Casimir Energy Calculation for Scalar Field on a Spherical Surface with S^3 Topology

Subject Areas : Nonlinear Vibration

Madad Ali  Valuyan ¹ (دانشگاه آزاد اسلامی واحد سمنان - عضو هیات علمی)

Received: 2016-11-03 Accepted : 2016-12-04 Published : 2014-11-22

Keywords: frequency, Casimir Energy, Vacuum Polarization, Box Subtraction Scheme, Curved Space,

Abstract :

In this article we investigate the Casimir energy for massive and massless scalar field on 3- sphere with S^3 topology by Box Subtraction Scheme (BSS). This method spontaneously eliminate divergences that is appeared in the Casimir energy calculation process. Usually, in the BSS to remove divergences from zero point energy expressions, two comparable configurations are designed and then the zero point energies of these two configurations are subtracted from each other. This setup for configurations made us an ability to divide divergences clearly and it would be to show all divergences are removed without resorting to any other techniques such as analytic continuation techniques. In final we compare our results with those reported in the literature, which are obtained from other regularization techniques.