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arXiv · 0710.5676

On the Problem of Radiation Friction Beyond 4 and 6 Dimensions

A. Mironov·A. Morozov
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Abstract

We count the number of independent structures which can arise in expressions for radiation friction force in different even space-time dimensions and demonstrate that their number is too big at d\geq 8 to allow determination of this force from the transversality condition alone, as was done by B.Kosyakov in 6d. This implies that in general one can not bypass a tedious calculation involving explicit regularization and evaluation of emerging counterterms. However, simple Kosyakov's method works nicely in any dimension for the special case of circular motion with constant angular velocity.

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A. Mironov, A. Morozov. 2007-10-30. On the Problem of Radiation Friction Beyond 4 and 6 Dimensions. https://doi.org/10.1142/s0217751x0804144x

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