Research PapersNo Access

SLAB BAG FERMIONIC CASIMIR EFFECT, CHIRAL BOUNDARIES AND VECTOR BOSON — MAJORANA FERMION PISTONS

V. K. OIKONOMOU

Department of Theoretical Physics, Aristotle University of Thessaloniki, Thessaloniki 541 24, Greece

Technological Education Institute of Serres, 62124 Serres, Greece

Search for more papers by this author

and

N. D. TRACAS

Physics Department, National Technical University of Athens, Athens 157 73, Greece

Search for more papers by this author

https://doi.org/10.1142/S0217751X10051189Cited by:14 (Source: Crossref)

Abstract

In this paper we consider the Casimir energy and force of massless Majorana fermions and vector bosons between parallel plates. The vector bosons satisfy perfect electric conductor boundary conditions, while the Majorana fermions satisfy bag and chiral boundary conditions. We consider various piston configurations containing one vector boson and one fermion. We make use of supersymmetry, broken on the boundaries, to explain the number of fields that appear in all the studied cases. The effect of chiral boundary conditions in a fermion–boson system is investigated. Concerning the supersymmetry issue and the vanishing of the Casimir energy, we study a massive Dirac fermion–scalar boson system with bag and specific Robin type boundary conditions for which the Casimir energy vanishes. Finally, a two-scalar-boson system between parallel plates is presented in which the singularities vanish in the total Casimir energy.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

H. Casimir, Proc. Kon. Nederl. Akad. Wet. 51, 793 (1948). Google Scholar
T. H. Boyer, Phys. Rev. 174, 1764 (1968), DOI: 10.1103/PhysRev.174.1764. Crossref, Web of Science, ADS, Google Scholar
M. Bordag, U. Mohideen and V. M. Mostepanenko, Phys. Rep. 353, 1 (2001), DOI: 10.1016/S0370-1573(01)00015-1. Crossref, Web of Science, ADS, Google Scholar
E. Elizalde, J. Phys. A 41, 304040 (2008), DOI: 10.1088/1751-8113/41/30/304040. Crossref, Google Scholar
E. Elizalde, J. Phys. A 39, 6299 (2006), DOI: 10.1088/0305-4470/39/21/S21. Crossref, ADS, Google Scholar
S. D. Odintsov and I. L. Buchbinder, Fortschr. Phys. 37, 225 (1989). Web of Science, Google Scholar
K. Milton, Phys. Rev. D 22, 1444 (1980), DOI: 10.1103/PhysRevD.22.1444. Crossref, Web of Science, ADS, Google Scholar
K. Milton, Phys. Rev. D 22, 1441 (1980), DOI: 10.1103/PhysRevD.22.1441. Crossref, Web of Science, ADS, Google Scholar
E. Elizalde , Ten Physical Applications of Spectral Zeta Functions ( Springer , 1995 ) . Google Scholar
E. Elizalde et al. , Zeta Regularization Techniques and Applications ( World Scientific , 1994 ) . Link, Google Scholar
M. Krech , The Casimir Effect in Critical Systems ( World Scientific , 1994 ) . Link, Google Scholar
V. M. Mostepanenko , N. N. Trunov and R. L. Znajek , The Casimir Effect and Its Applications ( Oxford University Press , 1997 ) . Crossref, Google Scholar
K. A. Milton , The Casimir Effect: Physical Manifestations of Zero-Point Energy ( World Scientific , 2001 ) . Link, Google Scholar
M. Bordag , U. Mohideen and V. M. Mostepanenko , New Developments in the Casimir Effect ( North-Holland , 2001 ) . Crossref, Google Scholar
M. Bordag , G. L. Klimchitskaya and U. Mohideen , Advances in the Casimir Effect ( Oxford University Press , 2009 ) . Crossref, Google Scholar
S. A. Gundersen and F. Ravndal, Ann. Phys. 182, 90 (1988). Crossref, Web of Science, ADS, Google Scholar
S. A. Fulling , Aspects of Quantum Field Theory in Curved Space–Time ( Cambridge University Press , 1989 ) . Crossref, Google Scholar
X.-H. Zhai and X.-Z. Li, Phys. Rev. D 76, 047704 (2007), DOI: 10.1103/PhysRevD.76.047704. Crossref, Web of Science, Google Scholar
S. Bellucci and A. A. Saharian, Phys. Rev. D 80, 105003 (2009), DOI: 10.1103/PhysRevD.80.105003. Crossref, Web of Science, Google Scholar
K. Kirsten, J. Math. Phys. 32, 3008 (1991), DOI: 10.1063/1.529045. Crossref, Web of Science, ADS, Google Scholar
A. A. Bytsenko, E. Elizalde and S. Zerbini, Phys. Rev. D 64, 105024 (2001), DOI: 10.1103/PhysRevD.64.105024. Crossref, Web of Science, Google Scholar
E. Elizalde, Commun. Math. Phys. 198, 83 (1998), DOI: 10.1007/s002200050472. Crossref, Web of Science, ADS, Google Scholar
E. Elizalde, J. Phys. A 34, 3025 (2001), DOI: 10.1088/0305-4470/34/14/309. Crossref, ADS, Google Scholar
J. Ambjorn and S. Wolfram, Ann. Phys. 147, 1 (1983). Crossref, Web of Science, ADS, Google Scholar
A. Chodoset al., Phys. Rev. D 9, 3471 (1974), DOI: 10.1103/PhysRevD.9.3471. Crossref, Web of Science, ADS, Google Scholar
R. M. Cavalcanti, Phys. Rev. D 69, 065015 (2004), DOI: 10.1103/PhysRevD.69.065015. Crossref, Web of Science, Google Scholar
K. Kirsten and S. A. Fulling, Phys. Rev. D 79, 065019 (2009), DOI: 10.1103/PhysRevD.79.065019. Crossref, Web of Science, Google Scholar
E. Elizalde, S. D. Odintsov and A. A. Saharian, Phys. Rev. D 79, 065023 (2009), DOI: 10.1103/PhysRevD.79.065023. Crossref, Web of Science, Google Scholar
S. A. Fulling and K. Kirsten, Phys. Lett. B 671, 179 (2009). Crossref, Web of Science, ADS, Google Scholar
S. A. Fulling and J. H. Wilson , arXiv:quant-ph/0608122 . Google Scholar
H. Cheng, Phys. Lett. B 668, 72 (2008). Crossref, Web of Science, ADS, Google Scholar
A. Edery, Phys. Rev. D 75, 105012 (2007), DOI: 10.1103/PhysRevD.75.105012. Crossref, Web of Science, Google Scholar
A. Edery, J. Phys. A 39, 685 (2006), DOI: 10.1088/0305-4470/39/3/017. Crossref, ADS, Google Scholar
A. Edery and V. Marachevsky, Phys. Rev. D 78, 025021 (2008), DOI: 10.1103/PhysRevD.78.025021. Crossref, Web of Science, Google Scholar
A. Edery and I. MacDonald, J. High Energy Phys. 09, 005 (2007). ADS, Google Scholar
L. P. Teo, Phys. Lett. B 672, 190 (2009). Crossref, Web of Science, ADS, Google Scholar
L. P. Teo, Nucl. Phys. B 819, 431 (2009), DOI: 10.1016/j.nuclphysb.2009.04.013. Crossref, Web of Science, ADS, Google Scholar
S. C. Lim and L. P. Teo, Eur. Phys. J. C 60, 323 (2009), DOI: 10.1140/epjc/s10052-009-0867-8. Crossref, Web of Science, ADS, Google Scholar
V. K. Oikonomou, Mod. Phys. Lett. A 24, 2405 (2009), DOI: 10.1142/S0217732309031703. Link, Web of Science, ADS, Google Scholar
N. Grahamet al., Nucl. Phys. B 677, 379 (2004), DOI: 10.1016/j.nuclphysb.2003.11.001. Crossref, Web of Science, ADS, Google Scholar
R. D. M. Paola, R. B. Rodrigues and N. F. Svaiter, Mod. Phys. Lett. A 14, 2353 (1999). Link, Web of Science, Google Scholar
K. Johnson, Acta Phys. Pol. B 6, 865 (1975). Web of Science, Google Scholar
E. Elizalde, F. C. Santos and A. C. Tort, Int. J. Mod. Phys. A 18, 1761 (2003), DOI: 10.1142/S0217751X03014186. Link, Web of Science, ADS, Google Scholar
H. Abeet al., Mod. Phys. Lett. A 14, 1033 (1999), DOI: 10.1142/S0217732399001097. Link, Web of Science, Google Scholar
C. A. Lutken and F. Ravndal, J. Phys. G 10, 123 (1984), DOI: 10.1088/0305-4616/10/2/005. Crossref, Web of Science, ADS, Google Scholar
A. Romeo and A. A. Saharian, J. Phys. A 35, 1297 (2002), DOI: 10.1088/0305-4470/35/5/312. Crossref, ADS, Google Scholar
Y. Igarashi, Phys. Rev. D 30, 1812 (1984), DOI: 10.1103/PhysRevD.30.1812. Crossref, Web of Science, Google Scholar
S. C. Lim and L. P. Teo , arXiv:0807.3631 . Google Scholar
X.-Z. Xiang, Y.-Z. Yan and Z.-L. Xin, Mod. Phys. Lett. A 24, 393 (2009). Web of Science, Google Scholar
V. Marachevsky, Phys. Rev. D 75, 085019 (2007), DOI: 10.1103/PhysRevD.75.085019. Crossref, Web of Science, Google Scholar
K. Kirsten, J. Math. Phys. 35, 459 (1994), DOI: 10.1063/1.530793. Crossref, Web of Science, ADS, Google Scholar
E. Elizalde and A. Romeo, Phys. Rev. D 40, 436 (1989), DOI: 10.1103/PhysRevD.40.436. Crossref, Web of Science, ADS, Google Scholar
M. Bordaget al., Phys. Rev. D 56, 4896 (1997), DOI: 10.1103/PhysRevD.56.4896. Crossref, Web of Science, ADS, Google Scholar
E. Elizalde and A. Romeo, J. Math. Phys. 30, 1133 (1989), DOI: 10.1063/1.528332. Crossref, Web of Science, ADS, Google Scholar
M. Bordag, E. Elizalde and K. Kirsten, J. Math. Phys. 37, 895 (1996), DOI: 10.1063/1.531418. Crossref, Web of Science, ADS, Google Scholar
E. Elizalde, M. Bordag and K. Kirsten, J. Phys. A 31, 1743 (1998), DOI: 10.1088/0305-4470/31/7/009. Crossref, ADS, Google Scholar
V. K. Oikonomou, J. D. Vergados and Ch. Moustakidis, Nucl. Phys. B 773, 19 (2007), DOI: 10.1016/j.nuclphysb.2007.03.014. Crossref, Web of Science, ADS, Google Scholar
Y. Tsutsumiet al., Phys. Rev. Lett. 101, 135302 (2008), DOI: 10.1103/PhysRevLett.101.135302. Crossref, Web of Science, ADS, Google Scholar
H. Y. Keep, A. Raghavan and K. Maki , arXiv:0711.0929 . Google Scholar