Aspects of quantum gravity in de Sitter spaces

Journal of Cosmology and Astroparticle Physics

Volumn , Issue 11, 2004, Pages 73-104

  Klemm, Dietmar ^a,b   Vanzo, Luciano ^c,d  

^a UNIVERSITY OF MILAN   (Italy)

^b INFN SEZIONE DI MILANO   (Italy)

^c UNIVERSITY OF TRENTO   (Italy)

^d INFN TIFPA   (Italy)

Author keywords

Gravity; String theory and cosmology

Indexed keywords

EID: 23244463915     PISSN: 14757516     EISSN: None     Source Type: Journal    
DOI: 10.1088/1475-7516/2004/11/006     Document Type: Review

References (130)

1. Riess A G et al (Supernova Search Team Collaboration), Observational evidence from supernovae for an accelerating universe and a cosmological constant, 1998 Astron. J. 116 1009 [SPIRES] [astro-ph/9805201]
2. Perlmutter S et al (Supernova Cosmology Project Collaboration), Measurements of Omega and Lambda from 42 high-redshift supernovae, 1999 Astrophys. J. 517 565 [SPIRES] [astro-ph/9812133]
3. Bennett C L et al, First year Wilkinson microwave anisotropy probe (WMAP) observations: preliminary maps and basic results, 2003 Astrophys. J. Suppl. 148 1 [astro-ph/0302207]
4. Weinberg S, The cosmological constant problem, 1989 Rev. Mod. Phys. 61 1 [SPIRES]
5. Carroll S M, The cosmological constant, 2001 Living Rev. Rel. 4 1 [astro-ph/0001 4075]
6. Ellwanger U, The cosmological constant, 2002 Preprint hep-ph/0203252
7. Peebles P J and Ratra B, The cosmological constant and dark energy, 2003 Rev. Mod. Phys. 75 559 [SPIRES] [astro-ph/0207347]
8. 't Hooft G, Dimensional reduction in quantum gravity, 1993 Preprint gr-qc/9310026
9. Susskind L, The World as a hologram, 1995 J. Math. Phys. 36 6377 [SPIRES] [hep-th/9409089]
10. Bousso R, Holography in general space-times, 1999 J. High Energy Phys. JHEP06(1999)028 [SPIRES] [hep-th/9906022]
11. Witten E, Anti-de Sitter space and holography, 1998 Adv. Theor. Math. Phys. 2 253 [SPIRES] [hep-th/9802150]
12. Maldacena J M, The large N limit of superconformal field theories and supergravity, 1998 Adv. Theor. Math. Phys. 2 231 [SPIRES] [hep-th/971 1200]
13. Maldacena J M, The large N limit of superconformal field theories and supergravity, 1999 Int. J. Theor. Phys. 38 1113 [SPIRES]
14. Gibbons G W, Aspects of supergravity theories, 1984 Three Lectures Given at GIFT Seminar on Theoretical Physics (San Feliu de Guixols, Spain, June 1984) Print-85-0061 (Cambridge)
15. Maldacena J M and Nuñez C, Supergravity description of field theories on curved manifolds and a no go theorem, 2001 Int. J. Mod. Phys. A 16 822 [SPIRES] [hep-th/0007018]
16. Gibbons G W and Hawking S W, Cosmological event horizons, thermodynamics, and particle creation, 1977 Phys. Rev. D 15 2738 [SPIRES]
17. Strominger A and Vafa C, Microscopic origin of the Bekenstein-Hawking entropy, 1996 Phys. Lett. B 379 99 [SPIRES] [hep-th/9601029]
18. Maldacena J M and Strominger A, Statistical entropy of de Sitter space, 1998 J. High Energy Phys. JHEP02(1998)014 [SPIRES] [gr-qc/9801096]
19. Banados M, Brotz T and Ortiz M E, Quantum three-dimensional de Sitter space, 1999 Phys. Rev. D 59 046002 [SPIRES] [hep-th/9807216]
20. Hawking S, Maldacena J M and Strominger A, De Sitter entropy, quantum entanglement and AdS/CFT, 2001 J. High Energy Phys. JHEP05(2001)001 [SPIRES] [hep-th/0002145]
21. 2 supergravity and superconformal quantum mechanics, 2003 Ann. Phys., NY 304 128 [SPIRES] [hep-th/0212096]
22. Park M I, Statistical entropy of three-dimensional Kerr-de Sitter space, 1998 Phys. Lett. B 440 275 [SPIRES] [hep-th/9800119]
23. Witten E, Quantum gravity in de Sitter space, 2001 Preprint hep-th/0106109
24. Strominger A, The dS/CFT correspondence, 2001 J. High Energy Phys. JHEP10(2001)034 [SPIRES] [hep-th/0106113]
25. Banks T, Cosmological breaking of supersymmetry or little Lambda goes back to the future. II, 2000 Preprint hep-th/0007146
26. Fischler W, Taking de Sitter seriously, 2000 Talk Given at Role of Scaling Laws in Physics and Biology (Celebrating the 60th Birthday of G West) (Santa Fe, Dec. 2000)
27. Balasubramanian V, Accelerating universes and string theory, 2004 Class. Quantum Grav. 21 S1337 [SPIRES] [hep-th/0404075]
28. Nachtmann O, Quantum theory in de Sitter space, 1967 Commun. Math. Phys. 6 1 [SPIRES]
29. Chernikov N A and Tagirov E A, Quantum theory of scalar fields in de Sitter space-time, 1968 Ann. Poincaré Phys. Theor. A 9 109
30. Tagirov E A, Consequences of field quantization in de Sitter type cosmological models, 1973 Ann. Phys., NY 76 561 [SPIRES]
31. Fulling S A, Scalar quantum field theory in a closed universe of constant curvature, 1972 PhD Thesis Princeton University (unpublished)
32. Figari R, Hoegh-Krohn R and Nappi C R, Interacting relativistic boson fields in the de Sitter universe with two space-time dimensions, 1975 Commun. Math. Phys. 44 265 [SPIRES]
33. Géhéniau J and Schlomblond C, 1968 Acad. R. Belg. Bull. Cl. Sci. 54 1147
34. Mottola E, Particle creation in de Sitter space, 1985 Phys. Rev. D 31 754 [SPIRES]
35. Allen B, Vacuum states in de Sitter space, 1985 Phys. Rev. D 32 3136 [SPIRES]
36. Burges C J C, The de Sitter vacuum, 1984 Nucl. Phys. B 247 533 [SPIRES]
37. Bousso R, Maloney A and Strominger A, Conformal vacua and entropy in de Sitter space, 2002 Phys. Rev. D 65 104039 [SPIRES] [hep-th/0112218]
38. Einhorn M B and Larsen F, Interacting quantum field theory in de Sitter vacua, 2003 Phys. Rev. D 67 024001 [SPIRES] [hep-th/0209159]
39. Danielsson U H, On the consistency of de Sitter vacua, 2002 J. High Energy Phys. JHEP12(2002)025 [SPIRES] [hep-th/0210058]
40. Collins H, Holman R and Martin M R, The fate of the alpha-vacuum, 2003 Phys. Rev. D 68 124012 [SPIRES] [hep-th/0306028]
41. de Boer J, Jejjala V and Minic D, Alpha-states in de Sitter space, 2004 Preprint hep-th/0406217
42. Linde A D, Scalar field fluctuations in expanding universe and the new inflationary universe scenario, 1982 Phys. Lett. B 116 335 [SPIRES]
43. Starobinsky A A, Dynamics of phase transition in the new inflationary universe scenario and generation of perturbations, 1982 Phys. Lett. B 117 175 [SPIRES]
44. Vilenkin A and Ford L H, Gravitational effects upon cosmological phase transitions, 1982 Phys. Rev. D 26 1231 [SPIRES]
45. Ford L H and Parker L, Infrared divergences in a class of Robertson-Walker universes, 1977 Phys. Rev. D 16 245 [SPIRES]
46. Allen B and Folacci A, The massless minimally coupled scalar field in de Sitter space, 1987 Phys. Rev. D 35 3771 [SPIRES]
47. Ford L H, Quantum instability of de Sitter space-time, 1985 Phys. Rev. D 31 710 [SPIRES]
48. Kirsten K and Garriga J, Massless minimally coupled fields in de Sitter space: O(4) symmetric states versus de Sitter invariant vacuum, 1993 Phys. Rev. D 48 567 [SPIRES] [gr-qc/9305013]
49. Tolley A J and Turok N, Quantization of the massless minimally coupled scalar field and the dS/CFT correspondence, 2001 Preprint hep-th/0108119
50. Sciama D W, Candelas P and Deutsch D, Quantum field theory, horizons and thermodynamics, 1981 Adv. Phys. 30 327 [SPIRES]
51. Myhrvold N P, Runaway particle production in de Sitter space, 1983 Phys. Rev. D 28 2439 [SPIRES]
52. Myhrvold N P, The existence and stability of semiclassical de Sitter and anti-de Sitter space-times, 1983 Phys. Lett. B 132 308 [SPIRES]
53. Tsamis N C and Woodard R P, Mode analysis and Ward identities for perturbative quantum gravity in de Sitter space, 1992 Phys. Lett. B 292 269 [SPIRES]
54. Tsamis N C and Woodard R P, Relaxing the cosmological constant, 1993 Phys. Lett. B 301 351 [SPIRES]
55. Tsamis N C and Woodard R P, The structure of perturbative quantum gravity on a de Sitter background, 1994 Commun. Math. Phys. 162 217 [SPIRES]
56. Tsamis N C and Woodard R P, The physical basis for infrared divergences in inflationary quantum gravity, 1994 Class. Quantum Grav. 11 2969 [SPIRES]
57. Tsamis N C and Woodard R P, Strong infrared effects in quantum gravity, 1995 Ann. Phys., NY 238 1 [SPIRES]
58. Tsamis N C and Woodard R P, Quantum gravity slows inflation, 1996 Nucl. Phys. B 474 235 [SPIRES] [hep-ph/9602315]
59. Ginsparg P H and Perry M J, Semiclassical perdurance of de Sitter space, 1983 Nucl. Phys. B 222 245 [SPIRES]
60. Banks T and Fischler W, M-theory observables for cosmological space-times, 2001 Preprint hep-th/0102077
61. Bousso R, Positive vacuum energy and the N-bound, 2000 J. High Energy Phys. JHEP11(2000)038 [SPIRES] [hep-th/0010252]
62. Kastor D and Traschen J, A positive energy theorem for asymptotically de Sitter spacetimes, 2002 Class. Quantum Grav. 19 5901 [SPIRES] [hep-th/0206105]
63. Klemm D, Some aspects of the de Sitter/CFT correspondence, 2002 Nucl. Phys. B 625 295 [SPIRES] [hep-th/0106247]
64. Spradlin M, Strominger A and Volovich A, Les Hauches lectures on de Sitter space, 2001 Preprint hep-th/0110007
65. Hawking S W and Ellis G F R, 1973 The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics) (Cambridge: Cambridge University Press)
66. 2, 2003 Phys. Rev. D 67 064005 [SPIRES] [hep-th/0209120]
67. Goheer N, Kleban M and Susskind L, The trouble with de Sitter space, 2003 J. High Energy Phys. JHEP07(2003)056 [SPIRES] [hep-th/0212209)]
68. McInnes B, De Sitter and Schwarzschild-de Sitter according to Schwarzschild and de Sitter, 2003 J. High Energy Phys. JHEP09(2003)009 [SPIRES] [hep-th/0308022]
69. McInnes B, Orbifold physics and de Sitter spacetime, 2003 Preprint hep-th/0311055
70. Abbott L F and Deser S, Stability of gravity with a cosmological constant, 1982 Nucl. Phys. B 195 76 [SPIRES]
71. Witten E, A simple proof of the positive energy theorem, 1981 Commun. Math. Phys. 80 381 [SPIRES]
72. Breitenlohner P and Freedman D Z, Positive energy in anti-de Sitter backgrounds and gauged extended supergravity, 1982 Phys. Lett. B 115 197 [SPIRES]
73. Breitenlohner P and Freedman D Z, Stability in gauged extended supergravity, 1982 Ann. Phys., NY 144 249 [SPIRES]
74. Gibbons G W, Hull C M and Warner N P, The stability of gauged supergravity, 1983 Nucl. Phys. B 218 173 [SPIRES]
75. Pilch K, van Nieuwenhuizen P and Sohnius M F, De Sitter superalgebras and supergravity, 1985 Commun. Math. Phys. 98 105 [SPIRES]
76. McKeon D G C and Sherry T N, Supersymmetry in spaces of constant curvature, 2003 Preprint hep-th/0301127
77. Shiromizu T, Ida D and Torii T, Gravitational energy, dS/CFT correspondence and cosmic no-hair, 2001 J. High Energy Phys. JHEP11(2001)010 [SPIRES] [hep-th/0109057]
78. Astefanesei D, Mann R and Radu E, Reissner-Nordstroem-de Sitter black hole, planar coordinates and dS/CFT, 2004 J. High Energy Phys. JHEP01(2004)029 [SPIRES] [hep-th/0310273]
79. Gibbons G W, Thoughts on tachyon cosmology, 2003 Class. Quantum Grav. 20 S321 [SPIRES] [hep-th/0301117]
80. Hull C M, Timelike T-duality. de Sitter space, large N gauge theories and topological field theory, 1998 J. High Energy Phys. JHEP07(1998)021 [SPIRES] [hep-th/9806146]
81. Gibbons G W and Hull C M, De Sitter space from warped supergravity solutions, 2001 Preprint hep-th/0111072
82. Fré P, Trigiante M and Van Proeyen A, Stable de Sitter vacua from N = 2 supergravity, 2002 Class. Quantum Grav. 19 4167 [SPIRES] [hep-th/0205119]
83. Giddings S B, Kachru S and Polchinski J, Hierarchies from fluxes in string compactifications, 2002 Phys. Rev. D 66 106006 [SPIRES] [hep-th/0105097]
84. Kachru S, Kallosh R, Linde A and Trivedi S P, De Sitter vacua in string theory, 2003 Phys. Rev. D 68 046005 [SPIRES] [hep-th/0301240]
85. Townsend P K and Wohlfarth M N R, Accelerating cosmologies from compactification, 2003 Phys. Rev. Lett. 91 061302 [SPIRES] [hep-th/0303097]
86. Ohta N, Accelerating cosmologies from S-branes, 2003 Phys. Rev. Lett. 91 061303 [SPIRES] [hep-th/(0303238]
87. Ohta N, A study of accelerating cosmologies from superstring/M theories, 2003 Prog. Theor. Phys. 110 269 [SPIRES] [hep-th/0304172]
88. Roy S, Accelerating cosmologies from M/string theory compactifications, 2003 Phys. Lett. B 567 322 [SPIRES] [hep-th/0304084]
89. Chen C M, Ho P M, Neupane I P, Ohta N and Wang J E, Hyperbolic space cosmologies, 2003 J. High Energy Phys. JHEP10(2003)058 [SPIRES] [hep-th/0306291]
90. Neupane I P, Accelerating cosmologies from exponential potentials, 2003 Preprint hep-th/0311071
91. Gutperle M and Strominger A, Spacelike branes, 2002 J. High Energy Phys. JHEP04(2002)018 [SPIRES] [hep-th/0202210]
92. Emparan R and Garriga J, A note on accelerating cosmologies from compactifications and S-branes, 2003 J. High Energy Phys. JHEP05(2003)028 [SPIRES] [hep-th/0304124]
93. Gutperle M, Kallosh R and Linde A, M/string theory, S-branes and accelerating universe, 2003 J. Cosmol. Astropart. Phys. JCAP07(2003)001 [SPIRES] [hep-th/0304225]
94. Chen C M, Gal'tsov D V and Gutperle M, S-brane solutions in supergravity theories, 2002 Phys. Rev. D 66 024043 [SPIRES] [hep-th/0201071]
95. Kruczenski M, Myers R C and Peet A W, Supergravity S-branes, 2002 J. High Energy Phys. JHEP05(2002)039 [SPIRES] [hep-th/0204144]
96. Roy S, On supergravity solutions of space-like Dp-branes, 2002 J. High Energy Phys. JHEP08(2002)025 [SPIRES] [hep-th/0205198]
97. Ohta N, Intersection rules for S-branes, 2003 Phys. Lett. B 558 213 [SPIRES] [hep-th/0301095]
98. Park M I, Symmetry algebras in Chern-Simons theories with boundary: Canonical approach, 1999 Nucl. Phys. B 544 377 [SPIRES] [hep-th/9811033]
99. de Medeiros P, Hull C M, Spence B and Figueroa-O'Farrill J M, Conformal topological Yang-Mills theory and de Sitter holography, 2002 J. High Energy Phys. JHEP08(2002)055 [SPIRES] [hep-th/0111190]
100. Nojiri S and Odintsov S D, Conformal anomaly from dS/CFT correspondence, 2001 Phys. Lett. B 519 145 [SPIRES] [hep-th/0106191]
101. Nojiri S and Odintsov S D, Quantum cosmology, inflationary brane-world creation and dS/CFT correspondence, 2001 J. High Energy Phys. JHEP12(2001)033 [SPIRES] [hep-th/0107134]
102. Cvetič M, Nojiri S and Odintsov S D, Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity, 2002 Nucl. Phys. B 628 295 [SPIRES] [hep-th/0112045]
103. Witten E, (2 + 1)-dimensional, gravity as an exactly soluble system, 1988 Nucl. Phys. B 311 46 [SPIRES]
104. Elitzur S, Moore G W, Schwimmer A and Seiberg N, Remarks on the canonical quantization of the Chern-Simons-Witten theory, 1989 Nucl. Phys. B 326 108 [SPIRES]
105. Cacciatori S and Klemm D, The asymptotic dynamics of de Sitter gravity in three dimensions, 2002 Class. Quantum Grav. 10 579 [SPIRES] [hep-th/0110031]
106. Klemm D and Vanzo L, De Sitter gravity and Liouville theory, 2002 J. High Energy Phys. JHEP04(2002)030 [SPIRES] [hep-th/0203268]
107. Seiberg N, Notes on quantum Liouville theory and quantum gravity, 1990 Prog. Theor. Phys. Suppl. 102 319 [SPIRES]
108. Deser S and Jackiw R, Three-dimensional cosmological gravity: dynamics of constant curvature, 1984 Ann. Phys., NY 153 405 [SPIRES]
109. Ginsparg P and Moore G W, Lectures on 2-D gravity and 2-D string theory, 1993 Preprint hep-th/9304011
110. Balasubramanian V, de Boer J and Minic D, Exploring de Sitter space and holography, 2002 Class. Quantum Grav. 10 5655 [SPIRES] [hep-th/0207245]
111. Balasubramanian V, de Boer J and Minic D, Exploring de Sitter space and holography, 2003 Ann. Phys., NY 303 59 [SPIRES]
112. Abdalla E, Castello-Branco K H C and Lima-Santos A, Support of dS/CFT correspondence from space-time perturbations, 2002 Phys. Rev. D 66 104018 [SPIRES] [hep-th/0208065]
113. Du D P, Wang B and Su R K, Quasinormal modes in pure de Sitter spacetimes, 2004 Preprint hep-th/0404047
114. Dyson L, Lindesay J and Susskind L, Is there really a de Sitter/CFT duality, 2002 J. High Energy Phys. JHEP08(2002)045 [SPIRES] [hep-th/0202163]
115. Kabat D and Lifschytz G, De Sitter entropy from conformal field theory, 2002 J. High Energy Phys. JHEP04(2002)019 [SPIRES] [hep-th/0203083]
116. Wald R M, Black hole entropy is Noether charge, 1993 Phys. Rev. D 48 3427 [SPIRES] [gr-qc/9307038]
117. Horowitz G T and Itzhaki N, unpublished
118. Arnowitt R, Deser S and Misner C W, The dynamics of general relativity, 2004 Preprint gr-qc/0405109
119. Gimon E G and Hashimoto A, Black holes in Gödel universes and pp-waves, 2003 Phys. Rev. Lett. 91 021601 [SPIRES] [hep-th/0304181]
120. Strominger A, private communication
121. Guijosa A and Lowe D A, A new twist on dS/CFT, 2004 Phys. Rev. D 69 106008 [SPIRES] [hep-th/0312282]
122. Lowe D A, q-deformed de Sitter/conformal field theory correspondence, 2004 Preprint hep-th/0407188
123. Banks T, Some thoughts on the quantum theory of de Sitter space, 2003 Preprint astro-ph/0305037
124. Li M, Matrix model for de. Sitter, 2002 J. High Energy Phys. JHEP04(2002)005 [SPIRES] [hep-th/0106184]
125. Parikh M K and Verlinde E, De Sitter space with finitely many states: a toy story, 2004 Preprint hep-th/0403140
126. Bros J, Epstein H and Moschella U, Analyticity properties and thermal effects for general, quantum field theory on de Sitter space-time, 1998 Commun. Math. Phys. 196 535 [SPIRES] [gr-qc/9801099]
127. Borchers H J and Buchholz D, Global properties of vacuum states in de Sitter space, 1999 Ann. Poincaré Phys. Theor. A 70 23 [gr-qc/9803036]
128. Nariai H, On a new cosmological solution of Einstein's field equations of gravitation, 1951 Sci. Rep. Tohoku Univ. Ser. I 35 62
129. Ramsey N F, Thermodynamics and statistical mechanics at negative absolute temperature, 1956 Phys. Rev. 103 20 [SPIRES]
130. Purcell E M and Pound R V, A nuclear spin system at negative temperature, 1951 Phys. Rev. 81 279 [SPIRES]