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Cited by 51

The DOI matches its Crossref record; 42 of the 42 references it cites were found in a registry or an index.

Regularization dependence of vacuum energy in arbitrarily shaped cavities

Cognola, Guido, Vanzo, Luciano, Zerbini, Sergio·1992·Journal of Mathematical Physics
DOI 10.1063/1.529948
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Abstract

The vacuum energy for a free scalar field in the case of an arbitrarily shaped cavity is discussed. A complete analysis of the divergences is presented and some regularization schemes are analyzed in some detail. The vacuum energy for a free scalar field defined on an ultrastatic three-dimensional space-time R×𝒮, 𝒮 being a compact Riemann surface of genus greater than unity, is explicitly computed using the Selberg trace formula. As a result, a negative vacuum energy is found.

Overview

Integrity signals

Registry

Crossref · 10.1063/1.529948

Cites

42 of 42 references verified0 citation errors · 0 not checkable

Statistics

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Verification

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Citations

Cites

Research works printed but not linked: 4

  1. 1980, Phys. Rev. D, 22, 1441
  2. 1973, Phys. Rev. D., 7, 2850
  3. 1969, Am. J. Math, 9, 889
  4. 1967, J. Diff. Geom., 1, 43

Cited by

See all 51

Metadata

Authors
Cognola, G., Vanzo, L., & Zerbini, S.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1992-01-01
Volume
33
Issue
1
Pages
222-228
ISSN
  • 0022-2488
  • 1089-7658
DOI
10.1063/1.529948
Cited by
51
References
42
Language
en

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

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Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.