Casimir energy of the massless conformal scalar field on S-2 by the point-splitting method
Journal Article
·
· Journal of Mathematical Physics
- Department of Physics, Middle East Technical University, Ankara (Turkey)
- Karaelmas Ueniversitesi, Fizik Boeluemue, Zonguldak (Turkey)
We calculate the Casimir energy of the massless conformal scalar field on the surface (S-2) of a 3 dimensional Riemann sphere by using the point-splitting, mode sum and the {zeta}-function renormalization methods. We also consider the half space case with both the Dirichlet and the Neumann boundary conditions. This problem is interesting since the Casimir energy could be calculated analytically by various methods, thus allowing us to compare different regularization schemes. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 542579
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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