Probability distributions for quantum stress tensors in two and four dimensions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Standard

Probability distributions for quantum stress tensors in two and four dimensions. / Fewster, Chris; Ford, L. H.; Roman, Thomas A.

Relativity and Gravitation: 100 years after Einstein in Prague. ed. / Jiří Bičák; Tomáš Ledvinka. Springer US, 2014. p. 489-496 (Springer Proceedings in Physics; Vol. 157).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Harvard

Fewster, C, Ford, LH & Roman, TA 2014, Probability distributions for quantum stress tensors in two and four dimensions. in J Bičák & T Ledvinka (eds), Relativity and Gravitation: 100 years after Einstein in Prague. Springer Proceedings in Physics, vol. 157, Springer US, pp. 489-496. <http://www.springer.com/physics/theoretical,+mathematical+%26+computational+physics/book/978-3-319-06760-5>

APA

Fewster, C., Ford, L. H., & Roman, T. A. (2014). Probability distributions for quantum stress tensors in two and four dimensions. In J. Bičák, & T. Ledvinka (Eds.), Relativity and Gravitation: 100 years after Einstein in Prague (pp. 489-496). (Springer Proceedings in Physics; Vol. 157). Springer US. http://www.springer.com/physics/theoretical,+mathematical+%26+computational+physics/book/978-3-319-06760-5

Vancouver

Fewster C, Ford LH, Roman TA. Probability distributions for quantum stress tensors in two and four dimensions. In Bičák J, Ledvinka T, editors, Relativity and Gravitation: 100 years after Einstein in Prague. Springer US. 2014. p. 489-496. (Springer Proceedings in Physics).

Author

Fewster, Chris ; Ford, L. H. ; Roman, Thomas A. / Probability distributions for quantum stress tensors in two and four dimensions. Relativity and Gravitation: 100 years after Einstein in Prague. editor / Jiří Bičák ; Tomáš Ledvinka. Springer US, 2014. pp. 489-496 (Springer Proceedings in Physics).

Bibtex - Download

@inproceedings{5311ae19c5e54c208be4e3b1afd63de9,
title = "Probability distributions for quantum stress tensors in two and four dimensions",
abstract = "The probability distributions for the smeared energy densities of quantum fields, in the two and four-dimensional Minkowski vacuum are discussed. These distributions share the property that there is a lower bound at a finite negative value, but no upper bound. Thus arbitrarily large positive energy density fluctuations are possible. In two dimensions we are able to give an exact unique analytic form for the distribution. However, in four dimensions, we are not able to give closed form expressions for the probability distribution, but rather use calculations of a finite number of moments to estimate the lower bound, and the asymptotic form of the tail of the distribution. The first 65 moments are used for these purposes. All of our four-dimensional results are subject to the caveat that these distributions are not uniquely determined by the moments. One can apply the asymptotic form of the electromagnetic energy density distribution to estimate the nucleation rates of black holes and of Boltzmann brains. ",
author = "Chris Fewster and Ford, {L. H.} and Roman, {Thomas A.}",
year = "2014",
language = "English",
isbn = "9783319067612",
series = "Springer Proceedings in Physics",
publisher = "Springer US",
pages = "489--496",
editor = "Ji{\v r}{\'i} Bi{\v c}{\'a}k and Tom{\'a}{\v s} Ledvinka",
booktitle = "Relativity and Gravitation",
address = "United States",

}

RIS (suitable for import to EndNote) - Download

TY - GEN

T1 - Probability distributions for quantum stress tensors in two and four dimensions

AU - Fewster, Chris

AU - Ford, L. H.

AU - Roman, Thomas A.

PY - 2014

Y1 - 2014

N2 - The probability distributions for the smeared energy densities of quantum fields, in the two and four-dimensional Minkowski vacuum are discussed. These distributions share the property that there is a lower bound at a finite negative value, but no upper bound. Thus arbitrarily large positive energy density fluctuations are possible. In two dimensions we are able to give an exact unique analytic form for the distribution. However, in four dimensions, we are not able to give closed form expressions for the probability distribution, but rather use calculations of a finite number of moments to estimate the lower bound, and the asymptotic form of the tail of the distribution. The first 65 moments are used for these purposes. All of our four-dimensional results are subject to the caveat that these distributions are not uniquely determined by the moments. One can apply the asymptotic form of the electromagnetic energy density distribution to estimate the nucleation rates of black holes and of Boltzmann brains.

AB - The probability distributions for the smeared energy densities of quantum fields, in the two and four-dimensional Minkowski vacuum are discussed. These distributions share the property that there is a lower bound at a finite negative value, but no upper bound. Thus arbitrarily large positive energy density fluctuations are possible. In two dimensions we are able to give an exact unique analytic form for the distribution. However, in four dimensions, we are not able to give closed form expressions for the probability distribution, but rather use calculations of a finite number of moments to estimate the lower bound, and the asymptotic form of the tail of the distribution. The first 65 moments are used for these purposes. All of our four-dimensional results are subject to the caveat that these distributions are not uniquely determined by the moments. One can apply the asymptotic form of the electromagnetic energy density distribution to estimate the nucleation rates of black holes and of Boltzmann brains.

M3 - Conference contribution

SN - 9783319067612

T3 - Springer Proceedings in Physics

SP - 489

EP - 496

BT - Relativity and Gravitation

A2 - Bičák, Jiří

A2 - Ledvinka, Tomáš

PB - Springer US

ER -