List of Articles فضای خمیده

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  1 - Second Renormalization in the Casimir Energy Calculation with Subtraction of Similar Configurations in Curved Space
  Madad Ali Valuyan
  In this paper we investigate the Casimir energy for systems with Periodic Boundary Conditions (PBCs) on a two dimensional sphere (S^2) by Similar Configurations Subtraction Scheme (SCSS). The SCSS is a slight modification of Boyer's subtraction method to remove divergen More

  In this paper we investigate the Casimir energy for systems with Periodic Boundary Conditions (PBCs) on a two dimensional sphere (S^2) by Similar Configurations Subtraction Scheme (SCSS). The SCSS is a slight modification of Boyer's subtraction method to remove divergences which led to the bare parameters in the Casimir energy calculation. In this paper we first use this method for a problem in a curved space-time. For more simplicity we purpose a system with PBCs on a sphere with radius a and its scalar curvature R=2a^(-2). Usually, in the SCSS to remove divergences from zero point energy expressions, two comparable configurations have been 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. Manuscript profile
• Open Access Article
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  2 - Casimir Energy Calculation with Box Subtraction Scheme in Curved Space
  Madad Ali Valuyan
  In this paper we investigate the Casimir energy for systems with Periodic Boundary Conditions (PBCs) on a two dimensional sphere (S^2) by Box Subtraction Scheme (BSS). The BSS is a slight modification of Boyer's subtraction method to remove divergences from expressions More

  In this paper we investigate the Casimir energy for systems with Periodic Boundary Conditions (PBCs) on a two dimensional sphere (S^2) by Box Subtraction Scheme (BSS). The BSS is a slight modification of Boyer's subtraction method to remove divergences from expressions in the Casimir energy calculation. The BSS have been used in many calculations of the Casimir energy for configurations which all designed in a flat space-time. However, in this paper we first use this method for a problem in a curved space-time. For more simplicity we purpose a system with PBCs on a sphere with radius a and its scalar curvature R=2a^(-2). Usually, in the BSS to remove divergences from zero point energy expressions, two comparable configurations have been 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. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  3 - Casimir Energy Calculation for Scalar Field on a Spherical Surface with S^3 Topology
  Madad Ali Valuyan
  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, i More

  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. Manuscript profile