Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-11
Physics
High Energy Physics
High Energy Physics - Theory
To appear in the proceedings of 9th Conference on Quantum Field Theory under the Influence of External Conditions (QFEXT 09):
Scientific paper
We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate and fractional Neumann conditions with order between zero (Dirichlet) and one (Neumann) are imposed on the other plate. Formulas for the Casimir force show that it is always attractive for Dirichlet boundary conditions, and is always repulsive when the fractional order is larger than 1/2. For some fractional orders less than 1/2, the Casimir force can be either attractive or repulsive depending on the size of the internal manifold and temperature.
Kirsten Klaus
Teo Lee Peng
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