Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-24
J. Math. Phys. 48, 6035-6060, 2007
Physics
High Energy Physics
High Energy Physics - Theory
31 pages
Scientific paper
This paper studies the Casimir effect due to fractional massless Klein-Gordon field confined to parallel plates. A new kind of boundary condition called fractional Neumann condition which involves vanishing fractional derivatives of the field is introduced. The fractional Neumann condition allows the interpolation of Dirichlet and Neumann conditions imposed on the two plates. There exists a transition value in the difference between the orders of the fractional Neumann conditions for which the Casimir force changes from attractive to repulsive. Low and high temperature limits of Casimir energy and pressure are obtained. For sufficiently high temperature, these quantities are dominated by terms independent of the boundary conditions. Finally, validity of the temperature inversion symmetry for various boundary conditions is discussed.
Eab Chai Hok
Lim Chu S.
Teo Lee Peng
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