Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-29
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, LaTeX. To appear in the proceedings of the Conference on Quantum Field Theory Under the Influence of External Condit
Scientific paper
In this paper we study the Casimir energy and force for generalized pistons constructed from warped product manifolds of the type $I\times_{f}N$ where $I=[a,b]$ is an interval of the real line and $N$ is a smooth compact Riemannian manifold either with or without boundary. The piston geometry is obtained by dividing the warped product manifold into two regions separated by the cross section positioned at $R\in(a,b)$. By exploiting zeta function regularization techniques we provide formulas for the Casimir energy and force involving the arbitrary warping function $f$ and base manifold $N$.
Fucci Guglielmo
Kirsten Klaus
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