Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime

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Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime. / Esposito, Giampiero; Napolitano, George M.

I: Physica Scripta, Bind 90, Nr. 7, 074013, 01.07.2015.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Esposito, G & Napolitano, GM 2015, 'Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime', Physica Scripta, bind 90, nr. 7, 074013. https://doi.org/10.1088/0031-8949/90/7/074013

APA

Esposito, G., & Napolitano, G. M. (2015). Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime. Physica Scripta, 90(7), [074013]. https://doi.org/10.1088/0031-8949/90/7/074013

Vancouver

Esposito G, Napolitano GM. Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime. Physica Scripta. 2015 jul. 1;90(7). 074013. https://doi.org/10.1088/0031-8949/90/7/074013

Author

Esposito, Giampiero ; Napolitano, George M. / Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime. I: Physica Scripta. 2015 ; Bind 90, Nr. 7.

Bibtex

@article{e302050705284679abd99bda61a902c4,
title = "Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime",
abstract = "Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper studies the difficult problem of direct evaluation of scalar Green functions for a Casimir-type apparatus in de Sitter spacetime. Working to first order in the small parameter of the problem, i.e. twice the gravity acceleration times the plates' separation divided by the speed of light in vacuum, suitable coordinates are considered for which the differential equations obeyed by the zeroth- and first-order Green functions can be solved in terms of special functions. This result can be used, in turn, to obtain, via the point-split method, the regularized and renormalized energy-momentum tensor both in the scalar case and in the physically more relevant electromagnetic case.",
keywords = "Casimir effect, Green function, Quantum gravity",
author = "Giampiero Esposito and Napolitano, {George M.}",
year = "2015",
month = jul,
day = "1",
doi = "10.1088/0031-8949/90/7/074013",
language = "English",
volume = "90",
journal = "Physica Scripta. Topical Issues",
issn = "0281-1847",
publisher = "Institute of Physics Publishing Ltd",
number = "7",

}

RIS

TY - JOUR

T1 - Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime

AU - Esposito, Giampiero

AU - Napolitano, George M.

PY - 2015/7/1

Y1 - 2015/7/1

N2 - Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper studies the difficult problem of direct evaluation of scalar Green functions for a Casimir-type apparatus in de Sitter spacetime. Working to first order in the small parameter of the problem, i.e. twice the gravity acceleration times the plates' separation divided by the speed of light in vacuum, suitable coordinates are considered for which the differential equations obeyed by the zeroth- and first-order Green functions can be solved in terms of special functions. This result can be used, in turn, to obtain, via the point-split method, the regularized and renormalized energy-momentum tensor both in the scalar case and in the physically more relevant electromagnetic case.

AB - Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper studies the difficult problem of direct evaluation of scalar Green functions for a Casimir-type apparatus in de Sitter spacetime. Working to first order in the small parameter of the problem, i.e. twice the gravity acceleration times the plates' separation divided by the speed of light in vacuum, suitable coordinates are considered for which the differential equations obeyed by the zeroth- and first-order Green functions can be solved in terms of special functions. This result can be used, in turn, to obtain, via the point-split method, the regularized and renormalized energy-momentum tensor both in the scalar case and in the physically more relevant electromagnetic case.

KW - Casimir effect

KW - Green function

KW - Quantum gravity

U2 - 10.1088/0031-8949/90/7/074013

DO - 10.1088/0031-8949/90/7/074013

M3 - Journal article

AN - SCOPUS:84938488472

VL - 90

JO - Physica Scripta. Topical Issues

JF - Physica Scripta. Topical Issues

SN - 0281-1847

IS - 7

M1 - 074013

ER -

ID: 194769435