Quantum Gravitation approaches the subject from the point of view of Feynman path integrals, which provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the rermalization group can be systematically and consistently addressed. It is shown that the path integral method is suitable for both perturbative as well as n-perturbative studies, and is already kwn to offer a framework for the theoretical investigation of n-Abelian gauge theories, the basis for three of the four kwn fundamental forces in nature. The book thus provides a coherent outline of the present status of the theory gravity based on Feynman's formulation, with an emphasis on quantitative results. Topics are organized in such a way that the correspondence to similar methods and results in modern gauge theories becomes apparent. Covariant perturbation theory are developed using the full machinery of Feynman rules, gauge fixing, background methods and ghosts. The rermalization group for gravity and the existence of n-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models. The final chapter addresses contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.
Herbert W. Hamber
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K
60 black & white illustrations, 1 black & white tables, biography