Extra Dimensions Corrections for Fermionic Casimir Effect in Three Dimensional Box

DOI: 10.4236/jmp.2013.45085   PDF   HTML   XML   3,746 Downloads   5,571 Views   Citations


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.

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.


[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

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.