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Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics

Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics
Author: Robert M. Wald
Publisher: University of Chicago Press
Total Pages: 221
Release: 1994-11-15
Genre: Science
ISBN: 0226870278

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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.


Quantum Fields in Curved Space

Quantum Fields in Curved Space
Author: N. D. Birrell
Publisher: Cambridge University Press
Total Pages: 362
Release: 1984-02-23
Genre: Science
ISBN: 1107392810

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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.


Quantum Field Theory in Curved Spacetime

Quantum Field Theory in Curved Spacetime
Author: Leonard Parker
Publisher: Cambridge University Press
Total Pages: 472
Release: 2009-08-20
Genre: Science
ISBN: 1139480855

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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.


Black Hole Information and Thermodynamics

Black Hole Information and Thermodynamics
Author: Dieter Lüst
Publisher: Springer
Total Pages: 116
Release: 2019-01-25
Genre: Science
ISBN: 3030109194

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Based on Prof. Lüst's Masters course at the University of Munich, this book begins with a short introduction to general relativity. It then presents black hole solutions, and discusses Penrose diagrams, black hole thermodynamics and entropy, the Unruh effect, Hawking radiation, the black hole information problem, black holes in supergravity and string theory, the black hole microstate counting in string theory, asymptotic symmetries in general relativity, and a particular quantum model for black holes. The book offers an up-to-date summary of all the pertinent questions in this highly active field of physics, and is ideal reading for graduate students and young researchers.


Lectures on Quantum Gravity

Lectures on Quantum Gravity
Author: Andres Gomberoff
Publisher: Springer Science & Business Media
Total Pages: 370
Release: 2005-05-13
Genre: Science
ISBN: 9780387239958

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The 2002 Pan-American Advanced Studies Institute School on Quantum Gravity was held at the Centro de Estudios Cientificos (CECS),Valdivia, Chile, January 4-14, 2002. The school featured lectures by ten speakers, and was attended by nearly 70 students from over 14 countries. A primary goal was to foster interaction and communication between participants from different cultures, both in the layman’s sense of the term and in terms of approaches to quantum gravity. We hope that the links formed by students and the school will persist throughout their professional lives, continuing to promote interaction and the essential exchange of ideas that drives research forward. This volume contains improved and updated versions of the lectures given at the School. It has been prepared both as a reminder for the participants, and so that these pedagogical introductions can be made available to others who were unable to attend. We expect them to serve students of all ages well.


Introduction to Quantum Effects in Gravity

Introduction to Quantum Effects in Gravity
Author: Viatcheslav Mukhanov
Publisher: Cambridge University Press
Total Pages: 298
Release: 2007-06-14
Genre: Mathematics
ISBN: 9780521868341

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Aspects of Quantum Field Theory in Curved Spacetime

Aspects of Quantum Field Theory in Curved Spacetime
Author: Stephen A. Fulling
Publisher: Cambridge University Press
Total Pages: 332
Release: 1989-08-24
Genre: Mathematics
ISBN: 9780521377683

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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.


Quantum Mechanics in Curved Space-Time

Quantum Mechanics in Curved Space-Time
Author: Jurgen Audretsch
Publisher: Springer Science & Business Media
Total Pages: 555
Release: 2012-12-06
Genre: Science
ISBN: 1461538149

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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.


Space, Time, and Gravity

Space, Time, and Gravity
Author: Robert M. Wald
Publisher: University of Chicago Press
Total Pages: 176
Release: 1992-05
Genre: Science
ISBN: 9780226870281

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Writing for the general reader or student, Wald has completely revised and updated this highly regarded work to include recent developments in black hole physics and cosmology. Nature called the first edition "a very readable and accurate account of modern relativity physics for the layman within the unavoidable constraint of almost no mathematics. . . . A well written, entertaining and authoritative book."


Flat and Curved Space-times

Flat and Curved Space-times
Author: George Francis Rayner Ellis
Publisher: Clarendon Press
Total Pages: 394
Release: 2000
Genre: Mathematics
ISBN: 9780198506560

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This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.