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Chaotic worlds : from order to disorder in gravitational n-body dynamical systems : proceedings of the NATO Advanced Study Institute on ..., Cortina, Italy 8-20 September 2003
Authors: --- --- --- --- --- et al.
ISBN: 1402047053 1402047045 9786610716418 128071641X 1402047061 9781402047053 Year: 2006 Volume: 227 Publisher: Dordrecht Brussels Brussels Springer NATO Scientific Affairs Division NATO. Scientific Affairs Division

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Cosmology and gravitation: spin, torsion, rotation, and supergravity
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ISBN: 0306404788 1461331250 1461331234 9781461331254 9780306404788 Year: 1980 Volume: 58 Publisher: New York

Recent developments in gravitation : Cargèse, 1978 : [proceedings of the 1978 Cargèse Summer Institute on recent developments in gravitation, held in Cargèse, Corsica, July 10-29]
Authors: --- --- ---
ISBN: 0306401983 1461329574 1461329558 9780306401985 Year: 1979 Volume: 44 Publisher: New York : Plenum Press,


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Astrophysics and gravitation : proceedings of the Sixteenth Solvay Conference on Physics at the University of Brussels, September 1973
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ISBN: 2800405961 9782800405964 Year: 1974 Publisher: Bruxelles Université de Bruxelles

Strings and gravity : tying the forces together
Authors: ---
ISSN: 13740911 ISBN: 2804140946 9782804140946 Year: 2001 Volume: 5 Publisher: Brussel : A. De Boeck,


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Near zero: new frontiers of physics
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ISBN: 0716718316 9780716718314 Year: 1988 Publisher: New York (N.Y.) Freeman


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Quantum gravitation : the Feynman path integral approach
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ISBN: 3540852921 3642099009 9786611853594 1281853593 354085293X Year: 2009 Publisher: Berlin : Springer,

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Abstract

The book covers the theory of Quantum Gravitation from the point of view of Feynman path integrals. These provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. The path integral method is suitable for both perturbative as well as non-perturbative studies, and is known to already provide a framework of choice for the theoretical investigation of non-abelian gauge theories, the basis for three of the four known 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 renormalization group for gravity and the existence of non-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models. Later the lattice formulation of gravity is presented as an essential tool towards an understanding of key features of the non-perturbative vacuum. The book ends with a discussion of contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.

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