Quantum Field Theory On Curved Spacetimes

Author : Christian Bär,Klaus Fredenhagen
Publisher : Springer
Page : 167 pages
File Size : 51,9 Mb
Release : 2009-09-18
Category : Science
ISBN : 9783642027802

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Quantum Field Theory on Curved Spacetimes by Christian Bär,Klaus Fredenhagen Pdf

After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader.

Author : Leonard Parker,David Toms
Publisher : Cambridge University Press
Page : 472 pages
File Size : 55,5 Mb
Release : 2009-08-20
Category : Science
ISBN : 9781139480857

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Quantum Field Theory in Curved Spacetime by Leonard Parker,David Toms Pdf

Quantum field theory in curved spacetime has been remarkably fruitful. It can be used to explain how the large-scale structure of the universe and the anisotropies of the cosmic background radiation that we observe today first arose. Similarly, it provides a deep connection between general relativity, thermodynamics, and quantum field theory. This book develops quantum field theory in curved spacetime in a pedagogical style, suitable for graduate students. The authors present detailed, physically motivated, derivations of cosmological and black hole processes in which curved spacetime plays a key role. They explain how such processes in the rapidly expanding early universe leave observable consequences today, and how in the context of evaporating black holes, these processes uncover deep connections between gravitation and elementary particles. The authors also lucidly describe many other aspects of free and interacting quantized fields in curved spacetime.

Author : Stephen A. Fulling
Publisher : Cambridge University Press
Page : 332 pages
File Size : 41,5 Mb
Release : 1989-08-24
Category : Mathematics
ISBN : 0521377684

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Aspects of Quantum Field Theory in Curved Spacetime by Stephen A. Fulling Pdf

The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.

Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 221 pages
File Size : 52,8 Mb
Release : 1994-11-15
Category : Science
ISBN : 9780226870274

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Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics by Robert M. Wald Pdf

In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory. In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory. He also provides a comprehensive, up-to-date account of the Unruh effect, the Hawking effect, and some of its ramifications. In particular, the subject of black hole thermodynamics, which remains an active area of research, is treated in depth. This book will be accessible to students and researchers who have had introductory courses in general relativity and quantum field theory, and will be of interest to scientists in general relativity and related fields.

Author : N. D. Birrell,P. C. W. Davies
Publisher : Cambridge University Press
Page : 362 pages
File Size : 42,7 Mb
Release : 1984-02-23
Category : Science
ISBN : 9781107392816

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Quantum Fields in Curved Space by N. D. Birrell,P. C. W. Davies Pdf

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.

Author : Thomas-Paul Hack
Publisher : Springer
Page : 123 pages
File Size : 44,5 Mb
Release : 2015-08-17
Category : Science
ISBN : 9783319218946

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Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes by Thomas-Paul Hack Pdf

This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according to the Standard Model of Cosmology; and a fundamental study of the perturbations in inflation. The two central sections of the book dealing with these applications are preceded by sections providing a pedagogical introduction to the subject. Introductory material on the construction of linear QFTs on general curved spacetimes with and without gauge symmetry in the algebraic approach, physically meaningful quantum states on general curved spacetimes, and the backreaction of quantum fields in curved spacetimes via the semiclassical Einstein equation is also given. The reader should have a basic understanding of General Relativity and QFT on Minkowski spacetime, but no background in QFT on curved spacetimes or the algebraic approach to QFT is required.>

Author : Jurgen Audretsch,V. de Sabbata
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461538141

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Quantum Mechanics in Curved Space-Time by Jurgen Audretsch,V. de Sabbata Pdf

Quantum mechanics and quantum field theory on one hand and Gravity as a theory of curved space-time on the other are the two great conc- tual schemes of modern theoretical physics. For many decades they have lived peacefully together for a simple reason: it was a coexistence wi- out much interaction. There has been the family of relativists and the other family of elementary particle physicists and both sides have been convinced that their problems have not very much to do with the problems of the respective other side. This was a situation which could not last forever, because the two theoretical schemes have a particular structural trait in common: their claim for totality and universality. Namely on one hand all physical theories have to be formulated in a quantum mechanical manner, and on the other hand gravity as curved space-time influences all processes and vice versa. It was therefore only a question of time that physically relevant domains of application would attract a general int- est, which demand a combined application of both theoretical schemes. But it is immediately obvious that such an application of both schemes is - possible if the schemes are taken as they are. Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.

Author : Viatcheslav Mukhanov,Sergei Winitzki
Publisher : Cambridge University Press
Page : 298 pages
File Size : 54,6 Mb
Release : 2007-06-14
Category : Mathematics
ISBN : 0521868343

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Introduction to Quantum Effects in Gravity by Viatcheslav Mukhanov,Sergei Winitzki Pdf

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Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2009
Category : Electronic
ISBN : 1282632221

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Quantum Field Theory on Curved Spacetimes by Anonim Pdf

Author : Kasia Rejzner
Publisher : Springer
Page : 180 pages
File Size : 53,9 Mb
Release : 2016-03-16
Category : Science
ISBN : 9783319259017

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Perturbative Algebraic Quantum Field Theory by Kasia Rejzner Pdf

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.

Author : N. D. Birrell,P. C. W. Davies
Publisher : Cambridge University Press
Page : 362 pages
File Size : 47,9 Mb
Release : 1984-02-23
Category : Science
ISBN : 0521278589

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Quantum Fields in Curved Space by N. D. Birrell,P. C. W. Davies Pdf

Identifies information sources and shows how to develop a job search strategy. Gives valuable advice on job interviews and on how a new employee can keep his job.

Author : Bei-Lok B. Hu,Enric Verdaguer
Publisher : Cambridge University Press
Page : 615 pages
File Size : 48,5 Mb
Release : 2020-03-05
Category : Science
ISBN : 9780521193573

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Semiclassical and Stochastic Gravity by Bei-Lok B. Hu,Enric Verdaguer Pdf

An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.

Author : Stefan Hollands,Ko Sanders
Publisher : Springer
Page : 126 pages
File Size : 50,6 Mb
Release : 2018-10-12
Category : Science
ISBN : 9783319949024

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Entanglement Measures and Their Properties in Quantum Field Theory by Stefan Hollands,Ko Sanders Pdf

This book gives a rigorous treatment of entanglement measures in the general context of quantum field theory. It covers a broad range of models and the use of fields allows us to properly take the localization of systems into account. The required mathematical techniques are introduced in a self-contained way.

Author : Leonard Parker,David Toms
Publisher : Cambridge University Press
Page : 472 pages
File Size : 54,6 Mb
Release : 2009-08-20
Category : Science
ISBN : 9780521877879

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Quantum Field Theory in Curved Spacetime by Leonard Parker,David Toms Pdf

Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.

Author : Romeo Brunetti,Claudio Dappiaggi,Klaus Fredenhagen,Jakob Yngvason
Publisher : Springer
Page : 453 pages
File Size : 43,6 Mb
Release : 2015-09-04
Category : Science
ISBN : 9783319213538

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Advances in Algebraic Quantum Field Theory by Romeo Brunetti,Claudio Dappiaggi,Klaus Fredenhagen,Jakob Yngvason Pdf

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.