowski·P. Podles

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Abstract

We define and compute the renormalized four-momentum of the composed physical system: classical Maxwell field interacting with charged point particles. As a `reference' configuration for the field surrounding the particle, we take the Born solution. Unlike in the previous approach [Gen. Relat. Grav. 26 (1994) 167; Acta Phys. Pol. A 85 (1994) 771; Commun. Math. Phys. 198 (1998), 711], based on the Coulomb `reference', a dependence of the four-momentum of the particle (`dressed' with the Born solution) upon its acceleration arises in a natural way. This will change the resulting equations of motion. Similarly, we treat the angular momentum tensor of the system.

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J. Kijowski, P. Podles. 2003-04-16. Born renormalization in classical Maxwell electrodynamics. https://doi.org/10.1016/s0393-0440(03)00049-4

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