Quantum Gravitation: The Feynman Path Integral Approach 2009th Edition by Herbert W. Hamber (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review From the reviews:“The book of Hamber covers key aspects and open issues related to a consistent regularized formulation of quantum gravity with the aid of the covariant Feynman path integral quantization. … The book is oriented on the physicists interested in quantum gravity. It will be useful both for the first acquaintance with the specific features of the Feynman path integrals in gravity and for those who are already working with such integrals … .” (Michael B. Mensky, Zentralblatt MATH, Vol. 1171, 2009)“This work covers all the important aspects of the subject and points the reader in the direction of open problems in the field of quantum theory of gravity. … The book is very well written … . This book will be a great reference tool for researchers working in the field of quantum gravity as well as for graduate students, with basic knowledge of classical gravitational theory and quantum field theory, who wish to learn about quantum gravity and lattice methods.” (Guglielmo Fucci, Mathematical Reviews, Issue 2011 e) From the Back Cover 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. About the Author Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a peculiar book which is worth to study at, I have not study all the chapters but the ones I have done I have obtain good rewards of them. The book is about covariant quantization it has a wonderful first chapter that I have studied thoroughly where you can find perturbative approach to the gravitational field, here you find the Einsteins equations linearized and how after applying the Donder gauge they become essentially the wave equation given rise to the graviton. Then you find the Feynman rules. The second chapter covers the problem of the Feynman Path Integral approach applied to gravity and how you have to sum basically over different geometries. Chapter 3 is very important although I have skipped because is Gravity in 2+e dimensions, you will see the sigma and non-linear sigma model and large N expansion but because it is essentially in 2 dimensions I decided It was not realistic so I didn’t bother too much with it but on a second reading I will definitely go through it. Chapter 4 is a delight it derives the Hamiltonian of GR the Arnowitt-Deser-Misner formulation (ADM), it talks about extrinsic and intrinsic curvature and then presents the Wheeler-DeWitt equation and minisuperspace. Chapter 5 gives de Hawking approach to the Wheeler DeWitt equation using the Feynman path integral formulation where an approximation is used in the action of GR to get a Semi-classical solution. For the rest of the chapters I have not studied them, 6 and 7 are about lattice gravity, 8 Numerical studies and 9 scale dependent Gravitational couplings. All in all is a good written book where every chapter is worthwhile depending on your interests, no Loop Quantum gravity approach and no string theory approach on this book on this side it is a more conventional book, I definitely recommend it to add it to your shelf.

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Quantum Gravitation: The Feynman Path Integral Approach 2009th Edition PDF Free Download
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Quantum Gravitation: The Feynman Path Integral Approach 2009th Edition 2009 PDF Free Download
Download Quantum Gravitation: The Feynman Path Integral Approach 2009th Edition PDF
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