Quantum Gravity Quantum Cosmology And Lorentzian Geometries

Author : Giampiero Esposito
Publisher : Springer Science & Business Media
ISBN 13 : 3540472959
Total Pages : 364 pages
Book Rating : 4.57/5 ( download)

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Download or read book Quantum Gravity, Quantum Cosmology and Lorentzian Geometries written by Giampiero Esposito and published by Springer Science & Business Media. This book was released on 2009-02-13 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at theoretical and mathematical physicists and mathematicians interested in modern gravitational physics. I have thus tried to use language familiar to readers working on classical and quantum gravity, paying attention both to difficult calculations and to existence theorems, and discussing in detail the current literature. The first aim of the book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation of this research was to under stand whether supersymmetric theories are one-loop finite in the presence of boundaries, with application to the boundary-value problemsoccurring in quantum cosmology. Indeed, higher-loop calculations in the absence of boundaries are already available in the litera ture, showing that supergravity is not finite. I believe, however, that one-loop calculations in the presence of boundaries are more fundamental, in that they provide a more direct check of the inconsistency of supersymmetric quantum cosmology from the perturbative point of view. It therefore appears that higher-order calculations are not strictly needed, if the one-loop test already yields negative results. Even though the question is not yet settled, this research has led to many interesting, new applications of areas of theoretical and mathematical physics such as twistor theory in flat space, self-adjointness theory, the generalized Riemann zeta-function, and the theory of boundary counterterms in super gravity. I have also compared in detail my work with results by other authors, explaining, whenever possible, the origin of different results, the limits of my work and the unsolved problems.

Author : Margaret Prugovecki
Publisher : Springer Science & Business Media
ISBN 13 : 9401579717
Total Pages : 543 pages
Book Rating : 4.11/5 ( download)

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Download or read book Quantum Geometry written by Margaret Prugovecki and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a review and analysis of the main mathematical, physical and epistomological difficulties encountered at the foundational level by all the conventional formulations of relativistic quantum theories, ranging from relativistic quantum mechanics and quantum field theory in Minkowski space, to the various canonical and covariant approaches to quantum gravity. It is, however, primarily devoted to the systematic presentation of a quantum framework meant to deal effectively with these difficulties by reconsidering the foundations of these subjects, analyzing their epistemic nature, and then developing mathematical tools which are specifically designed for the elimination of all the basic inconsistencies. A carefully documented historical survey is included, and additional extensive notes containing quotations from original sources are incorporated at the end of each chapter, so that the reader will be brought up-to-date with the very latest developments in quantum field theory in curved spacetime, quantum gravity and quantum cosmology. The survey further provides a backdrop against which the new foundational and mathematical ideas of the present approach to these subjects can be brought out in sharper relief.

Author : Domenico J. W. Giulini
Publisher : Springer Science & Business Media
ISBN 13 : 9783540408109
Total Pages : 426 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Quantum Gravity written by Domenico J. W. Giulini and published by Springer Science & Business Media. This book was released on 2003-09-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.

Author : Remo Ruffini
Publisher : World Scientific
ISBN 13 : 9789971503123
Total Pages : 358 pages
Book Rating : 4.23/5 ( download)

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Download or read book Quantum Cosmology written by Remo Ruffini and published by World Scientific. This book was released on 1987 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This detailed survey comprises reprints on subjects related to the development of quantum cosmology. As an introduction, an overview is included.

Author : G. W. Gibbons
Publisher : World Scientific
ISBN 13 : 9789810205164
Total Pages : 604 pages
Book Rating : 4.63/5 ( download)

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Download or read book Euclidean Quantum Gravity written by G. W. Gibbons and published by World Scientific. This book was released on 1993 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Euclidean approach to Quantum Gravity was initiated almost 15 years ago in an attempt to understand the difficulties raised by the spacetime singularities of classical general relativity which arise in the gravitational collapse of stars to form black holes and the entire universe in the Big Bang. An important motivation was to develop an approach capable of dealing with the nonlinear, non-perturbative aspects of quantum gravity due to topologically non-trivial spacetimes. There are important links with a Riemannian geometry. Since its inception the theory has been applied to a number of important physical problems including the thermodynamic properties of black holes, quantum cosmology and the problem of the cosmological constant. It is currently at the centre of a great deal of interest.This is a collection of survey lectures and reprints of some important lectures on the Euclidean approach to quantum gravity in which one expresses the Feynman path integral as a sum over Riemannian metrics. As well as papers on the basic formalism there are sections on Black Holes, Quantum Cosmology, Wormholes and Gravitational Instantons.

Author : Jeff Murugan
Publisher : Cambridge University Press
ISBN 13 : 0521114403
Total Pages : 453 pages
Book Rating : 4.00/5 ( download)

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Download or read book Foundations of Space and Time written by Jeff Murugan and published by Cambridge University Press. This book was released on 2012-07-19 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encapsulates the latest debates on this topic, giving researchers and graduate students an up-to-date view of the field.

Author : Giampiero Esposito
Publisher : Springer Science & Business Media
ISBN 13 : 9401158061
Total Pages : 334 pages
Book Rating : 4.60/5 ( download)

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Download or read book Euclidean Quantum Gravity on Manifolds with Boundary written by Giampiero Esposito and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects our own struggle to understand the semiclassical behaviour of quantized fields in the presence of boundaries. Along many years, motivated by the problems of quantum cosmology and quantum field theory, we have studied in detail the one-loop properties of massless spin-l/2 fields, Euclidean Maxwell the ory, gravitino potentials and Euclidean quantum gravity. Hence our book begins with a review of the physical and mathematical motivations for studying physical theories in the presence of boundaries, with emphasis on electrostatics, vacuum v Maxwell theory and quantum cosmology. We then study the Feynman propagator in Minkowski space-time and in curved space-time. In the latter case, the corre sponding Schwinger-DeWitt asymptotic expansion is given. The following chapters are devoted to the standard theory of the effective action and the geometric im provement due to Vilkovisky, the manifestly covariant quantization of gauge fields, zeta-function regularization in mathematics and in quantum field theory, and the problem of boundary conditions in one-loop quantum theory. For this purpose, we study in detail Dirichlet, Neumann and Robin boundary conditions for scalar fields, local and non-local boundary conditions for massless spin-l/2 fields, mixed boundary conditions for gauge fields and gravitation. This is the content of Part I. Part II presents our investigations of Euclidean Maxwell theory, simple super gravity and Euclidean quantum gravity.

Author : P. D. D'Eath
Publisher : Cambridge University Press
ISBN 13 : 0521552877
Total Pages : 272 pages
Book Rating : 4.75/5 ( download)

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Download or read book Supersymmetric Quantum Cosmology written by P. D. D'Eath and published by Cambridge University Press. This book was released on 1996-07-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely volume provides the first comprehensive and coherent introduction to modern quantum cosmology - the study of the universe as a whole according to the laws of quantum mechanics. In particular, it presents a useful survey of the many profound consequences of supersymmetry (supergravity) in quantum cosmology. Ample introductory material is included, ensuring this topical volume is well suited as a graduate text. Researchers in theoretical and mathematical physics, applied maths and cosmology will also find it of immediate interest.

Author : Carlo Rovelli
Publisher : Cambridge University Press
ISBN 13 : 1139456156
Total Pages : 516 pages
Book Rating : 4.59/5 ( download)

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Download or read book Quantum Gravity written by Carlo Rovelli and published by Cambridge University Press. This book was released on 2007-11-29 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.

Author : Steven Carlip
Publisher : Cambridge University Press
ISBN 13 : 9780521545884
Total Pages : 296 pages
Book Rating : 4.89/5 ( download)

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Download or read book Quantum Gravity in 2+1 Dimensions written by Steven Carlip and published by Cambridge University Press. This book was released on 2003-12-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.