The Fulling-Davies-Unruh effect

Authors

DOI:

https://doi.org/10.47456/Cad.Astro.v4n2.42121

Keywords:

Unruh effect, Hawking radiation, quantum field theory

Abstract

This text (revised and upgraded) is based on graduate lectures given the author at the Côte d’Azur University on ``Different Aspects of General Relativity''. These lectures were part of a project aiming to integrate the group VIRGO in Nice (occurred in 1996), which was previously in Saclay. The present text is addressed to the Fulling-Davies-Unruh effect and its connection with the Hawking radiation, despite that both phenomena are distinct processes. The understanding of the Fulling-Davies-Unruh effect is fundamental in the field quantization on curved spacetimes, the main objective of this article.

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References

S. Hawking, Particle creation by black holes, Comm. Math. Phys 43, 199 (1975).

S. A. Fulling, Nonuniqueness of canonical field quantization in Riemannian space-time, Physical Review D 7(10), 2850 (1973).

P. Davies, Scalar production in Schwarzschild and Rindler metrics, Journal of Physics A: Mathematical and General 8(4), 609 (1975).

W. Unruh, Notes on black hole evaporation, Phys. Rev. D 14, 870 (1976).

S. W. Hawking, Black hole explosions?, Nature 248(5443), 30 (1974).

K. Fredenhagen e . R. Haag, On the derivation of Hawking radiation associated with the formation of a black hole, Comm. Math. Phys 127, 273 (1990).

M. Parikh e . F. Wilczek, Hawking radiation as tunneling, Phys. Rev. Lett 85, 5042 (2000).

R. Banerjee, B. Majhi e . Samanta, Noncommutative black hole thermodynamics, Phys. Rev. D 77, 124035 (2008).

W. G. Unruh e R. M. Wald, What happens when an accelerating observer detects a Rindler particle, Physical Review D 29(6), 1047 (1984).

M. Lynch, Notes on the experimental observation of the Unruh effect, Essay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitation (2022).

B. S. Kay e R. M. Wald, Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasi-free states on spacetimes with a bifurcate Killing horizon, Physics Reports 207(2), 49 (1991).

S. Takagi, Vacuum noise and stress induced by uniform acceleration, Progress of Theoretical Physics Supplement 88, 1 (1986).

T. Fulton e F. Rohrlich, Classical radiation from a uniformly accelerated charge, Annals of Physics 9(4), 499 (1960).

D. G. Boulware, Radiation from a uniformly accelerated charge, Annals of Physics 124(1), 168 (1980).

S. Y. Lin, Classical correspondence of Unruh effect (2001). ArXiv:gr-qc/0105051.

K. Mcdonald, The Hawking-Unruh temperature and quantum fluctuations in particle accelerators (2000). ArXiv:physics/0003060.

J. Bell e J. Leinaas, The Unruh effect and quantum fluctuations of electrons in storage rings, Nucl. Phys. B 284, 488 (1987).

P. Chen e T. Tajima, Testing Unruh radiation with ultraintense lasers, Phys. Rev. Lett 83(2), 256 (1999).

A. A. Sokolov e I. M. Ternov, On polarization and spin effects in the theory of synchrotron radiation, Sov. Phys. Dokl 8, 1203 (1964). Disponível em https://www. mathnet.ru/eng/dan28897, acesso em ago. 2023.

J. Bell e J. Leinaas, Electrons as accelerated thermometers, Nuclear Physics B 212(1), 131 (1983).

E. Akhmedov e D. Singleton, On the relation between Unruh and Sokolov-Ternov effects, International Journal of Modern Physics A 22(26), 4797 (2007).

B. Dewitt, Quantum gravity: the new synthesis , in General Relativity: An Einstein Centenary Survey, editado por S. W. Hawking e W. Israel (Cambridge University Press, 1979), 680.

J. Hu et al., Quantum simulation of Unruh radiation, Nature Physics 15(8), 785 (2019).

V. L. Ginzburg e S. I. Syrovatski ̆ı, Cosmic Magnetic Bremsstrahlung (Synchrotron Radiation), Soviet Physics Uspekhi 8(5), 674 (1966).

R. Müller, Decay of accelerated particles, Phys. Rev. D 56(2), 953 (1997).

D. A. T. Vanzella e G. E. A. Matsas, Decay of accelerated protons and the existence of the Fulling-Davies-Unruh effect, Physical Review Letters 87(15), 151301 (2001).

D. A. T. Vanzella e G. E. A. Matsas, Weak decay of uniformly accelerated protons and related processes, Physical Review D 63(1), 014010 (2001).

Published

08-09-2023

How to Cite

[1]
J. A. F. Pacheco, “The Fulling-Davies-Unruh effect”, Cad. Astro., vol. 4, no. 2, pp. 135–143, Sep. 2023.