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Books on the topic 'QFT in curved spacetime'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Collas, Peter, and David Klein. The Dirac Equation in Curved Spacetime. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14825-6.

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2

Baird, Eric. Relativity in curved spacetime: Life without special relativity. Chocolate Tree Books, 2007.

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3

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

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4

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

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5

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

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6

Relativity in Curved Spacetime. Chocolate Tree Books, 2008.

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7

Relativity in Curved Spacetime. Chocolate Tree Books, 2007.

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8

Deruelle, Nathalie, and Jean-Philippe Uzan. Matter in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0043.

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This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion will be ‘free’. That is, it is constrained only by the geometry of the spacetime whose curvature represents the gravitation. The concepts of energy, momentum, and angular momentum follow from the invariance of the solutions of the equations of motion under spatio-temporal translations or rotations. The chapter shows how the action is transformed, no longer under a modification of the field configuration, but instead under a displacement or, in the ‘passive’ version, under a translation of the coordinate grid in the opposite direction.

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9

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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10

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

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

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12

Broken Symmetry in Curved Spacetime and Gravity. MDPI, 2020. http://dx.doi.org/10.3390/books978-3-03936-450-3.

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13

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

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14

Blundell, Katherine. 4. Falling into a black hole … Oxford University Press, 2015. http://dx.doi.org/10.1093/actrade/9780199602667.003.0004.

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‘Falling into a black hole … considers what happens near to a black hole and how close is too close to avoid an object being pulled into the black hole. Gravitational redshift arises where spacetime is stretched out or curved by the effect of a black hole and time dilation is the effect of time ‘running more slowly’ moving closer to a black hole. These effects are larger if the black hole mass is larger, and also become more extreme the closer you get to the event horizon. The effect of spin and spin direction on how close particles may encounter the black hole, dynamic spacetime, tidal forces, and particle orbits are also considered.

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15

Blundell, Katherine. 3. Characterizing black holes. Oxford University Press, 2015. http://dx.doi.org/10.1093/actrade/9780199602667.003.0003.

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‘Characterizing black holes’ describes the two different types of black holes: Schwarzschild black holes that do not rotate and Kerr black holes that do. The only distinguishing characteristics of black holes are their mass and their spin. A remarkable feature of a spinning black hole is that the gravitational field pulls objects around the black hole’s axis of rotation, not merely in towards its centre—an effect called frame dragging. The static limit and ergosphere regions of black holes are also described. Einstein’s equations of General Relativity allow many different solutions describing alternative versions of curved spacetime. Could white holes and worm holes exist in our universe?

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16

Emam, Moataz H. Covariant Physics. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198864899.001.0001.

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This book is an introduction to the modern methods of the general theory of relativity, tensor calculus, space time geometry, the classical theory of fields, and a variety of theoretical physics oriented topics rarely discussed at the level of the intended reader (mid-college physics major). It does so from the point of view of the so-called principle of covariance; a symmetry that underlies most of physics, including such familiar branches as Newtonian mechanics and electricity and magnetism. The book is written from a minimalist perspective, providing the reader with only the most basic of notions; just enough to be able to read, and hopefully comprehend, modern research papers on these subjects. In addition, it provides a (hopefully short) preparation for the student to be able to conduct research in a variety of topics in theoretical physics; with particular emphasis on physics in curved spacetime backgrounds. The hope is that students with a minimal mathematical background in calculus and only some introductory courses in physics may be able to study this book and benefit from it.

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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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