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
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.
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“In the case of ultrastatic spacetime, one may regularize directiy the vacuum energy.”
From The Casimir effect for a class of hyperbolic (D+1)-dimensional spacetimes (1992) · cites this paper as [2]
Citations
Cites
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McKean, Jr., & Singer, I. M. (1967) · Journal of Differential Geometry · doi:10.4310/jdg/1214427880 · Cited by 930
The Selberg Trace Formula for PSL(2,ℝ)
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Research works printed but not linked: 4
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- 1973, Phys. Rev. D., 7, 2850
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Cited by
The Casimir effect for a class of hyperbolic (D+1)-dimensional spacetimes
Bytsenko, A. A., & Zerbini, S. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/5/017 · Cited by 16
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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
- Cited by
- 51
- References
- 42
- Language
- en
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- Cognola, G., Vanzo, L., & Zerbini, S. (1992). Regularization dependence of vacuum energy in arbitrarily shaped cavities. Journal of Mathematical Physics. https://doi.org/10.1063/1.529948
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