ONE-LOOP EFFECTIVE ACTION FOR FREE QUANTIUM-FIELD MODELS

The new method for calculation of the divergent part of the one-loop effective action reducing the calculations to the most simple algebraic operations has been constructed. For it all the actions repeating in the standard approaches have been carried out, in the most general form that permitted to obtain firstly the explicit expressions for contramembers of the theory of free form in the four-dimensional curved space. The correctness of the obtained results has been confirmed with the consideration of a number of the partial cases. The contramembers for Einstein gravitation with cosmological constant in the free non-minimal graduation have been calculated firstly. The absence of the graduating dependence in the divergent part of the effective action on the motion equations has been determined. The tensor package for the system of analytical calculation REDUCE permitting to perform the automatic processing of the multi-index expressions on base of which the program for computer calculation of the one-loop divergences has been written according to the constructed algorithm has been created. The one-loop comtramembers for affine-metric theory of gravitation interacting with scalar field at presence of the cosmological constant. The non-renormalization of the theory has been specified.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio