Holographie renormalization group flow and the low-energy, strong coupling, large W limit

Physical Review D

Volumn 64, Issue 2, 2001, Pages

  Hambli, N ^a  

^a Department of Physics and Astronomy ^*  (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ASTRONOMY; COSMOS; FLOW MEASUREMENT; GRAVITY; INFRARED RADIATION; QUANTUM THEORY; THEORY;

EID: 0034892104     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.024001     Document Type: Article

References (130)

1. L. Susskind, J. Math. Phys. 36, 6377 (1995);
2. D. Bigatti and L. Susskind, "TASI lectures on the holographic principle," hep-th/0002044.
3. C.R. Stephens, G. 't Hooft, and B.F. Whiting, Class. Quantum Grav. 11, 621 (1994);
4. G. 't Hooft, "Dimensional reduction in quantum gravity," gr-qc/9310026.
5. W. Fischler and L. Susskind, "Holography and cosmology," hep-th/9805114.
6. R. Bousso, Class. Quantum Grav. 17, 997 (2000);
7. J. High Energy Phys. 06, 028 (1999);
8. J. High Energy Phys. 07, 004 (1999).
9. E.E. Flanagan, D. Marolf, and R. Wald, Phys. Rev. D 62, 084035 (2000).
10. S. Corley and T. Jacobson, Phys. Rev. D 53, 6720 (1996).
11. J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995);
12. J. Polchinski, S. Chaudhuri, and C.V. Johnson, "Notes on D-branes," hep-th/9602052;
13. J. Polchinski, "TASI Lectures on D-branes," hep-th/9611050;
14. C. Bâchas, "Lectures on D-branes," hep-th/9806199;
15. Phys. Lett. B 370, 37 (1996).
16. E. Witten, Nucl. Phys. B460, 525 (1996).
17. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996);
18. J. Maldacena, Ph.D. thesis, Princeton University, hep-th/9607235;
19. N. Hambli, Phys. Rev. D 54, 5129 (1996).
20. T. Banks, W. Fischler, S.H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997);
21. T. Banks, Nucl. Phys. B (Proc. Suppl.) 67, 180 (1998);
22. Nucl. Phys. B (Proc. Suppl.) 62, 341 (1998);
23. D. Bigatti and L. Susskind, "Review of Matrix Theory," hep-th/9712072;
24. N. Ishibashi, H. Kawai, Y. Kitazavva, and A. Tsuchiya, Nucl. Phys. B498, 467 (1997);
25. N. Hambli, Phys. Rev. D 59, 126003 (1999).
26. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
27. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998);
28. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz, Phys. Rep. 323, 183 (2000);
29. I.R. Klebanov, "From threebranes to large W gauge theories," hep-th/9901018;
30. M.R. Douglas and S. Randjbar-Daemi, "Two lectures on the AdSICFT correspondence," hep-th/9902022.
31. S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428, 105 (1998).
32. L. Susskind and E. Witten, "The holographic bound in Anti-de Sitter space," hep-th/9805114.
33. J. de Boer, E. Verlinde, and H. Verlinde, J. High Energy Phys. 08, 003 (2000);
34. E. Verlinde and H. Verlinde, J. High Energy Phys. ibid. 05, 034 (2000);
35. E. Verlinde, Class. Quantum Grav. 17, 1277 (2000);
36. H. Verlinde, "Supersymmetry at large distance scales," hep-th/0004003;
37. H. Verlinde, Nucl. Phys. B580, 264 (2000).
38. C. Schmidhuber, Nucl. Phys. B580, 140 (2000);
39. C.P. Burgess, R.C. Myers, and F. Quevedo, Phys. Lett. B 495, 354 (2000);
40. S.P. de Alwis, Nucl. Phys. B597, 263 (2001);
41. E. Witten, "The cosmological constant from the viewpoint of string theory," hep-ph/0002297;
42. Z. Kakushadze, Phys. Lett. B 489, 207 (2000);
43. N. Deruelle and T. Dolezel, Phys. Rev. D 62, 103502 (2000);
44. A. Krause, "A small cosmological constant, grand unification and warped geometry," hep-th/0006226;
45. S. Nojiri and S.D. Odintsov, J. High Energy Phys. 07, 049 (2000);
46. S. Nojiri and S. Odintsov, Phys. Lett. B 444, 92 (1998);
47. S. Nojiri, S.D. Odintsov, and S. Ogushi, Phys. Rev. D 62, 124002 (2000);
48. S. Nojiri, O. Obregon, S. Odintsov, and S. Ogushi, Phys. Rev. D ibid. 62, 064017 (2000);
49. S. Nojiri, S.D. Odintsov, and S. Ogushi, Phys. Lett. B 494, 318 (2000);
50. F.L. Lin and Y.S. Wu, J. High Energy Phys. 05, 043 (2000);
51. M. Fukuma, S. Matsuura, and T. Sakai, Prog. Theor. Phys. 104, 1089 (2000);
52. S. Nojiri, S.D. Odintsov, and S. Ogushi, Phys. Lett. B 500, 199 (2001);
53. P. Binetruy, J.M. Cline, and C. Grojean, Phys. Lett. B ibid. 489, 403 (2000).
54. V. Sahakian, J. High Energy Phys. 05, Oil (2000).
55. I. Low and A. Zee, Nucl. Phys. B585, 395 (2000).
56. E.T. Akhmedov, Phys. Lett. B 442, 152 (1998);
57. "Introduction to AdS/CFT correspondence," hep-th/9911095;
58. E. Alvarez and C. Gomez, Nucl. Phys. B541, 441 (1999);
59. D.Z. Freedman, S.S. Gubser, K. Pilch, and N.P. Warner, Adv. Theor. Math. Phys. 3, 363 (1999);
60. L. Girardello, M. Petrini, M. Porrati, and A. Zaffaroni, Nucl. Phys. B569, 451 (2000);
61. L. Girardello, M. Petrini, M. Porrati, and A. Zaffaroni, J. High Energy Phys. 12, 022 (1998);
62. B. Balasubramanian and P. Krauss, Phys. Rev. Lett. 83, 3605 (1999);
63. K. Skenderis and P.K. Townsend, Phys. Lett. B 468, 46 (1999);
64. O. De Wolfe, D.Z. Freedman, S.S. Gubser, and A. Karch, Phys. Rev. D 62, 046008 (2000);
65. C. Schmidhuber, Nucl. Phys. B580, 121 (2000);
66. M. Cvetic and J. Wang, Phys. Rev. D 61, 124020 (2000);
67. E. Alvarez and C. Gomez, Phys. Lett. B 476, 411 (2000);
68. M. Taylor-Robinson, "Holography for degenerate boundaries," hep-th/0001177;
69. C. Gomez, B. Janssen, and P. Suva, J. High Energy Phys. 04, 024 (2000);
70. K. Behrndt and M. Cvetic, J. High Energy Phys. ibid. 06, 015 (2000);
71. D. Anselmi, L. Girardello, M. Porrati, and A. Zaffaroni, Phys Lett. B 481,346 (2000);
72. S.S. Gubser, "Curvature singularitiesthe good, the bad and the naked," hep-th/0002160;
73. M. Petrinj and A. Zaffaroni, "The holographic RG flow to conformai and non-conformal theory," hep-th/0002172;
74. O. De Wolfe and D.Z. Freedman, "Notes on fluctuations and correlation functions in holographic renormalization group flows," hep-th/0002226;
75. C. Csaki, J. Erlich, T.J. Hollowood, and J. Terning, Phys. Rev. D 63, 065019 (2001);
76. G. Arutyunov, S. Frolov, and S. Theisen, Phys. Lett. B 484, 295 (2000);
77. V. Balasubramanian, E. Gimon, and D. Minie, J. High Energy Phys. 05,014 (2000);
78. V.L. Campos, G. Ferretti, H. Larsson, D. Martelli, and B.E.W. Nilsson, J. High Energy Phys. ibid. 06, 023 (2000);
79. G. Lifschytz and V. Periwal, J. High Energy Phys. ibid. 04, 026 (2000);
80. K. Oh and R. Tatar, J. High Energy Phys. ibid. 05, 030 (2000);
81. S. Corley, Phys. Lett. B 484, 141 (2000);
82. F.L. Lin and Y.S. Wu, J. High Energy Phys. 05, 043 (2000);
83. K. Behrndt, Phys. Lett. B 487, 30 (2000);
84. C.J. Zhu, J. High Energy Phys. 06, 034 (2000);
85. J. Ho, "Holographic stress tensor for Kerr-AdS black holes and local failure on IR-UV connection," hep-th/0005250;
86. A. Mironov and A. Morozov, Phys. Lett. B 490, 173 (2000);
87. A. Dhar and S.R. Wadia, Nucl. Phys. B590, 261 (2000);
88. K. Pilch and N.P. Warner, "N=\ supersymmetric renormalization group flows from IIB supergravity," hep-th/0006066;
89. D.A. Löwe, J. High Energy Phys. 04, Oil (2000);
90. S. Forste, Z. Lalak, S. Lavignac, and H.P. Milles, J. High Energy Phys. ibid. 09, 034 (2000);
91. R. Akhoury, "A variational principle for radial flows in holographic theories," hep-th/0007041;
92. M. Fukuma, S. Matsuura, and T. Sakai, Prog. Theor. Phys. 104, 1089 (2000);
93. O. Corradini and Z. Kakushadze, Phys. Lett. B 494, 302 (2000);
94. H. Collins and B. Holdom, Phys. Rev. D 63, 084020 (2001);
95. K.A. Meissner and M. Olechowski, Phys. Rev. Lett. 86, 3708 (2001);
96. S. Kachru, "Lectures on warped compactifications and stringy brane constructions," hep-th/0009247.
97. M.J. Duff, Class. Quantum Grav. 11, 1387 (1994);
98. B.S. DeWitt, Phys. Rep., Phys. Lett. 19, 297 (1975);
99. N.D. Birrell and P.C. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982);
100. S.A. Fulling, Aspects of Quantum Field Theory in Curved Space-time (Cambridge University Press, Cambridge, England, 1989);
101. M. Henningson and K. Skenderis, J. High Energy Phys. 07, 023 (1998).
102. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).
103. V.A. Rubakov and M.E. Shaposhnikov, Phys. Lett. 125B, 372 (1985);
104. Phys. Lett. 125B, 139 (1983);
105. S. Weinberg, Rev. Mod. Phys. 61,1 (1989);
106. R. Gregory, V.A. Rubakov, and S.M. Sibiryakov, Phys. Rev. Lett. 84, 5928 (2000);
107. H. Martel, P.R. Shapiro, and S. Weinberg, "Likely values of the cosmological constant," astro-ph/9701099;
108. S. Weinberg, "Theories of the cosmological constant," astro-ph/9610044;
109. "The cosmological constant problems," astro-ph/0005265;
110. Phys. Rev. D 61, 103505 (2000);
111. J.F. Donoghue, J. High Energy Phys. 08, 022 (2000).
112. J. Polchinski, Nucl. Phys. B231, 269 (1984);
113. J. Polchinski, "Effective field theory and the Fermi surface," hep-th/9210046.
114. R.C. Myers, Phys. Rev. D 36, 392 (1987).
115. G.G. Callan, R.C. Myers, and M.J. Perry, Nucl. Phys. B311, 673 (1989).
116. J. Polchinski, String Theory, Vols. 1 and 2 of Cambridge Monographs On Mathematical Physics (Cambridge University Press, Cambridge, England, 1998);
117. M.B. Green, J.K. Schwarz, and E. Witten, Siiperstring Theory, (Cambridge University Press, Cambridge, England, 1987), Vols. 1 and 2 .
118. S. Weinberg, Physica A 96, 327 (1979);
119. J.F. Donoghue, Phys. Rev. D 50, 3874 (1994);
120. J.F. Donoghue, "Introduction to the effective field theory description of gravity," gr-qc/9512024;
121. C.P. Burgess, "An Ode to effective Lagrangians," hep-ph/9812470.
122. M. Li, Nucl. Phys. B579, 525 (2000).
123. M. Bianchi, M.B. Green, S. Kovacs, and G. Rossi, J. High Energy Phys. 08, 013 (1998).
124. J. Khoury and H. Verlinde, Adv. Theor. Math. Phys. 3, 1893 (1999).
125. C.S. Chan, P.L. Paul, and H. Verlinde, Nucl. Phys. B581, 156 (2000).
126. R. Wald, General Relativity (The University of Chicago Press, Chicago, 1984).
127. A.M. Polyakov, in Proceedings Strings '97, Amsterdam, edited by F.A. Bais et al.;
128. A.M. Polyakov and V.S. Rychkov, Nucl. Phys. B594, 272 (2001);
129. A.M. Polyakov and V.S. Rychkov, Nucl. Phys. B581, 116 (2000).
130. N. Hambli (in préparation).