Quantum Gravitation - Hamber Herbert W. | Libro Springer 11/2008 - HOEPLI.it


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hamber herbert w. - quantum gravitation

Quantum Gravitation

The Feynman Path Integral Approach




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Dettagli

Genere:Libro
Lingua: Inglese
Editore: Springer
Pubblicazione: 11/2008
Edizione: 2009





Sommario

Continuum Formulation.- Feynman Path Integral Formulation.- Gravity in 2+? Dimensions.- Hamiltonian and Wheeler-DeWitt Equation.- Semiclassical Gravity.- Lattice Regularized Quantum Gravity.- Analytical Lattice Expansion Methods.- Numerical Studies.- Scale Dependent Gravitational Couplings.  




Trama

"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 renormalization group can be systematically and consistently addressed. It is shown that the path integral method is suitable for both perturbative as well as non-perturbative studies, and is already known to offer a framework 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. The final chapter addresses contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.





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Altre Informazioni

ISBN: 9783540852926
Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 707 gr
Formato: Copertina rigida
Illustration Notes:60 Illustrations, black and white
Pagine Arabe: 342
Pagine Romane: xviii






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