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Zeta functions and the Casimir energy
Open accessAbstract
Abstract We use zeta function techniques to give a finite definition for the Casimir energy of an arbitrary ultrastatic spacetime with or without boundaries. We find that the Casimir energy is intimately related to, but not identical to, the one-loop effective energy. We show that in general the Casimir energy depends on a normalization scale. This phenomenon has relevance to applications of the Casimir energy in bag models of QCD. Within the framework of Kaluza-Klein theories we discuss the one-loop corrections to the induced cosmological and Newton constants in terms of a Casimir like effect. We can calculate the dependence of these constants on the radius of the compact dimensions, without having to resort to detailed calculations.
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Cites
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
Cited by
Advances in the Casimir Effect
Bordag, M., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · doi:10.1093/acprof:oso/9780199238743.001.0001 · Cited by 1,284
SAKHAROV'S INDUCED GRAVITY: A MODERN PERSPECTIVE
VISSER, M. (2002) · Modern Physics Letters A · doi:10.1142/s0217732302006886 · Cited by 210
Self-citationRegularization dependence of vacuum energy in arbitrarily shaped cavities
Cognola, G., Vanzo, L., & Zerbini, S. (1992) · Journal of Mathematical Physics · doi:10.1063/1.529948 · Cited by 51
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
Casimir effects on Riemann surfaces
Kurokawa, N., & Wakayama, M. (2002) · Indagationes Mathematicae · doi:10.1016/s0019-3577(02)90006-6 · Cited by 9
Metadata
- Authors
- Blau, S. K., Visser, M., & Wipf, A.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1988-11
- Volume
- 310
- Issue
- 1
- Pages
- 163-180
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2092141903
- Cited by
- 265
- References
- 1
- FWCI
- 1.35
- Type
- journal article
- Language
- en
- Open access
- green
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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.
