JMP  Vol.4 No.5 , May 2013
Extra Dimensions Corrections for Fermionic Casimir Effect in Three Dimensional Box
ABSTRACT

We want to show extra-dimensions corrections for Fermionic Casimir Effect. Firstly, we determined quantization fermion field in Three dimensional Box. Then we calculated the Casimir energy for massless fermionic field confined inside a three-dimensional rectangular box with one compact extra-dimension. We use the MIT bag model boundary condition for the confinement and M4 × S1 as the background spacetime. We use the direct mode summation method along with the Abel-Plana formula to compute the Casimir energy. We show analytically the extra-dimension corrections to the Fermionic Casimir effect to forward a new method of exploring the existence of the extra dimensions of the universe.


Cite this paper
H. Sukamto and A. Purwanto, "Extra Dimensions Corrections for Fermionic Casimir Effect in Three Dimensional Box," Journal of Modern Physics, Vol. 4 No. 5, 2013, pp. 597-603. doi: 10.4236/jmp.2013.45085.
References
[1]   H. B. G. Casimir, Koninklijke Nederlandse Akademie van Wetenschappen, Vol. 51, 1948, p. 793

[2]   K. A. Milton, “The Casimir Effect: Physical Manifestations of Zero-Point Energy,” World Scientific, River Edge, 2001.

[3]   L. P. Theo, “Casimir Effect in Spacetime with Extra Dimensions-From Kaluza-Klein to Randall Sundrum Models.” ArXiv:hep-th/0907.2989v3

[4]   A. Seyedzahedi, R. Saghian and S. S. Gousheh, Physical Review A, Vol. 82, 2010, Article ID: 032517. http://dx.doi.org/10.1103/PhysRevA.82.032517

[5]   F. S. Khoo and L. P. Theo, Physics Letters B, Vol. 703, 2011, pp. 199-207. http://dx.doi.org/10.1016/j.physletb.2011.07.072

[6]   P. Alejandro Sanchez, M. Anabitarte and M. Bellini, “Dirac Equation in a de Sitter Expansion for Massive Neutrinos from Modern Kaluza-Klein Theory,” 2012. ArXiv:hep-th/1112.5183v4

[7]   K. Poppenhaeger, S. Hossenfelder, S. Hosmann and M. Bleicher, “The Casimir Effect in the Presence of Compactified Universal Extra Dimensions,” 2003. ArXiv:hep-th/0309066v2

 
 
Top