liceoartisticolisippo-ta
» » Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics)

Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics) ebook

by P. C. W. Davies,N. D. Birrell


Quantum field theory in flat spacetime is difficult enough, and it is still not entirely understood from a mathematical perspective. Even the physics of interacting quantum fields is still poorly understood in flat spacetime, especially in its ability to predict a bound state

Quantum field theory in flat spacetime is difficult enough, and it is still not entirely understood from a mathematical perspective. Even the physics of interacting quantum fields is still poorly understood in flat spacetime, especially in its ability to predict a bound state.

Cambridge Core - Cosmology, Relativity and Gravitation - Quantum Fields in Curved Space - by N. D. Birrell. Anderson, Paul R. 1984. N. Birrell, P. C. W. Davies. Online ISBN: 9780511622632

Cambridge Core - Cosmology, Relativity and Gravitation - Quantum Fields in Curved Space - by N. Effects of quantum fields on singularities and particle horizons in the early universe. Online ISBN: 9780511622632.

This in turn has a relationship to a non-linear B field contribution in early universe cosmology whose consequences are explored and delineated. If there is a multiverse, the graviton mass is non-zero. Through arguments given in the document, the scale factor is also then, non-zero, which also portends to having the graviton not equal to zero if there is a corresponding initial non-linear B field, in the set up of the multiverse cosmology. If the Graviton has zero mass, this corresponds to a single repeating universe, with different morphology.

Quantum field theory in curved spacetime. Quantum Fields in Curved Space Número 7 de Cambridge Monographs on Mathematical Physics, ISSN 0269-8242. 34. Flat spacetime examples. Davies has also has written many books for the general reader in the fascinating fields of cosmology and physics. He is the author of over twenty-five books, including The Mind of God, Other Worlds, God and the New Physics, The Edge of Infinity, The Cosmic Blueprint, Are We Alone?, The Fifth Miracle, The Last Three Minutes, About Time, and How to Build a Time Machine. Birrell, Nicholas David Birrell, P. Davies, Paul Davies.

Birrell and Paul Davies. Publisher:Cambridge University Press.

D. Cambridge University Press, Feb 23, 1984 - Science. 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. Cambridge University Press, 1984. 1107392810, 9781107392816.

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

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. All the major technical results are presented, and the theory is developed carefully from first principles.

Start by marking Quantum Fields in Curved Space as Want to Read .

Start by marking Quantum Fields in Curved Space as Want to Read: Want to Read savin. ant to Read.

Items related to Quantum Fields in Curved Space (Cambridge .

Items related to Quantum Fields in Curved Space (Cambridge Monographs. Birrell Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics). ISBN 13: 9780521278584. ISBN 10: 0521278589 ISBN 13: 9780521278584.

Author : N. Birrell,P. Publisher : Cambridge University Press.

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.
Kerdana
Of Stephen W. Hawking, we read:
"... his study of quantum black holes and the discovery of their thermal emission is a cornerstone of this book."
Thus, I take this opportunity to lament the passing, and honor the legacy of:
Stephen W. Hawking (8 January 1942--14 March 2018).

How appropriate it is that Cambridge University Press brought forth this publication nearly ten years after Hawking and Ellis' classic monograph.
How appropriate it is that two exceptional Cambridge University Press publications--Nonequilibrium Quantum Field Theory (2008, Calzetta and Hu) and Quantum Field Theory in Curved SpaceTime (2009, Parker and Toms)--refer to this book of Birrell and Davies.
It is, and remains, a Classic.
(1) If you are familiar with Physicist Paul Davies, you already know that his writing style is exemplary. This monograph is no exception.
While the content is technical, the physical explanations are lucidly expounded. Indeed, read the Preface: "The treatment is intended to be both pedagogical and archival." On both accounts, a goal admirably achieved.
(2) If perusing the book, keep in mind: the conventions for metric are opposite (+,-,-,-) to Misner, Thorne, Wheeler (-,+,+,+). Also, the paperback
printing (1984) has corrections and a brief update to the Preface regards interacting fields. This book has a rich--ten page--Reference list, an invaluable asset. Prerequisites to the book are an acquaintance with Track One of MTW and the simpler aspects of Bjorken and Drell.
(3) What do we find here ? " An exhaustive account of regularization and renormalization techniques." This, Chapter Six, an invaluable asset !
"...only in exceptional circumstances does the particle concept in curved space quantum field theory correspond closely to the intuitive physical picture of a subatomic particle." (page 150). That is a point which is re-visited time and time again in this monograph. Of course, this a point which
is also emphasized in Wald's 1994 text, Quantum Field Theory in Curved SpaceTime and Black Hole Thermodynamics (see, page 60).
(4) The exceptional Sixth Chapter is preceded by the exceptional Third Chapter: "...the high-frequency behavior of the field is independent of the quantum state or the global structure of the spacetime, and depends purely on the local geometry." (page 36). An interesting aside introduces the tetrad (or, vierbein) formalism (page 83).
(5) Pedagogic features include: Thermal and Conformal relationships between various spacetimes (page 141). An interesting aside regarding Feynman path integrals and Schwinger variational principle (page 155), we learn " Path-integral quantization still works in curved spacetime."
At various points in the discussion, we meet Topological considerations (including Casimir effect, pages 88, 100). We read " Energy is a source of gravity and will bring about the very spacetime curvature whose effects we are trying to study. It simply cannot be thrown away--we are not free to rescale the zero-point of energy." (page 152).
(6) Regards technicalities: Utilize Bogolubov transformations, Green's functions, analytic continuation, zeta-function regularization, Fock space and LSZ. Again, it is emphasized that " this instability is not due to different definitions of positive frequency, but rather to the lack of Poincare invariance in curved spacetime." (page 296). Paul Roman's interesting text of Introductory Quantum Field Theory (1969, Wiley) is referenced. Finally, read:
"The combined effect of topology, nonzero temperature and curvature on theories involving spontaneously broken symmetries is likely to have been of considerable importance in the early stages of the evolution of the universe." (page 321).
This is an exceptionally pedagogic text. It is well-written. It is both introductory and advanced.
The monograph has been cited more than eight-thousand times, this, for good reason--it is still relevant !
Highly recommended as a rich source of insight and inspiration (as with Hawking and Ellis).
Alister
At the time of publication of this book, there was growing interest in how to formulate quantum field theory in spactimes with curved metrics with the intent of studying to what extent a non-flat curvature would change the properties and behavior of quantum fields as compared to the Minkowski case.The authors give an introduction to this research and they do a good job in that regard. Due to the influence of superstring and M-theory on high energy physics at the present time, fewer researchers are studying the problems as they are cast in this book. On the other hand, interest in the Casimir effect and the behavior of quantum fields at boundaries is still very much alive. This book could still be use to motivate this research. It is expected that anyone reading this book will have a background in quantum field theory in flat space, but one could still perhaps read it without such a background.
Quantum field theory in flat spacetime is difficult enough, and it is still not entirely understood from a mathematical perspective. Even the physics of interacting quantum fields is still poorly understood in flat spacetime, especially in its ability to predict a bound state. Therefore, it might seem a bit disconcerting to some for researchers to add further complications to quantum field theory by casting them in curved backgrounds. However, cosmological and astrophysical interests drives this research, as well as more practical considerations arising from the Casimir effect.
The renormalization procedures in quantum field theory are further complicated in curved spacetime via the "trace" or "conformal" anomalies. The reader gets a good dose of these in the book in the discussion on the renormalization of the stress. The idea of an "effective" action, which has been exploited with zeal in the flat spacetime case, appears here also.

The most important thing to carry away from this book is that the idea of a particle in curved space quantum field theory is not very well-formulated, i.e. particle detectors in such situations are not related to the quantity of matter present in a region as they are in the flat-space case. Doing quantum field theory when gravity is present has instigated a huge amount of research, related to the still unsolved problem of just how to quantize the gravitational field.
Rivik
One of the better books on quantum fields that I have read so far. An especially good treatment of the Casimir effect and boudary terms is given. The authors have a wonderfully conversive manner of discourse which I enjoyed very much.
Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics) ebook
Author:
P. C. W. Davies,N. D. Birrell
Category:
Physics
Subcat:
EPUB size:
1321 kb
FB2 size:
1903 kb
DJVU size:
1619 kb
Language:
Publisher:
Cambridge University Press; 1 edition (April 30, 1982)
Pages:
349 pages
Rating:
4.4
Other formats:
mobi lrf azw txt
© 2018-2020 Copyrights
All rights reserved. liceoartisticolisippo-ta.it | Privacy Policy | DMCA | Contacts