Casimir energy and radius stabilization in five and six dimensional orbifolds

Journal of High Energy Physics

Volumn 5, Issue 6, 2001, Pages 1-36

  Pontón, Eduardo ^a   Poppitz, Erich ^a  

^a Yale University   (United States)

Author keywords

Beyond Standard Model; Extra Large Dimensions; Field Theories in Higher Dimensions; Supersymmetry Breaking

Indexed keywords

EID: 33744511188     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/06/019     Document Type: Article

References (54)

1. Th. Kaluza, Zum Unitätsproblem der Physik, Sitzungber. d. Berl. Akad. 966 1921, reprinted in Modern Kaluza-Klein theories, T. Appelquist, A. Chodos and P.G. Freund, eds., Addison-Wessley Reading, USA 1987.
2. O. Klein, Quantum theory and five-dimensional relativity, Z. Phys. 37 (1926) 895–906;
3. reprinted in Modern Kaluza-Klein theories, T. Appelquist, A. Chodos and P.G. Freund eds., Addison-Wessley Reading, USA 1987.
4. K. Akama, An early proposal of ‘brane world’, Lect. Notes Phys. 176 (1982) 267 [hep-th/0001113].
5. V.A. Rubakov and M.E. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett. B 125 (1983) 136.
6. V.A. Rubakov and M.E. Shaposhnikov, Extra space-time dimensions: towards a solution to the cosmological constant problem, Phys. Lett. B 125 (1983) 139.
7. M. Visser, An exotic class of Kaluza-Klein models, Phys. Lett. B 159 (1985) 22 [hep-th/9910093].
8. P. Hořava and E. Witten, Heterotic and type i string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209].
9. P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142].
10. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315].
11. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398].
12. L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
13. L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064].
14. T. Appelquist and A. Chodos, The quantum dynamics of Kaluza-Klein theories, Phys. Rev. D 28 (1983) 772.
15. T. Appelquist and A. Chodos, Quantum effects in Kaluza-Klein theories, Phys. Rev. Lett. 50 (1983) 141.
16. M. Fabinger and P. Hořava, Casimir effect between world-branes in heterotic M-theory, Nucl. Phys. B 580 (2000) 243 [hep-th/0002073].
17. J. Garriga, O. Pujolas and T. Tanaka, Radion effective potential in the brane-world, hep-th/0004109.
18. D.J. Toms, Quantized bulk fields in the Randall-Sundrum compactificat¡ion model, hep-th/0005189;
19. A. Flachi and D.J. Toms, Quantized bulk scalar fields in the Randall-Sundrum brane-model, hep-th/0103077.
20. 5, Phys. Lett. B 491 (2000) 339 [hep-th/0007065].
21. R. Hofmann, P. Kanti and M. Pospelov, (De-)stabilization of an extra dimension due to a Casimir force, Phys. Rev. D 63 (2001) 124020 [hep-ph/0012213].
22. 5 universe at nonzero temperature, hep-th/0010205;
23. S. Nojiri, S.D. Odintsov and S. Ogushi, Quantum stabilization of thermal brane-worlds in M-theory, Phys. Lett. B 506 (2001) 200 [hep-th/0102082].
24. E. Witten, Instability of the Kaluza-Klein vacuum, Nucl. Phys. B 195 (1982) 481.
25. R. Barbieri, L.J. Hall and Y. Nomura, A constrained standard model from a compact extra dimension, Phys. Rev. D 63 (2001) 105007 [hep-ph/0011311].
26. N. Arkani-Hamed, H.-C. Cheng, B.A. Dobrescu and L.J. Hall, Self-breaking of the standard model gauge symmetry, Phys. Rev. D 62 (2000) 096006 [hep-ph/0006238].
27. A. Delgado, A. Pomarol and M. Quiros, Supersymmetry and electroweak breaking from extra dimensions at the TeV-scale, Phys. Rev. D 60 (1999) 095008 [hep-ph/9812489].
28. I. Antoniadis, S. Dimopoulos, A. Pomarol and M. Quiros, Soft masses in theories with supersymmetry breaking by TeV-compactification, Nucl. Phys. B 544 (1999) 503 [hep-ph/9810410].
29. L. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on orbifolds, Nucl. Phys. B 261 (1985) 678.
30. L. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on orbifolds. 2, Nucl. Phys. B 274 (1986) 285.
31. M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517.
32. M. Bianchi and A. Sagnotti, Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519.
33. E.G. Gimon and J. Polchinski, Consistency conditions for orientifolds and D-manifolds, Phys. Rev. D 54 (1996) 1667 [hep-th/9601038].
34. N. Arkani-Hamed, A.G. Cohen and H. Georgi, Anomalies on orbifolds, hep-th/0103135.
35. N. D. Birrell and P. C. Davies, Quantum Fields In Curved Space, Cambridge Univ. Pr., Cambridge 1982.
36. H. Georgi, A.K. Grant and G. Hailu, Brane couplings from bulk loops, Phys. Lett. B 506 (2001) 207 [hep-ph/0012379].
37. W.D. Goldberger and M.B. Wise, Renormalization group flows for brane couplings, hep-th/0104170.
38. G. Dvali, G. Gabadadze and M. Porrati, 4D gravity on a brane in 5D Minkowski space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016].
39. Z. Chacko, M.A. Luty and E. Ponton, Massive higher-dimensional gauge fields as messengers of supersymmetry breaking, J. High Energy Phys. 07 (2000) 036 [hep-ph/9909248].
40. G. Dvali, G. Gabadadze, M. Kolanovic and F. Nitti, The power of brane-induced gravity, hep-ph/0102216.
41. M. Carena et al., Brane effects on extra dimensional scenarios: a tale of two gravitons, hep-ph/0102172.
42. N. Arkani-Hamed, L. Hall, Y. Nomura, D. Smith and N. Weiner, Finite radiative electroweak symmetry breaking from the bulk, hep-ph/0102090.
43. W.D. Goldberger and M.B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447].
44. N. Arkani-Hamed, L. Hall, D. Smith and N. Weiner, Solving the hierarchy problem with exponentially large dimensions, Phys. Rev. D 62 (2000) 105002 [hep-ph/9912453].
45. M.A. Luty and R. Sundrum, Hierarchy stabilization in warped supersymmetry, hep-th/0012158.
46. M.A. Luty and R. Sundrum, Radius stabilization and anomaly-mediated supersymmetry breaking, Phys. Rev. D 62 (2000) 035008 [hep-th/9910202].
47. T. Appelquist, H.-C. Cheng and B.A. Dobrescu, Bounds on universal extra dimensions, hep-ph/0012100.
48. B.A. Dobrescu and E. Poppitz, Number of fermion generations derived from anomaly cancellation, hep-ph/0102010.
49. P. Di Francesco, P. Mathieu and D. Senechal, Conformal field theory, Springer New York, USA 1997.
50. S. Coleman and F.D. Luccia, Gravitational effects on and of vacuum decay, Phys. Rev. D 21 (1980) 3305.
51. I. Antoniadis, S. Dimopoulos and A. Giveon, Little string theory at a TeV, J. High Energy Phys. 05 (2001) 055 [hep-th/0103033].
52. A. Losev, G. Moore and S.L. Shatashvili, M & m’s, Nucl. Phys. B 522 (1998) 105 [hep-th/9707250].
53. O. Aharony, A brief review of ‘little string theories’, Class. and Quant. Grav. 17 (2000) 929 [hep-th/9911147].
54. E. Elizalde, S.D. Odintsov, A. Romeo, A.A. Bytsenko, and S. Zerbini, Zeta Regularization Techniques with Applications, World Scientific, Singapore 1994.