Hagedorn inflation of D-branes

Journal of High Energy Physics

Volumn 5, Issue 1, 2001, Pages

  Abel, Steven A ^a   Freese, Katherine ^b,c   Kogan, Ian I ^d  

^a UNIVERSITÉ PARIS SUD   (France)

^b UNIVERSITY OF MICHIGAN   (United States)

^c MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^d UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Cosmology of Theories beyond the SM; D branes; Physics of the Early Universe

Indexed keywords

EID: 33744841744     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/01/039     Document Type: Article

References (105)

1. A.H. Guth, The inflationary universe: a possible solution to the horizon and flatness problems, Phys. Rev. D 23 (1981) 347.
2. R. Hagedorn, Statistical thermodynamics of strong interactions at high-energies, Nuovo Cim. Suppl. 3 (1965) 147;
3. S. Frautschi, Statistical bootstrap model of hadrons, Phys. Rev. D 3 (1971) 2821;
4. R.D. Carlitz, Hadronic matter at high density, Phys. Rev. D 5 (1972) 3231.
5. K. Huang and S. Weinberg, Ultimate temperature and the early universe, Phys. Rev. Lett. 25 (1970) 895;
6. E. Alvarez, Super-string cosmology, Phys. Rev. D 31 (1985) 418;
7. Strings at finite temperature, Nucl. Phys. B 269 (1986) 596;
8. M.J. Bowick and L.C.R. Wijewardhana, Super-strings at high temperature, Phys. Rev. Lett. 54 (1985) 2485;
9. B. Sundborg, Thermodynamics of super-strings at high-energy densities, Nucl. Phys. B 254 (1985) 583;
10. S.H.H. Tye, The limiting temperature universe and super-string, Phys. Lett. B 158 (1985) 388;
11. P. Salomonson and B.-S. Skagerstam, On superdense super-string gases: a heretic string model approach, Nucl. Phys. B 268 (1986) 349;
12. Strings at finite temperature, Physica A158 (1989) 499;
13. E. Alvarez and M.A.R. Osorio, Super-strings at finite temperature, Phys. Rev. D 36 (1987) 1175;
14. D. Mitchell and N. Turok, Statistical mechanics of cosmic strings, Phys. Rev. Lett. 58 (1987) 1577;
15. Statistical properties of cosmic strings, Nucl. Phys. B 294 (1987) 1138;
16. I. Antoniadis, J. Ellis and D.V. Nanopoulos, Universality of the mass spectrum in closed string models, Phys. Lett. B 199 (1987) 402;
17. M. Axenides, S.D. Ellis and C. Kounnas, Universal behavior of d-dimensional superstring models, Phys. Rev. D 37 (1988) 2964;
18. I.I. Kogan, Vortices on the world sheet and string's critical dynamics, Sov. Phys. JETP Lett. 45 (1987) 709;
19. B. Sathiapalan, Vortices on the string world sheet and constraints on toral compactification, Phys. Rev. D 35 (1987) 3277;
20. J.J. Atick and E. Witten, The Hagedorn transition and the number of degrees of freedom of string theory, Nucl. Phys. B 310 (1988) 291;
21. A.A. Abrikosov Jr. and Ya. I. Kogan, Vortices on the string and super-string world sheets, Int. J. Mod. Phys. A 6 (1991) 1501,
22. Sov. Phys. JETP 69 (1989) 235;
23. R. Brandenberger and C. Vafa, Super-strings in the early universe, Nucl. Phys. B 316 (1989) 391;
24. M.J. Bowick and S.B. Giddings, High temperature strings, Nucl. Phys. B 325 (1989) 631;
25. S.B. Giddings, Strings at the Hagedorn temperature, Phys. Lett. B 226 (1989) 55;
26. R. Brandenberger and C. Vafa, Super-strings in the early universe, Nucl. Phys. B 316 (1989) 391;
27. F. Englert and J. Orloff, Universality of the closed string phase transition, Nucl. Phys. B 334 (1990) 472;
28. B.A. Campbell, J. Ellis, S. Kalara, D.V. Nanopoulos and K.A. Olive, Phase transitions in QCD and string theory, Phys. Lett. B 255 (1991) 420;
29. B.A. Campbell, N. Kaloper and K.A. Olive, An open cosmological model in string theory, Phys. Lett. B 277 (1992) 265;
30. S.A. Abel, Thermodynamic determination of the string vacuum?, Nucl. Phys. B 372 (1992) 189;
31. S.D. Odintsov, The hagedorn temperature for noncritical super-string, Phys. Lett. B 274 (1992) 338;
32. String theory at nonzero temperature and two-dimensional gravity, Nuovo Cim. 15 (1992) 1;
33. N. Kaloper, K.A. Olive, Dilatons in string cosmology, Astropart. Phys. 1 (1995) 185;
34. N. Kaloper, R. Madden and K.A. Olive, Axions and the graceful exit problem in string cosmology, Phys. Lett. B 371 (1996) 34 [hep-th/9510117];
35. Towards a singularity-free inflationary universe?, Nucl. Phys. B 452 (1995) 677 [hep-th/9506027];
36. M.L. Meana, M.A. R. Osorio and J.P. Penalba, The string density of states from the convolution theorem, Phys. Lett. B 400 (1997) 275 [hep-th/9701122];
37. Counting closed string states in a box, Phys. Lett. B 408 (1997) 183 [hep-th/9705185];
38. K.R. Dienes, E. Dudas, T. Gherghetta and A. Riotto, Cosmological phase transitions and radius stabilization in higher dimensions, Nucl. Phys. B 543 (1999) 387 [hep-ph/9809406].
39. N. Deo, S. Jain and C.-I. Tan, Strings at high-energy densities and complex temperature, Phys. Lett. B 220 (1989) 125;
40. String statistical mechanics above Hagedorn energy density, Phys. Rev. D 40 (1989) 2626;
41. N. Deo, S. Jain, O. Narayan and C.-I. Tan, The effect of topology on the thermodynamic limit for a string gas, Phys. Rev. D 45 (1992) 3641.
42. D.A. Lowe and L. Thorlacius, Hot string soup, Phys. Rev. D 51 (1995) 665 [hep-th/9408134];
43. S. Lee and L. Thorlacius, Strings and D-branes at high temperature, Phys. Lett. B 413 (1997) 303 [hep-th/9707167].
44. J.L.F. Barbón, I.I. Kogan and E. Rabinovici, On stringy thresholds in SYM/AdS thermodynamics, Nucl. Phys. B 544 (1999) 104 [hep-th/9809033];
45. S.A. Abel, J.L. F. Barbón, I.I. Kogan and E. Rabinovici, String thermodynamics in D-brane backgrounds, J. High Energy Phys. 04 (1999) 015 [hep-th/9902058].
46. M.L. Meana and J.P. Peñalba, On the microcanonical description of D-brane thermodynamics, Nucl. Phys. B 560 (1999) 154 [hep-th/9903039];
47. Matrix strings, compactification scales and hagedorn transition, Phys. Lett. B 447 (1999) 59 [hep-th/9811170];
48. M.A. Vazquez-Mozo, A note on supersymmetric Yang-Mills thermodynamics, Phys. Rev. D 60 (1999) 106010 [hep-th/9905030];
49. B. Sundborg, The hagedorn transition, deconfinement and N = 4 SYM theory, Nucl. Phys. B 573 (2000) 349 [hep-th/9908001];
50. S.A. Abel, J.L. F. Barbón, I.I. Kogan and E. Rabinovici, Some thermodynamical aspects of string theory, hep-th/9911004.
51. For reviews see J. Polchinski, Tasi lectures on D-branes, hep-th/9611050;
52. String theory, vols. 1,2 Cambridge University Press 1998;
53. C.P. Bachas, Lectures on D-branes, hep-th/9806199.
54. S.A. Abel and E. Dudas, in preparation.
55. P. Kanti, I.I. Kogan, K.A. Olive and M. Pospelov, Cosmological 3-brane solutions, Phys. Lett. B 468 (1999) 31 [hep-ph/990948l];
56. Single-brane cosmological solutions with a stable compact extra dimension, Phys. Rev. D 61 (2000) 106004 [hep-ph/9912266].
57. 2, Int. J. Mod. Phys. D8 (1999) 153 [hep-th/9804096];
58. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phenomenology, astrophysics and cosmology of theories with sub-millimeter dimensions and TeV scale quantum gravity, Phys. Rev. D 59 (1999) 086004 [hep-ph/9807344];
59. H.S. Reall, Open and closed cosmological solutions of Hořava- Witten theory, Phys. Rev. D 59 (1999) 103506 [hep-th/9809195];
60. N. Kaloper and A. Linde, Inflation and large internal dimensions, Phys. Rev. D 59 (1999) 101303 [hep-th/9811141];
61. G. Dvali and S.H. H. Tye, Brane inflation, Phys. Lett. B 450 (1999) 72 [hep-ph/9812483];
62. A. Lukas, B.A. Ovrut and D. Waldram, Boundary inflation, Phys. Rev. D 61 (2000) 023506 [hep-th/9902071];
63. T. Banks, M. Dine and A. Nelson, Constraints on theories with large extra dimensions, J. High Energy Phys. 06 (1999) 014 [hep-th/9903019];
64. H.A. Chamblin and H.S. Reall, Dynamic dilatonic domain walls, Nucl. Phys. B 562 (1999) 133 [hep-th/9903225];
65. N. Arkani-Hamed, S. Dimopoulos, N. Kaloper and J. March-Russell, Rapid asymmetric inflation and early cosmology in theories with sub-millimeter dimensions, Nucl. Phys. B 567 (2000) 189 [hep-ph/9903224] ;
66. Early inflation and cosmology in theories with sub- millimeter dimensions, hep-ph/9903239;
67. P. Binétruy, C. Deffayet and D. Langlois, Non-conventional cosmology from a braneuniverse, Nucl. Phys. B 565 (2000) 269 [hep-th/9905012];
68. N. Kaloper, Bent domain walls as brane-worlds, Phys. Rev. D 60 (1999) 123506 [hep-th/9905210];
69. T. Nihei, Inflation in the five-dimensional universe with an orbifold extra dimension, Phys. Lett. B 465 (1999) 81 [hep-ph/9905487];
70. C. Csáki, M. Graesser, C. Kolda and J. Terning, Cosmology of one extra dimension with localized gravity, Phys. Lett. B 462 (1999) 34 [hep-ph/9906513];
71. J.M. Cline, C. Grojean and G. Servant, Cosmological expansion in the presence of extra dimensions, Phys. Rev. Lett. 83 (1999) 4245 [hep-ph/9906523].
72. D.J.H. Chung and K. Freese, Cosmological challenges in theories with extra di-mensions and remarks on the horizon problem, Phys. Rev. D 61 (2000) 023511 [hep-ph/9906542].
73. W.D. Goldberger and M.B. Wise, Bulk fields in the randall-sundrum compactification scenario, Phys. Rev. D 60 (1999) 107505 [hep-ph/9907218];
74. Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447];
75. H.B. Kim and H.D. Kim, Inflation and gauge hierarchy in Randall-Sundrum compactification, Phys. Rev. D 61 (2000) 064003 [hep-th/9909053].
76. U. Ellwanger, Constraints on a brane-worid from the vanishing of the cosmological constant, Phys. Lett. B 473 (2000) 233 [hep-th/9909103].
77. T. Shiromizu, K. ichi Maeda and M. Sasaki, The einstein equations on the 3-brane world, Phys. Rev. D 62 (2000) 024012 [gr-qc/9910076];
78. C. Grojean, J. Cline and G. Servant, Super-gravity inspired warped compactifications and effective cosmological constants, Nucl. Phys. B 578 (2000) 259 [hep-th/9910081];
79. P. Kraus, Dynamics of anti-de Sitter domain walls, J. High Energy Phys. 12 (1999) Oil [hep-th/9910149];
80. P. Binétruy, C. Deffayet, U. Ellwanger and D. Langlois, Brune cosmological evolution in a bulk with cosmological constant, Phys. Lett. B 477 (2000) 285 [hep-th/9910219];
81. A. Kehagias and E. Kiritsis, Mirage cosmology, J. High Energy Phys. 11 (1999) 022 [hep-th/9910174];
82. E.E. Flanagan, S.H.H. Tye and I. Wasserman, Cosmological expansion in the RandallSundrum brune world scenario, Phys. Rev. D 62 (2000) 044039 [hep-ph/9910498];
83. D. Ida, Brane-world cosmology, J. High Energy Phys. 09 (2000) 014 [gr-qc/9912002];
84. C. Csáki, M. Graesser, L. Randall and J. Terning, Cosmology of brune models with radion stabilization, Phys. Rev. D 62 (2000) 045015 [hep-ph/9911406];
85. W.D. Goldberger and M.B. Wise, Phenomenology of a stabilized modulus, Phys. Lett. B 475 (2000) 275 [hep-ph/9911457].
86. O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, large-N field theories, string theory and gravity, Phys. Rep. 323 (2000) 183 [hep-th/9905111].
87. C. Deffayet, private communication.
88. D. Chung and K.T. Freese, Can geodesies in extra dimensions solve the horizon problem?, Phys. Rev. D 62 (2000) 063513 [hep-th/9910235].
89. R. Brout, F. Englert and E. Gunzig, The creation of the universe as a quantum phenomenon, Ann. Phys. (NY) 115 (1978) 78;
90. The causal universe, Gen. Rel. Grav. 10 (1979) 1;
91. R. Brout, F. Englert and P. Spindel, Cosmological origin of the grand unification mass scale, Phys. Rev. Lett. 43 (1979) 417;
92. Y. Aharonov and A. Casher, On the origin of the universe in the context of string models, Phys. Lett. B 166 (1986) 289;
93. Y. Aharonov, F. Englert and J. Orloff, Macroscopic fundamental strings in cosmology, Phys. Lett. B 199 (1987) 366.
94. N. Turok, String driven inflation, Phys. Rev. Lett. 60 (1988) 549.
95. N. Sanchez and G. Veneziano, Jeans like instabilities for strings in cosmological backgrounds, Nucl. Phys. B 333 (1990) 253;
96. M. Gasperini, N. Sanchez and G. Veneziano, Highly unstable fundamental strings in inflationary cosmologies, Int. J. Mod. Phys. A 6 (1991) 3853;
97. Selfsustained inflation and dimensional reduction from fundamental strings, Nucl. Phys. B 364 (1991) 365.
98. R. Brustein, S. Foffa and R. Sturani, Generalized second law in string cosmology, Phys. Lett. B 471 (2000) 352 [hep-th/9907032];
99. R. Brustein, The generalized second law of thermodynamics in cosmology, Phys. Rev. Lett. 84 (2000) 2072 [gr-qc/9904061].
100. A. Riotto, D-branes, string cosmology and large extra dimensions, Phys. Rev. D 61 (2000) 123506 [hep-ph/9904485].
101. E. Alvarez and T. Ortin, Asymptotic density of states of p-branes, Mod. Phys. Lett. A 7 (1992) 2889;
102. A.A. Bytsenko, K. Kirsten and S. Zerbini, Meinardus' theorem and the asymptotic form of quantum p-brane state density, Phys. Lett. B 304 (1993) 235;
103. A.A. Bytsenko and S.D. Odintsov, Statistical entropy of near-extremal and fundamental black p-branes, Prog. Theor. Phys. 98 (1997) 987;
104. I.R. Klebanov and A.A. Tseytlin, Near-extremal black hole entropy and fluctuating 3-branes, Nucl. Phys. B 479 (1996) 319 [hep-th/9607107];
105. J.P. Penalba, Non-perturbative thermodynamics in matrix string theory, Nucl. Phys. B 556 (1999) 152 [hep-th/9904094].