Casimir force on a piston at finite temperature in Randall-Sundrum models

  • The Casimir effect for a three-parallel-plate system at finite temperature within the framework of five-dimensional Randall-Sundrum models is studied. In the case of the Randall-Sundrum model involving two branes we find that the Casimir force depends on the plate distance and temperature after one outer plate has been moved to a distant place. Further we discover that the sign of the reduced force is negative if the plate and piston are located close together, but the nature of reduced force becomes repulsive when the plate distance is not very small and finally the repulsive force vanishes with extremely large plate separation. A higher temperature causes a greater repulsive Casimir force. Within the framework of a one-brane scenario the reduced Casimir force between the piston and one plate remains attractive no matter how high the temperature is. It is interesting that a stronger thermal effect leads to a greater attractive Casimir force instead of changing the nature of the force.
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  • [1] Kaluza T. Sitz. Preuss. Akad. Wiss. Phys. Math., 1921, K1: 9662 Klein O. Z. Phys., 1926, 37: 8953 Rubakov V A, Shaposhnikov M E. Phys. Lett. B, 1983, 125: 136; Rubakov V A, Shaposhnikov M E. Phys. Lett. B, 1983, 125: 1394 Visser M. Phys. Lett. B, 1985, 159: 225 Antoniadis I. Phys. Lett. B, 1990, 246: 3176 Akama K. Prog. Theor. Phys. 1987, 78: 184; 1988, 79: 1299; 1989, 80: 935; Akama K, Hattori T. Mod. Phys. Lett. A, 2000, 15: 20177 Randall L, Sundrum R. Phys. Rev. Lett., 1999, 83: 33708 Randall L, Sundrum R. Phys. Rev. Lett., 1999, 83: 46909 Arkani-Hamed N, Dimopoulos S, Dvali G. Phys. Lett. B, 1998, 429: 26310 Antoniadis I, Arkani-Hamed N, Dimopoulos S, Dvali G. Phys. Lett. B, 1998, 436: 25711 Casimir H B G. Proc. Nederl. Akad. Wetenschap, 1948, 51: 79312 Ambjorn J, Wolfram S. Ann. Phys. (N. Y.), 1983, 147: 1; Plunien G, Muller B, Greiner W. Phys. Rep., 1986, 134: 8713 Elizalde E, Odintsov S D, Romeo A, Bytsenko A A, Zerbini S. Zeta Regularization Techniques with Applications. Singapore: World Scienti c Publishing Co. Pte. Ltd., 199414 Elizalde E. Ten Physical Applications of Spectral Zeta Functions. Berlin: Springer-Verlag, 199515 Bordag M, Mohideen U, Mostepanenko V M. Phys. Rep., 2001, 353: 116 Milton K A. The Casimir Effect, Physical Manifestation of Zero-Point Energy. Singapore: World Scienti c Publishing Co. Pte. Ltd., 200117 Mostepanenko V M, Trunov N N. The Casimir E ect and Its Applications. Oxford: Oxford University Press, 199718 Kirsten K. Spectral Function in Mathematics and Physics. London: Chapman and Hall, 200219 LI X, CHENG H, LI J, ZHAI X. Phys. Rev. D, 1997, 56: 215520 Brevik I, Milton K, Nojiri S, Odintsov S D. Nucl. Phys. B, 2001, 599: 30521 Lamoreaux S K. Phys. Rev. Lett., 1997, 78: 522 Mohideen U, Roy A. Phys. Rev. Lett., 1998, 81: 454923 Bressi G, Carugno G, Onfrio R, Ruoso G. Phys. Rev. Lett., 2002, 88: 04180424 Decca R S, Lepez D, Fischbach E, Kraus D E. Phys. Rev. Lett., 2003, 91: 05040225 Alnes H, Ravndal F, Wehus I K, Olaussen K. quantph/060708126 Alnes H, Ravndal F, Wehus I K, Olaussen K. hepth/061008127 CHENG H. Chin. Phys. Lett., 2005, 22: 219028 Poppenhaeger K, Hossenfelder S, Hofmann S, Bleicher M. Phys. Lett. B, 2004, 582: 129 CHENG H. Chin. Phys. Lett., 2005, 22: 303230 CHENG H. Mod. Phys. Lett. A, 2006, 21: 195731 CHENG H. Phys. Lett. B, 2006, 643: 31132 Cavalcanti R M. Phys. Rev. D, 2004, 69: 06501533 Hertzberg M P, Ja e R I, Kardar M, Scardicchio A. Phys. Rev. Lett., 2005, 95: 25040234 Edery A. Phys. Rev. D, 2007, 75: 10501235 Edery A, MacDonald I. JHEP, 2007, 0709: 00536 CHENG H. Phys. Lett. B, 2008, 668: 7237 Fulling S A, Kirsten K. Phys. Lett. B, 2008, 671: 179 Kirsten K, Fulling S A. Phys. Rev. D, 2009, 79: 06501938 Fulling S A, Kaplan I, Wilson J H. Phys. Rev. D, 2007, 76: 012118; Milton K A, et al. Mod. Phys. Lett. A, 2001, 16: 228139 Elizalde E. J. Phys. A, 2007, 40: 664740 Greene B R, Levin J. JHEP, 2007, 0711: 09641 Fabinger M, Horava P. Nucl. Phys. B, 2000, 580: 24342 Saharian A A, Setare M R. Phys. Lett. B, 2003, 552: 11943 CHENG H, LI X. Chin. Phys. Lett., 2001, 18: 116344 Hadasz L, Lambiase G, Nesterenko V V. Phys. Rev. D, 2000, 62: 02501145 Elizalde E, Nojiri S, Odintsov S D, Ogushi S. Phys. Rev. D, 2003, 67: 06351546 Garriga J, Pomarol A. Phys. Lett. B, 2003, 560: 9147 Pujolas O. Int. J. Theor. Phys., 2001, 40: 213148 Flachi A, Toms D J. Nucl. Phys. B, 2001, 610: 14449 Goldberger W D, Rothstein I Z. Phys. Lett. B, 2000, 491: 33950 Frank M, Turan I, Ziegler L. Phys. Rev. D, 2007, 76: 01500851 CHENG H. Commun. Theor. Phys., 2010, 53: 112552 Linares R, Morales-Tecotl H A, Pedraza O. Phys. Rev. D, 2008, 77: 06601253 Frank M, Saad N, Turan I. Phys. Rev. D, 2008, 78: 05501454 Satos F C, Tenorio A, Tort A C. Phys. Rev. D, 1999, 60: 10502255 CHENG H. J. Phys. A, 2002, 35: 220556 Pinto A C A et al. Phys. Rev. D, 2003, 67: 10770157 Cognola G et al. Mod. Phys. Lett. A, 2004, 19: 1435
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CHENG Hong-Bo. Casimir force on a piston at finite temperature in Randall-Sundrum models[J]. Chinese Physics C, 2011, 35(12): 1084-1094. doi: 10.1088/1674-1137/35/12/002
CHENG Hong-Bo. Casimir force on a piston at finite temperature in Randall-Sundrum models[J]. Chinese Physics C, 2011, 35(12): 1084-1094.  doi: 10.1088/1674-1137/35/12/002 shu
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Received: 2011-02-10
Revised: 2011-05-24
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Casimir force on a piston at finite temperature in Randall-Sundrum models

    Corresponding author: CHENG Hong-Bo,
  • Department of Physics, East China University of Science and Technology, Shanghai 200237, China;2. The Shanghai Key Laboratory of Astrophysics, Shanghai 200234, China

Abstract: The Casimir effect for a three-parallel-plate system at finite temperature within the framework of five-dimensional Randall-Sundrum models is studied. In the case of the Randall-Sundrum model involving two branes we find that the Casimir force depends on the plate distance and temperature after one outer plate has been moved to a distant place. Further we discover that the sign of the reduced force is negative if the plate and piston are located close together, but the nature of reduced force becomes repulsive when the plate distance is not very small and finally the repulsive force vanishes with extremely large plate separation. A higher temperature causes a greater repulsive Casimir force. Within the framework of a one-brane scenario the reduced Casimir force between the piston and one plate remains attractive no matter how high the temperature is. It is interesting that a stronger thermal effect leads to a greater attractive Casimir force instead of changing the nature of the force.

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