A semiclassical approach to quantum gravity
Author | : Hadi Salehi |
Publisher | : |
Total Pages | : 14 |
Release | : 1991 |
Genre | : |
ISBN | : |
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Author | : Hadi Salehi |
Publisher | : |
Total Pages | : 14 |
Release | : 1991 |
Genre | : |
ISBN | : |
Author | : Bei-Lok B. Hu |
Publisher | : Cambridge University Press |
Total Pages | : 615 |
Release | : 2020-03-05 |
Genre | : Science |
ISBN | : 0521193575 |
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
Author | : Bei-Lok B. Hu |
Publisher | : Cambridge University Press |
Total Pages | : 615 |
Release | : 2020-03-05 |
Genre | : Science |
ISBN | : 1108854141 |
The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of space-time, the latter, the microscopic constituents of matter. Combining the two yields quantum field theory in curved space-time, which is needed to understand quantum field processes in the early universe and black holes, such as the well-known Hawking effect. This book examines the effects of quantum field processes back-reacting on the background space-time which become important near the Planck time (10-43 sec). It explores the self-consistent description of both space-time and matter via the semiclassical Einstein equation of semiclassical gravity theory, exemplified by the inflationary cosmology, and fluctuations of quantum fields which underpin stochastic gravity, necessary for the description of metric fluctuations (space-time foams). Covering over four decades of thematic development, this book is a valuable resource for researchers interested in quantum field theory, gravitation and cosmology.
Author | : Sabine Hossenfelder |
Publisher | : Springer |
Total Pages | : 121 |
Release | : 2017-11-15 |
Genre | : Science |
ISBN | : 3319645374 |
This book summarizes recent developments in the research area of quantum gravity phenomenology. A series of short and nontechnical essays lays out the prospects of various experimental possibilities and their current status. Finding observational evidence for the quantization of space-time was long thought impossible. In the last decade however, new experimental design and technological advances have changed the research landscape and opened new perspectives on quantum gravity. Formerly dominated by purely theoretical constructions, quantum gravity now has a lively phenomenology to offer. From high precision measurements using macroscopic quantum oscillators to new analysis methods of the cosmic microwave background, no stone is being left unturned in the experimental search for quantum gravity. This book sheds new light on the connection of astroparticle physics with the quantum gravity problem. Gravitational waves and their detection are covered. It illustrates findings from the interconnection between general relativity, black holes and Planck stars. Finally, the return on investment in quantum-gravitation research is illuminated. The book is intended for graduate students and researchers entering the field.
Author | : Herbert W. Hamber |
Publisher | : Springer Science & Business Media |
Total Pages | : 342 |
Release | : 2008-10-20 |
Genre | : Science |
ISBN | : 354085293X |
"Quantum Gravitation" approaches the subject from the point of view of Feynman path integrals, which provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. It is shown that the path integral method is suitable for both perturbative as well as non-perturbative studies, and is already known to offer a framework for the theoretical investigation of non-Abelian gauge theories, the basis for three of the four known fundamental forces in nature. The book thus provides a coherent outline of the present status of the theory gravity based on Feynman’s formulation, with an emphasis on quantitative results. Topics are organized in such a way that the correspondence to similar methods and results in modern gauge theories becomes apparent. Covariant perturbation theory are developed using the full machinery of Feynman rules, gauge fixing, background methods and ghosts. The renormalization group for gravity and the existence of non-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models. The final chapter addresses contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2003 |
Genre | : |
ISBN | : |
A teoria da gravidade quântica em laços (loop quantum gravity ou LQG) é atualmente uma das mais promissoras abordagens para descrever a relatividade geral em termos quânticos. Um dos problemas-chave é detectar na teoria quântica estados semiclássicos, que apresentem propriedades macroscópicas iguais às de configurações específicas da teoria clássica. Nesta dissertação, começamos apresentando o formalismo da LQG e sua interpretação física. Do ponto de vista matemático, a LQG pode ser pensada como uma quantização canônica de uma teoria de gauge de SU(2) em uma 3-variedade. No entanto, diferentemente da abordagem usual, que gera uma representação apenas por operadores auto-adjuntos, a abordagem polimérica da LQG gera uma representação mista que usa operadores auto-adjuntos e unitários. Tomamos então um modelo polimérico, análogo à LQG, do sistema físico mais simples: o movimento unidimensional de uma partícula pontual. Neste contexto, desenvolvemos um arcabouço que resolve o problema dos estados semiclássicos, que são estudados em detalhe. Finalmente, consideramos a quantização polimérica do campo eletromagnético livre, resultando numa teoria abeliana muito similar à LQG. Neste contexto, o mesmo arcabouço desenvolvido para o caso anterior pode ser aplicado.
Author | : Iosif L. Buchbinder |
Publisher | : Oxford University Press |
Total Pages | : 464 |
Release | : 2021-03-01 |
Genre | : Science |
ISBN | : 0192575317 |
Applications of quantum field theoretical methods to gravitational physics, both in the semiclassical and the full quantum frameworks, require a careful formulation of the fundamental basis of quantum theory, with special attention to such important issues as renormalization, quantum theory of gauge theories, and especially effective action formalism. The first part of this graduate textbook provides both a conceptual and technical introduction to the theory of quantum fields. The presentation is consistent, starting from elements of group theory, classical fields, and moving on to the effective action formalism in general gauge theories. Compared to other existing books, the general formalism of renormalization in described in more detail, and special attention paid to gauge theories. This part can serve as a textbook for a one-semester introductory course in quantum field theory. In the second part, we discuss basic aspects of quantum field theory in curved space, and perturbative quantum gravity. More than half of Part II is written with a full exposition of details, and includes elaborated examples of simplest calculations. All chapters include exercises ranging from very simple ones to those requiring small original investigations. The selection of material of the second part is done using the “must-know” principle. This means we included detailed expositions of relatively simple techniques and calculations, expecting that the interested reader will be able to learn more advanced issues independently after working through the basic material, and completing the exercises.
Author | : Claus Kiefer |
Publisher | : Oxford University Press |
Total Pages | : 406 |
Release | : 2012-04-05 |
Genre | : Mathematics |
ISBN | : 0199585202 |
Quantum theory and Einstein's theory of relativity are at the centre of modern theoretical physics, yet, the consistent unification of both theories is still elusive. This book offers an up-to-date introduction into the attempts to construct a unified theory of "quantum gravity".
Author | : Claus Kiefer |
Publisher | : OUP Oxford |
Total Pages | : 376 |
Release | : 2007-02-22 |
Genre | : Science |
ISBN | : 019921252X |
The search for a quantum theory of the gravitational field is one of the great open problems in theoretical physics. This book presents a self-contained discussion of the concepts, methods and applications that can be expected in such a theory. The two main approaches to its construction -- the direct quantisation of Einstein's general theory of relativity and string theory -- are covered. Whereas the first attempts to construct a viable theory for the gravitational field alone,string theory assumes that a quantum theory of gravity will be achieved only through a unification of all the interactions. However, both employ the general method of quantization of constrained systems, which is described together with illustrative examples relevant for quantum gravity. There is adetailed presentation of the main approaches employed in quantum general relativity: path-integral quantization, the background-field method and canonical quantum gravity in the metric, connection and loop formulations. The discussion of string theory centres around its quantum-gravitational aspects and the comparison with quantum general relativity. Physical applications discussed at length include the quantization of black holes, quantum cosmology, the indications of a discrete structure ofspacetime, and the origin of irreversibility.The second edition will add some sections on topical issues. These include loop quantum cosmology, dynamical triangulation, renormalization-group approach, primordial black holes, and information-loss problem for black holes. The second edition will also contain some pedagogical extensions.This book will be of interest to researchers and students working in relativity and gravitation, cosmology, quantum field theory and related topics. It will also be of interest to mathematicians and philosophers of science.
Author | : David C. Moore |
Publisher | : Nova Publishers |
Total Pages | : 282 |
Release | : 2006 |
Genre | : Science |
ISBN | : 9781594546709 |
Quantum gravity is the field of theoretical physics attempting to unify the theory of quantum mechanics, which describes three of the fundamental forces of nature, with general relativity, the theory of the fourth fundamental force: gravity. The ultimate goal is a unified framework for all fundamental forces -- a theory of everything. This book examines state-of-art research in this field.