Lectures on Non-perturbative Canonical Gravity PDF Download

Author: Abhay Ashtekar
Publisher: World Scientific
ISBN: 9810205740
Category : Science
Languages : en
Pages : 356

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Book Description
Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.

Author: Abhay Ashtekar
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 352

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Author: Petr Ivanovich Pronin
Publisher: World Scientific
ISBN: 9789810226688
Category : Science
Languages : en
Pages : 536

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Book Description
This volume comprises original and review articles on the frontier problems of the gravitation theory, theoretical and mathematical physics. The volume is dedicated to the memory of Professor Dmitri Ivanenko who made the great contribution to the physical science of the twentieth century.

Author: Martin Reuter
Publisher: Cambridge University Press
ISBN: 1107107326
Category : Science
Languages : en
Pages : 357

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Book Description
A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.

Author: John Baez
Publisher: World Scientific Publishing Company
ISBN: 9813103248
Category : Science
Languages : en
Pages : 480

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Book Description
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.

Author: Dean Rickles
Publisher: Oxford University Press
ISBN: 0199269696
Category : Mathematics
Languages : en
Pages : 283

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Book Description
What is spacetime? General relativity and quantum field theory answer this question in different ways. This collection of essays looks at the problem of uniting these two fundamental theories of our world, focusing on the nature of space and time within this quantum framework.

Author: Eckehard W. Mielke
Publisher: Springer
ISBN: 3319297341
Category : Science
Languages : en
Pages : 377

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Book Description
This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.

Author: R.J. Gleiser
Publisher: CRC Press
ISBN: 9780750302616
Category : Science
Languages : en
Pages : 460

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Book Description
General Relativity and Gravitation 1992 contains the best of 700 papers presented at the tri-annual INT conference, generally recognized as the key conference in the area. The plenary and invited papers are published in full, along with summaries of parallel symposia and workshops. The list of plenary speakers is as impressive as ever, with contributions from Jim Hartle, Roger Penrose, and Lee Smolin among many others.

Author: Luca Lusanna
Publisher: Cambridge University Press
ISBN: 1108480829
Category : Science
Languages : en
Pages : 339

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Book Description
Describes global non-inertial frames in special and general relativity and provides a detailed description of mathematical methods.

Author: American Mathematical Society
Publisher: American Mathematical Soc.
ISBN: 0821803808
Category : Science
Languages : en
Pages : 221

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Book Description
This text is the result of an AMS Short Course on Knots and Physics that was held in San Francisco in January 1994. The authors use ideas and methods of mathematical physics to extract topological information about knots and manifolds. The book features a basic introduction to knot polynomials in relation to statistical link invariants as well as concise introductions to topological quantum field theories and to the role of knot theory in quantum gravity.