Casimir energy of the massless conformal scalar field on S-2 by the point-splitting method


Bayin S., Ozcan M.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.38, sa.10, ss.5240-5255, 1997 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 10
  • Basım Tarihi: 1997
  • Doi Numarası: 10.1063/1.531939
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Sayfa Sayıları: ss.5240-5255

Özet

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.