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Turkish Journal of Physics

Casimir Energy of the Massless Scalar Field on S-1 by the Point-Splitting Method

DOI

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Abstract

We calculate the Casimir energy of the massless scalar field on a one dimensional Riemann sphere (S-1) using the point-splitting method. We consider the full space, half space and an arc of arbitrary radius. This problem is interesting since it may be solved analytically be several renormalization techniques.

First Page

632

Last Page

640

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