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Euclidean Quantum Gravity

1993 Science
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Release : 1993
Genre : Science
Kind : eBook
Book Rating : 164/5 ( reviews)

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Book Synopsis Euclidean Quantum Gravity by : G. W. Gibbons

Download or read book Euclidean Quantum Gravity written by G. W. Gibbons. This book was released on 1993. 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.

Euclidean Quantum Gravity on Manifolds with Boundary

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 061/5 ( reviews)

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Book Synopsis Euclidean Quantum Gravity on Manifolds with Boundary by : Giampiero Esposito

Download or read book Euclidean Quantum Gravity on Manifolds with Boundary written by Giampiero Esposito. This book was released on 2012-12-06. 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.

Recent Developments in Gravitation

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 558/5 ( reviews)

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Book Synopsis Recent Developments in Gravitation by : Maurice Levy

Download or read book Recent Developments in Gravitation written by Maurice Levy. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The theory of General Relativity, after its invention by Albert Einstein, remained for many years a monument of mathemati cal speculation, striking in its ambition and its formal beauty, but quite separated from the main stream of modern Physics, which had centered, after the early twenties, on quantum mechanics and its applications. In the last ten or fifteen years, however, the situation has changed radically. First, a great deal of significant exper~en tal data became available. Then important contributions were made to the incorporation of general relativity into the framework of quantum theory. Finally, in the last three years, exciting devel opments took place which have placed general relativity, and all the concepts behind it, at the center of our understanding of par ticle physics and quantum field theory. Firstly, this is due to the fact that general relativity is really the "original non-abe lian gauge theory," and that our description of quantum field in teractions makes extensive use of the concept of gauge invariance. Secondly, the ideas of supersymmetry have enabled theoreticians to combine gravity with other elementary particle interactions, and to construct what is perhaps the first approach to a more finite quantum theory of gravitation, which is known as super gravity.

Quantum Gravity in Four Dimensions

2001 Science
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Release : 2001
Genre : Science
Kind : eBook
Book Rating : 005/5 ( reviews)

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Book Synopsis Quantum Gravity in Four Dimensions by : Giampiero Esposito

Download or read book Quantum Gravity in Four Dimensions written by Giampiero Esposito. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: Main section headings: Ideas and Problems in Quantum Gravity; On Ellipticity and Quantum Gravity; Non-Local Boundary Data in Quantum Gravity; Non-Locality and Ellipticity for Gauge Theories; New Kernels in Quantum Gravity; Quantum Gravity from First Principles; Quantum Gravity and Spectral Geometry; Bibliography; Index.

Wormholes in Euclidean Quantum Gravity

1992 Electronic dissertations
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Release : 1992
Genre : Electronic dissertations
Kind : eBook
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Book Synopsis Wormholes in Euclidean Quantum Gravity by : Stuart Alexander Ridgway

Download or read book Wormholes in Euclidean Quantum Gravity written by Stuart Alexander Ridgway. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

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