Finite-temperature Casimir pistons for an electromagnetic field with mixed boundary conditions and its classical limit

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 10, 2009, Pages

  Teo, L P ^a  

^a MULTIMEDIA UNIVERSITY   (Malaysia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650869608     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/10/105403     Document Type: Article

References (37)

1. Cavalcanti R M 2004 Casimir force on a piston Phys. Rev. D 69 065015
2. Hertzberg M P, Jaffe R L, Kardar M and Scardicchio A 2005 Attractive Casimir forces in a closed geometry Phys. Rev. Lett. 95 250402
3. Hertzberg M P, Jaffe R L, Kardar M and Scardicchio A 2007 Casimir forces in a piston geometry at zero and finite temperatures Phys. Rev. D 76 045016
4. Marachevsky V N 2005 One loop boundary effects: techniques and applications arXiv:hep-th/0512221
5. Barton G 2006 Casimir piston and cylinder, perturbatively Phys. Rev. D 73 065018
6. Marachevsky V N 2007 Casimir energy of two plates inside a cylinder Phys. Rev. D 75 085019
7. Edery A 2007 Casimir piston for massless scalar fields in three dimensions Phys. Rev. D 75 105012
8. Edery A and Macdonald I 2007 Cancellation of nonrenormalizable hypersurface divergences and the d-dimensional Casimir piston J. High Energy Phys. JHEP09(2007)005
9. Zhai X H and Li X Z 2007 Casimir pistons with hybrid boundary conditions Phys. Rev. D 76 047704
10. Fulling S A, Kaplan L and Wilson J H 2007 Vacuum energy and repulsive Casimir forces in quantum star graphs Phys. Rev. A 76 012118
11. Marachevsky V N 2008 Casimir interaction: pistons and cavity J. Phys. A: Math. Theor. 41 164007
12. Edery A and Marachevsky V N 2008 The perfect magnetic conductor (PMC) Casimir piston in d+1 dimensions Phys. Rev. D 78 025021
13. Cheng H 2008 The Casimir force on a piston in the spacetime with extra compactified dimensions Phys. Lett. B 668 72
14. Lim S C and Teo L P 2008 Three dimensional Casimir piston for massive scalar fields arXiv:0807.3613
15. Lim S C and Teo L P 2008 Casimir piston at zero and finite temperature Eur. Phys. J. C (arXiv:0808.0047) (at press)
16. Zhai X H, Zhang Y Y and Li X Z 2008 Casimir pistons for massive scalar fields arXiv:0808.0062
17. Blau Steven K, Visser Matt and Wipf Andreas 1988 Zeta functions and the Casimir energy Nucl. Phys. B 310 163
18. Elizalde E, Odintsov S D, Romeo A, Bytsenko A A and Zerbini S 1994 Zeta Regularization Techniques with Applications (River Edge, NJ: World Scientific)
19. Elizalde E 1995 Ten Physical Applications of Spectral Zeta Functions (Lecture Notes in Physics. New Series m: Monographs vol 35) (Berlin: Springer)
20. Kirsten K 2002 Spectral Functions in Mathematics and Physics (Boca Raton, FL: Chapman and Hall)
21. Elizalde E and Romeo A 1989 Expressions for the zeta-function regularized Casimir energy J. Math. Phys. 30 1133
22. Kirsten K 1991 Casimir effect at finite temperature J. Phys. A: Math. Gen. 24 3281
23. Ortenzi G and Spreafico M 2004 Zeta function regularization for a scalar field in a compact domain J. Phys. A: Math. Gen. 37 11499
24. Lim S C and Teo L P 2007 Finite temperature Casimir energy in closed rectangular cavities: a rigorous derivation based on zeta function technique J. Phys. A: Math. Theor. 40 11645
25. Feinberg J, Mann A and Revzen M 2001 Casimir effect: the classical limit Ann. Phys. 288 103
26. Klich I, Feinberg J, Mann A and Revzen M 2000 Casimir energy of a dilute dielectric ball with uniform velocity of light at finite temperature Phys. Rev. D 62 045017
27. Schaden M and Spruch L 2002 Classical Casimir effect: the interaction of ideal parallel walls at a finite temperature Phys. Rev. A 65 034101
28. Scardicchio A and Jaffe R L 2006 Casimir effects: An optical approach: II. Local observables and thermal corrections Nucl. Phys. B 743 249
29. Ambjørn Jan and Wolfram S 1983 Properties of the vacuum: I. Mechanical and thermodynamic Ann. Phys. 147 1
30. Geyer B, Klimchitskaya G L and Mostepanenko V M 2008 Thermal Casimir effect in ideal metal rectangular boxes Eur. Phys. J. C 57 823
31. Fulling S A, Kaplan L, Kirsten K, Liu Z H and Milton K A 2008 Vacuum stress and closed paths in rectangles, pistons, and pistols arXiv:0806.2468
32. Chowla S and Selberg A 1949 On Epstein's zeta function. I Proc. Natl. Acad. Sci. USA 35 371
33. Selberg A and Chowla S 1967 On Epstein's zeta-function J. Reine Angew. Math. 227 86
34. Bordag M, Elizalde E and Kirsten K 1996 Heat kernel coefficients of the Laplace operator on the D-dimensional ball J. Math. Phys. 37 895
35. Elizalde E and Romeo A 1989 Rigorous extension of the proof of zeta-function regularization Phys. Rev. D 40 436
36. Elizalde E 1998 Multidimensional extension of the generalized Chowla-Selberg formula Commun. Math. Phys. 198 83
37. Elizalde E 2001 Explicit zeta functions for bosonic and fermionic fields on a non-commutative toroidal spacetime J. Phys. A: Math. Gen. 34 3025