Novel mass hierarchy and discrete excitation spectra from quantum-fluctuating D-branes

Physical Review D

Volumn 64, Issue 2, 2001, Pages

  Leontaris, G K ^a   Mavromatos, N E ^b  

^a UNIVERSITY OF IOANNINA   (Greece)

^b CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; EXCITATION; GRAVITY; QUANTUM THEORY; SPECTRUM;

EID: 85037893862     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.024008     Document Type: Article

References (75)

1. A. Sen, Invited talk to be published in the Proceedings of the 29th International Conference on High-Energy Physics (ICHEP 98), Vancouver, Canada, 1998, hep-ph/9810356;
2. J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995).
3. V.A. Rubakov and M.E. Shaposhnikov, Phys. Lett. 125B, 136 (1983);
4. V.A. Rubakov and M.E. Shaposhnikov, Phys. Lett. 125B, 136 (1986);
5. K. Akama, in Lecture Notes in Physics Vol. 176 (1982), p. 267;
6. M. Visser, Phys. Lett. 159B, 22 (1985);
7. I. Antoniadis, Phys. Lett. B 246, 377 (1990);
8. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B ibid. 429, 263 (1998);
9. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B ibid. 436, 257 (1998).
10. E.G. Floratos and G.K. Leontaris, Phys. Lett. B 465, 95 (1999);
11. A. Kehagias and K. Sfetsos, Phys. Lett. B ibid. 472, 39 (2000);
12. D. J. Chung, L. Everett, and H. Davoudiasl, Phys. Rev. D (to be published), hep-ph/0010103.
13. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999);
14. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
15. Some selected references are M. Gogberashvili, hep-ph/9812296;
16. M. Gogberashvili, Europhys. Lett. 44, 396 (2000);
17. A. Kehagias, Phys. Lett. B 469, 123 (1999);
18. J. Lykken and L. Randall, J. High Energy Phys. 06, 014 (2000);
19. C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462, 34 (1999);
20. T. Nihei, Phys. Lett. B ibid. 465, 81 (1999h
21. N. Kaioper, Phys. Lett. B ibid. 474, 269 (2000);
22. I. Oda, Phys. Lett. B ibid. 480, 305 (2000);
23. Phys. Lett. B 472, 59 (2000);
24. A. Brandhuber and K. Sfetsos, J. High Energy Phys. 10, 013 (1999);
25. K. Behrndt and M. Cvetic, Phys. Lett. B 475, 253 (2000);
26. H. Davoudiasl, J.L. Hewett, and T.G. Rizzo, Phys. Lett. B ibid. 473, 43 (2000);
27. Phys. Rev. Lett. 84, 2080 (2000);
28. P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468, 31 (1999);
29. P. Binetruy, C. Deffayet, U. Ellwanger, and D. Langlois, Phys. Lett. B ibid. 477, 285 (2000);
30. C. Csaki, J. Erlich, T. J. Hollowood, and Y. Shirman, Nucl. Phys. B581, 309 (2000);
31. I. I. Kogan, S. Mouslopoulos, A. Papazoglou, and G. G. Ross, Nucl. Phys. ibid. B584, 313 (2000);
32. H. Hatanaka et al, Prog. Theor. Phys. 102, 1213 (1999);
33. S. Nam, J. High Energy Phys. 04, 002 (2000);
34. N. Kaioper, J. March-Russell, G. D. Starkman, and M. Trodden, Phys.'Rev. Lett. 85, 928 (2000);
35. C. Csaki, J. Erlich, C. Grojean, and T. Hollowood, Nucl. Phys. B584, 359 (2000);
36. S. Kachru, M. Schulz, and E. Silverstein, Phys. Rev. D 62, 045021 (2000);
37. C. Csaki, J. Erlich, and T. J. Hollowood, Phys. Lett. B 481, 107 (2000).
38. W.D. Goldberger and M.B. Wise, Phys. Rev. D 60, 107505 (1999).
39. R. Gregory, V. A. Rubakov, and S. M. Sibiryakov, Phys. Rev. Lett. 84, 5928 (2000).
40. W. D. Goldberger and M. B. Wise, Phys. Rev. Lett. 83, 4922 (1999);
41. Phys. Lett. B 475, 275 (2000).
42. G. K. Leontaris and N. E. Mavromatos, Phys. Rev. D 61, 124004 (2000).
43. I. I. Kogan, N. E. Mavromatos, and J. F. Wheater, Phys. Lett. B 387, 483 (1996).
44. J. Ellis, N. E. Mavromatos, and D. V. Nanopoulos, Int. J. Mod. Phys. A 13, 1059 (1998);
45. J. Ellis, P. Kanti, N. E. Mavromatos, D. V. Nanopoulos, and E. Winstanley, Mod. Phys. Lett. A 13, 303 (1998);
46. for a concise review, see J. Ellis, N. E. Mavromatos, and D. V. Nanopoulos, Proceedings of the 4th International Symposium on Sources and Detection of Dark Matter in the Universe (DM 2000), Marina del Rey, California, 2000, gr-qc/0005100, and references therein.
47. N. E. Mavromatos and R. J. Szabo, Phys. Rev. D 59, 104018 (1999).
48. V. Gurarie, Nucl. Phys. B410, 535 (1993);
49. J.S. Caux, LI. Kogan, and A.M. Tsvelik, Nucl. Phys. ibid. B466, 444 (1996);
50. M.A.I. Flohr, Int. J. Mod. Phys. A 11, 4147 (1996);
51. M.R. Gaberdiel and H.G. Kausch, Nucl. Phys. B489, 293 (1996);
52. I.I. Kogan and N.E. Mavromatos, Phys. Lett. B 375, 111 (1996);
53. M.R. Rahimi-Tabar, A. Aghamohammadi, and M. Khorrami, Nucl. Phys. B497, 555 (1997);
54. I.I. Kogan, A. Lewis, and O.A. Soloviev, Int. J. Mod. Phys. A 13, 1345 (1998);
55. I.I. Kogan and J.F. Wheater, Phys. Lett. B 486, 353 (2000); A. Lewis, hep-tn/0009096.
56. M. Li and T. Yoneya, Phys. Rev. Lett. 78, 1219 (1997), and references therein.
57. R.M. Wald, General Relativity (University of Chicago Press, Chicago, 1984);
58. in the present context, see D. Z. Freedman, S. S. Gubser, K. Pilch, and N. P. Warner, Adv. Theor. Math. Phys. 3, 363 (1999).
59. fl6l J- Elus. N. E. Mavromatos, and D. V. Nanopoulos, Phys. Rev. 1 p 62, 084019 (2000). n7]
60. A- Campbell-Smith and N. E. Mavromatos, Phys. Lett. B 488, 199 (2000).
61. r|8] E. Witten, Int. J. Mod. Phys. A 10, 1247 (1995).
62. H9] I. Antoniadis and B. Pioline, Nucl. Phys. B550, 41 (1999).
63. G. Barton, Ann. Phys. (N.Y.) 166, 322 (1986).
64. pi] Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, Nat. Bur. Stand., Appl. Math. Ser. 55, (U.S. GPO, Washington, DC, 1964).
65. p>2] J. A. Stratton, Proc. Natl. Acad. Sei. U.S.A. 21, 51 (1935);
66. Proc. Natl. Acad. Sei. U.S.A. 21, "" 316 (1935);
67. E. Fisher, Philos. Mag. 24 (7), 245 (1937);
68. E. Kamke, Differentialgleichungen, Lôsungsinetlioden und Losungen (Akademische Verlagsgesellschaft, Geest & Portig K.G., Leipzig, 1959);
69. G. Latta, J. Math. Phys. 4, 139 (1963).
70. N. E. Mavromatos and E. Winstanley, Int. J. Mod. Phys. A 16, 251 (2001).
71. See, for instance, G. Birkoff and G.-C. Rotta, Ordinary Differential Equations (Wiley, New York, 1959);
72. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1970), Vol. I.
73. E. Witten, Proceedings of the 4th International Symposium on Sources and Detection of Dark Matter in the Universe (DM 2000), Marina del Rey, California, 2000, hep-ph/0002297.
74. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
75. G. Gibbons, R. Kallosh, and A. Linde, J. High Energy Phys. 01, 022 (2001).