Quantum Gravity Quantum Cosmology And Lorentzian Geometries
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Quantum Gravity Quantum Cosmology And Lorentzian Geometries
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Author : Giampiero Esposito
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-01-28
Quantum Gravity Quantum Cosmology And Lorentzian Geometries written by Giampiero Esposito and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-28 with Computers categories.
The first aim of this book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation is to understand whether supersymmetric theories are one-loop finite in the presence of boundaries. The second aim of the book is to present a recent, entirely new study of the singularity problem for space-times with torsion. The book is written in self-contained form. In many cases problems have been initially formulated in the simplest possible way, and finally presented and solved at increasing levels of complexity. Readers will find here a detailed and updated study of quantum cosmology, its motivation, and application to perturbative quantum gravity. Moreover, this is the first book which enables the reader to learn techniques used in classical gravity and quantum cosmology. The second edition adds new material to both the text and the bibliography.
Quantum Gravity Quantum Cosmology And Lorentzian Geometries
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Author : Giampiero Esposito
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-13
Quantum Gravity Quantum Cosmology And Lorentzian Geometries written by Giampiero Esposito and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-13 with Science categories.
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.
Quantum Cosmology The Supersymmetric Perspective Vol 1
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Author : Paulo Vargas Moniz
language : en
Publisher: Springer
Release Date : 2010-07-02
Quantum Cosmology The Supersymmetric Perspective Vol 1 written by Paulo Vargas Moniz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-02 with Science categories.
We read in order to know we are not alone, I once heard, and perhaps it could also be suggested that we write in order not to be alone, to endorse, to promote continuity. The idea for this book took about ten years to materialize, and it is the author’s hope that its content will constitute the beginning of further explorations beyond current horizons. More speci cally, this book appeals to the reader to engage upon and persevere with a journey, moving through the less well explored territories in the evolution of the very early universe, and pushing towards new landscapes. P- haps, during or after consulting this book, this attitude and this willingness will be embraced by someone, somewhere, and this person will go on to enrich our quantum cosmological description of the early universe, by means of a clearer supersymm- ric perspective. It is to these creative and inquisitive ‘young minds’ that the book is addressed. The reader will not therefore nd in this book all the answers to all the problems regarding a supersymmetric and quantum description of the early universe, and this remark is substantiated in the book by a list of unresolved and challenging problems, itself incomplete.
Quantum Cosmology The Supersymmetric Perspective Vol 2
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Author : Paulo Vargas Moniz
language : en
Publisher: Springer
Release Date : 2010-04-02
Quantum Cosmology The Supersymmetric Perspective Vol 2 written by Paulo Vargas Moniz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-02 with Science categories.
We read in order to know we are not alone, I once heard, and perhaps it could also be suggested that we write in order not to be alone, to endorse, to promote continuity. The idea for this book took about 10 years to materialize, and it is the author’s hope that its content will constitute the beginning of further explorations beyond current horizons. More speci cally, this book appeals to the reader to engage upon and persevere with a journey, moving through the less well explored territories in the evolution of the very early universe, and pushing towards new landscapes. P- haps, during or after consulting this book, this attitude and this willingness will be embraced by someone, somewhere, and this person will go on to enrich our quantum cosmological description of the early universe, by means of a clearer supersymm- ric perspective. It is to these creative and inquisitive ‘young minds’ that the book is addressed. The reader will not therefore nd in this book all the answers to all the problems regarding a supersymmetric and quantum description of the early universe, and this remark is substantiated in the book by a list of unresolved and challenging problems, itself incomplete.
Quantum Gravity In 2 1 Dimensions
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Author : Steven Carlip
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-04
Quantum Gravity In 2 1 Dimensions written by Steven Carlip and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-04 with Science categories.
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Dirac Operators And Spectral Geometry
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Author : Giampiero Esposito
language : en
Publisher: Cambridge University Press
Release Date : 1998-08-20
Dirac Operators And Spectral Geometry written by Giampiero Esposito and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-20 with Mathematics categories.
A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students and researchers.
Algebraic Renormalization
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Author : Olivier Piguet
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-11
Algebraic Renormalization written by Olivier Piguet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-11 with Science categories.
The idea of this book originated from two series of lectures given by us at the Physics Department of the Catholic University of Petr6polis, in Brazil. Its aim is to present an introduction to the "algebraic" method in the perturbative renormalization of relativistic quantum field theory. Although this approach goes back to the pioneering works of Symanzik in the early 1970s and was systematized by Becchi, Rouet and Stora as early as 1972-1974, its full value has not yet been widely appreciated by the practitioners of quantum field theory. Becchi, Rouet and Stora have, however, shown it to be a powerful tool for proving the renormalizability of theories with (broken) symmetries and of gauge theories. We have thus found it pertinent to collect in a self-contained manner the available information on algebraic renormalization, which was previously scattered in many original papers and in a few older review articles. Although we have taken care to adapt the level of this book to that of a po- graduate (Ph. D. ) course, more advanced researchers will also certainly find it useful. The deeper knowledge of renormalization theory we hope readers will acquire should help them to face the difficult problems of quantum field theory. It should also be very helpful to the more phenomenology oriented readers who want to famili- ize themselves with the formalism of renormalization theory, a necessity in view of the sophisticated perturbative calculations currently being done, in particular in the standard model of particle interactions.
Spectral Functions In Mathematics And Physics
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Author : Klaus Kirsten
language : en
Publisher: CRC Press
Release Date : 2001-12-13
Spectral Functions In Mathematics And Physics written by Klaus Kirsten and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-13 with Mathematics categories.
The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new,
2d Gravity In Non Critical Strings
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Author : E. Abdalla
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-04
2d Gravity In Non Critical Strings written by E. Abdalla and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-04 with Science categories.
A comprehensive survey of the use of the Liouville (and super-Liouville) equation in (super)string theory outside the critical dimension, and of the complementary approach based on the discretized space-time - known as the matrix model approach. The authors pay particular attention to supersymmetry, both in the continuum formulation and through the consideration of the super-eigenvalue problem. The methods presented here are important in a large number of complex problems, e.g. random surfaces, 2-D gravity and large-N quantum chromodynamics, and this comparitive study of the different methods permits a cross-evaluation of the results when both methods are valid, combined with new predictions when only one of the methods may be applied.
Low Magnetic Fields In Anisotropic Superconductors
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Author : Allan J. Greer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-03
Low Magnetic Fields In Anisotropic Superconductors written by Allan J. Greer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-03 with Technology & Engineering categories.
Superconductors have been known about since the turn ofthe century. Recently there has been a renewed interest with the discovery of the new, high-Tc materials since 1986[1]. These compounds become superconducting at much warmer temperatures than any pre viously known. In fact, many of tthem superconduct at temperatures above the boiling point of liquid nitrogen, making the observation of the transition both accessible and inexpensive. It was obvious immediately that these materials could have a tremendous technological impact, or lead to further materials with even higher transitions. For this reason there has been an intense effort by scientists in both academia and industry to study these materials. The scientificand industrial communitieshope to learn what makes these materials work. For, learning how these materials work not only increases mankind's overall knowledge of his world, but could make some person or company quite successful if the information were used and developed correctly.