Abstract
In this paper we examine the Casimir effect for the case of a tachyonic field corresponding to particles with negative four-momentum squared, i.e., m2 < 0. We consider here only the case of the one dimensional, scalar field. In order to describe tachyonic field, we use the absolute synchronization scheme preserving Lorentz invariance. The renormalized vacuum energy is calculated by means of the Abel-Plana formula. Finally, the Casimir energy and Casimir force as the functions of distance are obtained. In order to compare the resulting formula with the standard one, we calculate the Casimir energy and Casimir force for massive, scalar field (m2 > 0).
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References
1. A. Chodos, A. I. Hauser, and V. A. Kostecky, Phys. Rev. B 150, 431 (1985).
2. J. Ciborowski and J. Rembieliński, Eur. Phys. J. C. 8, 157–161 (1999).
3. J. Rembieliński, “Tachyons and preferred frame,” Int. J. Mod. Phys. 12, 1677 (1997).
4. P. Caban and J. Rembieliński, “Lorentz-covariant quantum mechanics and preferred frame,” Phys. Rev. A 59, 6 (1999).
5. E. C. G. Sudarshan, Tachyons And The Search For A Preferred Frame (North Holland, 1978).
6. J. Rembieliński and K. A. Smoliński, “Einstein-Podolsky-Rosen correlations of spin measurements in two moving inertial frames,” Phys. Rev. A 66 (2002).
7. J. Rembieliński, K. A. Smoliński, and G. Duniec, “Thermodynamics and preferred frame,” Found. Phys. Lett. 14, 487–500 (2001).
8. M. Bordag, U. Mohideen, and V. M. Mostepanenko, “New developments in the Casimir effect,” Phys. Rep. 353, 1–205 (2001).
9. G. Plunien, B. Muller, and W. Greiner, “Casimir effect,” Phys. Rep. 134, 87–193 (1996).
A. A. Saharian, “The generalized Abel-Plana formula. Applications to Bessel functions and Casimir effect,” e-print hep-th/0002239 (2000).
11. A. A. Grib, S. G. Mamayev, and V. M. Mostepanenko, Vacuum Quantum Effects in Strong Fields (Friedmann Laboratory Publishing, St. Petersburg, 1994).
12. V. M. Mostepanenko and N. N. Trunov, The Casimir Effect and its Applications (Clarendon Press, Oxford, 1997).
13. H. B. G. Casimir, Proc. Kon. Nederl. Akad. Wet. 51, 793 (1948).
14. H. B. G. Casimir, D. Polder, Phys. Rev. 73, 360 (1948).
15. M. Planck, Verth. Deutsch. Phys. Ges. 2, 138 (1911).
16. N. N. Boggoliubov and D. V. Shirkov, Quantum Fields (Benjamin/Cummings, London, 1982).
17. P. W. Milonni, The Quantum Vacuum: An Introduction to Quantum Electrodynamics (Academic, New York, 1994).
18. V. B. Berestetskii, E. M. Lifshitz and L. P. Pitaevskii, Quantum Electrodynamics (Pergamon, Oxford, 1982).
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Ostrowski, M. Casimir Effect for Tachyonic Fields. Found Phys Lett 18, 227–242 (2005). https://doi.org/10.1007/s10702-005-6114-0
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DOI: https://doi.org/10.1007/s10702-005-6114-0