Searching for Extra Dimensions and New String-Inspired Forces in the Casimir Regime
Abstract
The appearance of new fundamental forces and extra-dimensional modifications to gravity in extensions of the Standard Model has motivated considerable interest in testing Newtonian gravity at short distances (≲ 10-3 m). Presently a number of new gravity experiments are searching for non-Newtonian effects in the ranges ~ 10-4-10-3 m. However, as challenging as these experiments are, formidable new obstacles await the next generation of experiments which will probe gravity at distances ≲10-4 m where Casimir/van der Waals forces become dominant. Here we will review the motivation for conducting such very short distance gravity experiments, and discuss some of the new problems that may arise in future experiments. Finally, we suggest schematic designs for null experiments which would address some of these problems using the “iso-electronic” and “finite-size” effects.
Keywords
Yukawa Coupling Extra Dimension Casimir Force Newtonian Gravity Fundamental ForcePreview
Unable to display preview. Download preview PDF.
References
- 1.E. Fischbach and C. Talmadge: The Search for Non-Newtonian Gravity (AIP Press/Springer-Verlag, New York, 1999).MATHGoogle Scholar
- 2.I. Ciufolini and J. A. Wheeler: Gravitation and Inertia (Princeton University Press, Princeton, 1995).MATHGoogle Scholar
- 3.C. M. Will: Theory and Experiment in Gravitational Physics, revised edition (Cambridge University Press, New York, 1993).MATHGoogle Scholar
- 4.Y. T. Chen and A. Cook: Gravitational Experiments in the Laboratory (Cambridge University Press, New York, 1993).CrossRefGoogle Scholar
- 5.E. Fischbach, G.T. Gillies, D.E. Krause, J.G. Schwan, and C. Talmadge: Metrologia 29, 213 (1992).CrossRefADSGoogle Scholar
- 6.E.G. Adelberger, B.R. Heckel, C.W. Stubbs, and W.F. Rogers: Annu. Rev. Nucl. Part. Sci. 41, 269 (1991).CrossRefADSGoogle Scholar
- 7.Y. Fujii: Int. J. Mod. Phys. A 6, 3505 (1991).ADSGoogle Scholar
- 8.J.C. Price: in International Symposium on Experimental Gravitational Physics, edited by P. Michelson, H. Enke, and G. Pizzella (World Scientific, Singapore, 1988), pp. 436–439.Google Scholar
- 9.J.C. Long, H.W. Chan, and J.C. Price: Nucl. Phys. B 539, 23 (1999).CrossRefADSGoogle Scholar
- 10.R. Onofrio: Mod. Phys. Lett. A 13, 1401 (1998).ADSGoogle Scholar
- 11.S.R. Beane: Gen. Rel. Grav. 29, 945 (1997).CrossRefADSGoogle Scholar
- 12.S. Dimopoulos and G. F. Giudice: Phys. Lett. B 379, 105 (1996).ADSGoogle Scholar
- 13.G. Carugno, Z. Fontana, R. Onofrio, and C. Rizzo: Phys. Rev. D 55, 6591 (1997).ADSGoogle Scholar
- 14.E.G. Adelberger, et al.: (C. Deufel, personal communication.)Google Scholar
- 15.J. Polchinski: String Theory, Volumes 1 and 2(Cam bridge University Press, New York, 1999).Google Scholar
- 16.M. Kaku: Introduction to Superstrings and M-Theory (Springer-Verlag, New York, 1999).MATHGoogle Scholar
- 17.I. Antoniadis, S. Dimopoulos, and G. Dvali: Nucl. Phys. B 516, 70 (1998); N. Arkani-Hamed, S. Dimopoulus, and G. Dvali: Phys. Lett. B 429, 263 (1998); I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali: Phys. Lett. B 436, 257 (1998).CrossRefADSMathSciNetGoogle Scholar
- 18.N. Arkani-Hamed, S. Dimopoulos, and G. Dvali: Phys. Rev. D 59, 086004 (1999).ADSGoogle Scholar
- 19.L. Randall and R. Sundrum: Phys. Rev. Lett. 83, 4690 (1999).MATHCrossRefADSMathSciNetGoogle Scholar
- 20.G. Shiu and S.H.H. Tye: Phys. Rev. D 58, 106007 (1998).ADSMathSciNetGoogle Scholar
- 21.S. Nussinov and R. Shrock: Phys. Rev. D 59, 105002(1999).ADSGoogle Scholar
- 22.A. Kehagias and K. Sfetsos: hep-ph/9905417.Google Scholar
- 23.E.G. Floratos and G.K. Leontaris: Phys. Lett. B 465, 95 (1999).ADSMathSciNetGoogle Scholar
- 24.V.P. Mitrofanov and O. I. Ponomareva: Sov. Phys. JETP 67, 1963 (1988).Google Scholar
- 25.S.K. Lamoreaux: Phys. Rev. Lett. 78, 5 (1997); 81, 5475(E) (1998).CrossRefADSGoogle Scholar
- 26.M. Bordag, B. Geyer, G. L. Klimchitskaya, and V. M. Mostepanenko: Phys. Rev. D 60, 055004 (1999).ADSGoogle Scholar
- 27.U. Mohideen and A. Roy: Phys. Rev. Lett. 81, 4549 (1998); A. Roy, C.-Y. Lin, and U. Mohideen: Phys. Rev. D 60, 111101 (1999).CrossRefADSGoogle Scholar
- 28.M. Bordag, B. Geyer, G. L. Klimchitskaya, and V. M. Mostepanenko: in The Casimir Effect 50 Years Later, edited by M. Bordag (World Scientific, Singapore, 1999), pp. 39–49; M. Bordag, B. Geyer, G. L. Klimchitskaya, and V. M. Mostepanenko: Phys. Rev. D 58, 075003 (1999); V. M. Mostepanenko and I. Yu. Sokolov: Phys. Rev. D 47, 2882 (1993).Google Scholar
- 29.V. M. Mostepanenko and I. Yu. Sokolov: in Quantum Gravity, edited by. M. A. Markov, V. A. Berezin, and V. P. Frolov (World Scientific, Singapore, 1990), pp. 213–232; V. M. Mostepanenko and I.Yu. Sokolov: in Modern Problems of Theoretical Physics, edited by P.I. Pronin and Yu.N. Obukhov (World Scientific, Singapore 1991), pp. 175-196.Google Scholar
- 30.J. Israelachvili: Intermolecular & Surface Forces, 2nd edition (Academic Press, New York 1992).Google Scholar
- 31.H.B.G. Casimir: Proc. Kon. Ned. Akad. Wet. 51, 793 (1948).MATHGoogle Scholar
- 32.A. Lambrecht and S. Reynaud: Eur. Phys. J. D 8, 309 (2000).ADSGoogle Scholar
- 33.G.L. Klimchitskaya, A. Roy, U. Mohideen, and V. M. Mostepanenko: Phys. Rev. A 60, 3487 (1999).ADSGoogle Scholar
- 34.S.K. Lamoreaux: Phys. Rev. A 59, R3149 (1999).ADSGoogle Scholar
- 35.J. Mehra: Physica 37, 145 (1967).CrossRefADSGoogle Scholar
- 36.L.S. Brown and G.J. Maclay: Phys. Rev. 184, 1272 (1969).CrossRefADSGoogle Scholar
- 37.S.K. Lamoreuax: quant-ph/9907076.Google Scholar
- 38.S.K. Lamoreuax: Phys. Rev. Lett. 83, 3340; U. Mohideen and A. Roy: Phys. Rev. Lett. 83, 3341 (1999).Google Scholar
- 39.M. W. Moore, A. Boudreaux, M. DePue, J. Guthrie, R. Legere, A. Yan, and P. E. Boynton: Class. Quantum Grav. 11, A97 (1994).CrossRefADSGoogle Scholar