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Books on the topic 'Quantum field theory; Curved spacetime'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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1

Parker, Leonard Emanuel. Quantum field theory in curved spacetime: Quantized fields and gravity. Cambridge: Cambridge University Press, 2009.

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2

Bär, Christian, and Klaus Fredenhagen, eds. Quantum Field Theory on Curved Spacetimes. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02780-2.

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3

Wald, Robert M. Quantum field theory in curved spacetime and black hole thermodynamics. Chicago: University of Chicago Press, 1994.

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4

Quantum field theory in curved spacetime and black hole thermodynamics. Chicago: University of Chicago Press, 1994.

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5

Quantum field theory on curved spacetimes: Concepts and mathematical foundations. Dordrecht: Springer, 2009.

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6

Hack, Thomas-Paul. Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21894-6.

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7

Aspects of quantum field theory in curved space-time. Cambridge: Cambridge University Press, 1989.

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8

NATO Advanced Research Workshop on Quantum Mechanics in Curved Space-Time (1989 Erice, Italy). Quantum mechanics in curved space-time. New York: Plenum Press, 1990.

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9

Prugovečki, Eduard. Stochastic quantum mechanics and quantum spacetime: Consistent unification of relativity and quantum theory based on stochastic spaces. Dordrecht [Holland]: D. Reidel Pub. Co., 1986.

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10

Matolcsi, Tamás. Spacetime without reference frames. Budapest: Akadémiai Kiadó, 1993.

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11

Buchbinder, I. L. Renormalization group approach to quantum field theory in curved space-time. Bologna: Editrice Compositori, 1989.

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12

Harmonic maps and differential geometry: A harmonic map fest in honour of John C. Wood's 60th birthday, September 7-10, 2009, Cagliari, Italy. Providence, R.I: American Mathematical Society, 2011.

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13

(Editor), L. Parker, ed. Quantum Field Theory in Curved Spacetime: Fundamentals. World Scientific Pub Co Inc, 1996.

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14

(Editor), L. Parker, ed. Quantum Field Theory in Curved Spacetime: Fundamentals. World Scientific Pub Co Inc, 1996.

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15

Agnew, Alfonso F. Distributional modes for quantum field theory in curved spacetimes. 1999.

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16

Principles and Applications of Quantum Field Theory in Curved Spacetime (Cambridge Monographs on Mathematical Physics). Cambridge University Press, 2008.

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17

Buchbinder, Iosif L., and Ilya Shapiro. Introduction to Quantum Field Theory with Applications to Quantum Gravity. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198838319.001.0001.

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This book focuses on quantum field theory and its application to gravitational physics, in both semiclassical and full quantum frameworks, with special attention paid to renormalization, gauge theories and, especially, effective action formalism. Part I provides both conceptual and technical introductions to quantum field theory, starting from elements of group theory, through classical fields, up to effective action formalism in general gauge theories. Compared to other books on this topic, this book describes the general formalism of renormalization in more detail and pays more attention to gauge theories. Part II discusses basic aspects of quantum field theory in curved spacetime and perturbative quantum gravity. More than half of this part is written with a full exposition of details, including well-explained examples with simple calculations. All chapters include exercises, which range from very simple ones to those requiring small original investigations. The material in the second part was selected on the basis of the “must-know” principle: while detailed expositions are provided for relatively simple techniques and calculations, it is expected that the interested reader will be able to learn more advanced issues independently after learning the basic material and working through the exercises provided. In some cases, when more complicated subjects were discussed, the book only provides references for the original publications, where the reader can find the full details of the calculations used.

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18

Kachelriess, Michael. Quantum fields in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0023.

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After a review of conformal symmetry, this chapter covers the quantisation of fields in curved space-times. It is shown that field operators defined with respect to different vacua are related by a Bogolyubov transformation and that the mixing of positive and negative frequencies determines the amount of particle production. The Unruh effect is explained and it is shown that in a space-time with an event horizon, a thermal spectrum of particles is created close to the horizon.

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19

Baker, David John. The Philosophy of Quantum Field Theory. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199935314.013.33.

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This is an opinionated survey of some interpretive puzzles in quantum field theory. The problem of inequivalent representations is sketched, including its connections with competing accounts of physical equivalence. The controversy between variant formulations of the theory, algebraic versus Lagrangian, is given a conciliatory resolution. Arguments against particles are addressed, demarcating clearly between different forms of particle interpretation. Field interpretations are then considered, including wavefunctional, spacetime state realist and Heisenberg operator realist interpretations. Ruetsche’s coalesced structure interpretation is presented and juxtaposed with an alternative, more traditional view of the theory’s laws and state space. Finally, the CPT theorem is discussed, together with its implications about the nature of spacetime.

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20

Operational Spacetime Interactions And Particles. Springer, 2009.

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21

Crowther, Karen. Effective Spacetime: Understanding Emergence in Effective Field Theory and Quantum Gravity. Springer, 2018.

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22

Crowther, Karen. Effective Spacetime: Understanding Emergence in Effective Field Theory and Quantum Gravity. Springer, 2016.

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23

(Editor), Jurgen Audretsch, and V. de Sabbata (Editor), eds. Quantum Mechanics in Curved Space-Time (NATO Science Series: B:). Springer, 1991.

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24

Rickles, Dean. Covered with Deep Mist. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780199602957.001.0001.

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The problem of quantum gravity is often viewed as the most pressing unresolved problem of modern physics, the ‘holy grail’: our theories of spacetime and matter, described respectively by general relativity (Einstein’s theory of gravitation and spacetime) and quantum mechanics (our best theory of matter and the other forces of nature) resist unification. Covered in Deep Mist provides the first book-length treatment of the history of quantum gravity, focusing on its origins and earliest stages of development until the mid-1950s. Readers will be guided through the impacts on the problem of quantum gravity resulting from changes in the two ingredient theories, quantum theory and general relativity, which were themselves still under construction in the years studied. We examine how several of the core approaches of today were formed in an era when the field was highly unfashionable. The book aims to be accessible to a broad range of readers and goes beyond a merely technical examination to include social and cultural factors involved in the changing fortunes of the field. Suitable for both newcomers and seasoned quantum gravity professionals, the book will shine new light on this century old, unresolved problem.

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25

Maggiore, Michele. Inflation and primordial perturbations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198570899.003.0012.

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Review of inflationary cosmology. Single-field slow-roll inflation. Large-field inflation and small-field inflation. Starobinsky model. Quantum field theory in curved space. Generation of primordial perturbations during inflation. Mukhanov-Sasaki equation. Scalar and tensor perturbations.

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26

Kachelriess, Michael. Global symmetries and Noether’s theorem. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0005.

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Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.

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