Radiation reaction in curved even-dimensional spacetimeстатья

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Дата последнего поиска статьи во внешних источниках: 1 августа 2016 г.

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[1] Gal'tsov D. V., Spirin P. Radiation reaction in curved even-dimensional spacetime // Гравитация и космология. — 2007. — Vol. 13, no. 4. — P. 241–252. [arXiv:1012.3085v1[hep-th]] We develop a new method of computing radiation reaction for a point particle interacting with massless scalar and vector fields in curved space-time. It is based on the analysis of field Green functions with both points lying on the particle world line and does not require integration of the field stresses outside the world line as was used in the DeWitt-Brehme approach, thus leading to a substantial simplification of the problem. We start with space-time of arbitrary dimension and show that the Hadamard expansion of the massless scalar and vector Green functions contain only integer inverse powers of the Synge world function in even dimensions and only half-integer ones in odd dimensions. The even-dimensional case then is treated in detail. We analyze the divergences, prove renormalizability via adding higher-derivative counterterms, and find a recurrent formula for the local parts of the reaction force in the neighbouring dimensions. Higher-dimensional curved space counterterms are not simply covariant generalizations of the flat ones but contain additional curvature-dependent terms. We illustrate our formalism in four and six dimensions. In the first case, we rederive the DeWitt-Brehme-Hobbs results in a simpler way, in the second case we give a covariant generalization of the Kosyakov equation. The local part of the reaction force is found to contain a term proportional to the Riemann tensor, which is absent in four dimensions.

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