Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-07-26
Phys. Lett. B 703 (2011). 199-207
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, accepted by Phys. Lett. B
Scientific paper
We consider the finite temperature Casimir effect of a massive fermionic field confined between two parallel plates, with MIT bag boundary conditions on the plates. The background spacetime is $M^{p+1}\times T^q$ which has $q$ dimensions compactified to a torus. On the compact dimensions, the field is assumed to satisfy periodicity boundary conditions with arbitrary phases. Both the high temperature and the low temperature expansions of the Casimir free energy and the force are derived explicitly. It is found that the Casimir force acting on the plates is always attractive at any temperature regardless of the boundary conditions assumed on the compact torus. The asymptotic limits of the Casimir force in the small plate separation limit are also obtained.
Khoo F. S.
Teo Lee Peng
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