The problem of self-energy of a classical charged particle in a curved static space-time is considered. The expression for the regularized self-energy of a scalar charge in a~$(n+1)$~-- dimensional space-time is obtained with the use of the dimensional regularization method. The particular case of two spatial dimensions is considered. It is shown that dimensional regularization leads to the results which are in agreement with the results obtained with the use of other methods of regularization.
11.10.Kk Field theories in dimensions other than four
Department of Theoretical Physics, Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia
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