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

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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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Citation Formats

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.