On the Problem of Radiation Friction Beyond 4 and 6 Dimensions

Details On the Problem of Radiation Friction Beyond 4 and 6 Dimensions On the Problem of Radiation Friction Beyond 4 and 6 Dimensions

2007-10-30

arxiv.org/abs/0710.5676v1

Int.J.Mod.Phys.A23:4677-4686,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1142/S0217751X0804144X

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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