Casimir effect in a D-dimensional flat space-time and the cut-off method
- 1 January 1991
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (1) , 175-180
- https://doi.org/10.1063/1.529141
Abstract
The Casimir effect in a D‐dimensional space time produced by a Hermitian massless scalar field in the presence of a pair of perfectly reflecting parallel flat plates is discussed. The exponential cut‐off regularization method is employed. The regularized vacuum energy and the Casimir energy of this field are evaluated and a detailed analysis of the divergent terms in the regularized vacuum energy is carried out. The two‐dimensional version of the Casimir effect is discussed by means of the same cut‐off method. A comparison between the above method and the zeta function regularization procedure is presented in a way that gives the unification between these methods in the present case.Keywords
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