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Casimir energy of the massless conformal scalar field on S-2 by the point-splitting method
Date
1997-10-01
Author
Bayin, SS
Ozcan, M
Metadata
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We calculate the Casimir energy of the massless conformal scalar held 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. (C) 1997 American Institute of Physics.
Subject Keywords
Quantum Vacuum Energy
,
Universes
,
Stress
URI
https://hdl.handle.net/11511/65068
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.531939
Collections
Department of Physics, Article
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S. Bayin and M. Ozcan, “Casimir energy of the massless conformal scalar field on S-2 by the point-splitting method,”
JOURNAL OF MATHEMATICAL PHYSICS
, pp. 5240–5255, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65068.