Lectures On Non Perturbative Canonical Gravity

Author : Abhay Ashtekar
Publisher : World Scientific
Page : 356 pages
File Size : 55,6 Mb
Release : 1991-07-03
Category : Science
ISBN : 9789814571098

Get Book

Lectures On Non-perturbative Canonical Gravity by Abhay Ashtekar Pdf

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,Ranjeet S. Tate
Publisher : World Scientific
Page : 356 pages
File Size : 43,6 Mb
Release : 1991
Category : Science
ISBN : 9789810205744

Get Book

Lectures on Non-perturbative Canonical Gravity by Abhay Ashtekar,Ranjeet S. Tate Pdf

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 : Unknown
Page : 352 pages
File Size : 46,5 Mb
Release : 1988
Category : Science
ISBN : STANFORD:36105030635366

Get Book

New Perspectives in Canonical Gravity by Abhay Ashtekar Pdf

Author : Petr Ivanovich Pronin,Gennadi? Aleksandrovich Sardanashvili
Publisher : World Scientific
Page : 536 pages
File Size : 55,7 Mb
Release : 1996
Category : Science
ISBN : 9810226683

Get Book

Gravity, Particles and Space-time by Petr Ivanovich Pronin,Gennadi? Aleksandrovich Sardanashvili Pdf

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,Frank Saueressig
Publisher : Cambridge University Press
Page : 357 pages
File Size : 50,8 Mb
Release : 2019-01-03
Category : Science
ISBN : 9781107107328

Get Book

Quantum Gravity and the Functional Renormalization Group by Martin Reuter,Frank Saueressig Pdf

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

Author : John Baez,Javier P Muniain
Publisher : World Scientific Publishing Company
Page : 480 pages
File Size : 42,5 Mb
Release : 1994-10-24
Category : Science
ISBN : 9789813103245

Get Book

Gauge Fields, Knots and Gravity by John Baez,Javier P Muniain Pdf

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,Steven French,Juha T. Saatsi
Publisher : Oxford University Press
Page : 283 pages
File Size : 53,9 Mb
Release : 2006-11-16
Category : Mathematics
ISBN : 9780199269693

Get Book

The Structural Foundations of Quantum Gravity by Dean Rickles,Steven French,Juha T. Saatsi Pdf

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
Page : 377 pages
File Size : 46,9 Mb
Release : 2017-01-22
Category : Science
ISBN : 9783319297347

Get Book

Geometrodynamics of Gauge Fields by Eckehard W. Mielke Pdf

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,C.N. Kozameh,O.M. Moreschi
Publisher : CRC Press
Page : 460 pages
File Size : 49,6 Mb
Release : 1993-01-01
Category : Science
ISBN : 0750302615

Get Book

General Relativity and Gravitation 1992, Proceedings of the Thirteenth INT Conference on General Relativity and Gravitation, held at Cordoba, Argentina, 28 June - July 4 1992 by R.J. Gleiser,C.N. Kozameh,O.M. Moreschi Pdf

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
Page : 339 pages
File Size : 40,7 Mb
Release : 2019-07-04
Category : Science
ISBN : 9781108480826

Get Book

Non-Inertial Frames and Dirac Observables in Relativity by Luca Lusanna Pdf

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.
Page : 221 pages
File Size : 50,6 Mb
Release : 1996
Category : Science
ISBN : 9780821803806

Get Book

The Interface of Knots and Physics by American Mathematical Society Pdf

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.

Author : Prafulla Kumar Behera,Vipin Bhatnagar,Prashant Shukla,Rahul Sinha
Publisher : Springer Nature
Page : 1143 pages
File Size : 52,7 Mb
Release : 2021-05-18
Category : Science
ISBN : 9789813344082

Get Book

XXIII DAE High Energy Physics Symposium by Prafulla Kumar Behera,Vipin Bhatnagar,Prashant Shukla,Rahul Sinha Pdf

This volume presents the peer-reviewed proceedings of the XXIII DAE-BRNS High Energy Physics Symposium 2018, which was held at the Indian Institute of Technology Madras, India, on 10-15 December 2018. Gathering selected contributions, the book highlights the latest developments and research trends in physics, detectors and instrumentation relevant to all branches of particle physics, astroparticle physics and closely related fields. The major topics covered include Standard Model physics, beyond Standard Model physics, neutrino physics, cosmology, formal theory, heavy ion physics & quantum chromodynamics (QCD), particle detectors and future experiments. Given the range of topics discussed, the book will be useful for beginners as well as advanced researchers in the field.

Author : Enno Rudolph,Ion-Olimpiu Stamatescu
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642788086

Get Book

Philosophy, Mathematics and Modern Physics by Enno Rudolph,Ion-Olimpiu Stamatescu Pdf

In recent times a new dialogue has begun between the natural sciences and the humanities. This is particularly true of physics and philosophy, whose sphere of mutual interest expanded significantly with the advent of quantum mechanics. Among other topics, the discussion covers the evolution of theories, the role of mathematics in the physical sciences, the perception and cognition of nature and definitions of space and time. In contrast to the custom of the last two centuries, mathematics - the language of physics - is once again finding a respected place in the discourse of philosophers. The interdisciplinary communication between philosophers, mathematicians and physicists will be given new impetus by the thoughtful and wide-ranging contributions to this book.

Author : Spenta R. Wadia
Publisher : World Scientific
Page : 281 pages
File Size : 40,6 Mb
Release : 2007
Category : Science
ISBN : 9789812700490

Get Book

The Legacy of Albert Einstein by Spenta R. Wadia Pdf

This indispensable volume contains a compendium of articles covering a vast range of topics in physics which were begun or influenced by the works of Albert Einstein: special relativity, quantum theory, statistical physics, condensed matter physics, general relativity, geometry, cosmology and unified field theory. An essay on the societal role of Einstein is included. These articles, written by some of the renowned experts, offer an insider's view of the exciting world of fundamental science.

Author : Gianluca Calcagni
Publisher : Springer
Page : 843 pages
File Size : 47,9 Mb
Release : 2017-01-06
Category : Science
ISBN : 9783319411279

Get Book

Classical and Quantum Cosmology by Gianluca Calcagni Pdf

This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.