Casimir Effect in $\kappa$-deformed Theory

Abstract

Quantum mechanical fluctuations in an interval give rise to the Casimir effect, which destabilizes the size of the interval. This can be problematic in constructing Kaluza-Klein theories. We consider the possibility that a breakdown of the Poincaré symmetry in an extra dimension can solve this instability problem. As a specific example, we consider the space-time with a $\kappa$-deformed Poincaré algebra, calculate the Casimir force between two plates, and find that we can have an interval with a stable size.

LaTeX file, 9 pages, no figure

Cited by in corpus (2)

• Casimir Effect in the Presence of Minimal Lengths
• Braided Statistics from Abelian Twist in $\kappa$-Minkowski Spacetime