Quantum origin of the early inflationary universe

Nuclear Physics B

Volumn 491, Issue 1-2, 1997, Pages 387-426

  Barvinsky, A O ^a   Kamenshchik, A Yu ^b   Mishakov, I V ^b  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^b NUCLEAR SAFETY INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031589081     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00118-1     Document Type: Article

References (88)

1. [1] A.O. Barvinsky and A.Yu. Kamenshchik, Phys. Lett. B 332 (1994) 270.
2. [2] A.D. Linde, Phys. Lett. B 129 (1983) 177; Particle Physics and Inflationary Cosmology (Harwood Academic, 1990).
3. [2] A.D. Linde, Phys. Lett. B 129 (1983) 177; Particle Physics and Inflationary Cosmology (Harwood Academic, 1990).
4. [3] J.B. Hartle and S.W. Hawking, Phys. Rev. D 28 (1983) 2960.
5. [4] S.W. Hawking, Nucl. Phys. B 239 (1984) 257.
6. [5] A. Vilenkin, Phys. Lett. B 117 (1982) 25; Phys. Rev. D 27 (1983) 2848.
7. [5] A. Vilenkin, Phys. Lett. B 117 (1982) 25; Phys. Rev. D 27 (1983) 2848.
8. [6] A.D. Linde, JETP 60 (1984) 211; Lett. Nuovo Cim. 39 (1984) 401; Ya.B. Zeldovich and A.A. Starobinsky, Sov. Astron. Lett. 10 (1984) 135; A. Vilenkin, Phys. Rev. D 30 (1984) 549.
9. [6] A.D. Linde, JETP 60 (1984) 211; Lett. Nuovo Cim. 39 (1984) 401; Ya.B. Zeldovich and A.A. Starobinsky, Sov. Astron. Lett. 10 (1984) 135; A. Vilenkin, Phys. Rev. D 30 (1984) 549.
10. [6] A.D. Linde, JETP 60 (1984) 211; Lett. Nuovo Cim. 39 (1984) 401; Ya.B. Zeldovich and A.A. Starobinsky, Sov. Astron. Lett. 10 (1984) 135; A. Vilenkin, Phys. Rev. D 30 (1984) 549.
11. [6] A.D. Linde, JETP 60 (1984) 211; Lett. Nuovo Cim. 39 (1984) 401; Ya.B. Zeldovich and A.A. Starobinsky, Sov. Astron. Lett. 10 (1984) 135; A. Vilenkin, Phys. Rev. D 30 (1984) 549.
12. [7] S.W. Hawking and D.N. Page, Nucl. Phys. B 264 (1986) 185.
13. [8] A. Vilenkin, Phys. Rev. D 37 (1988) 888.
14. [9] A.D. Linde, D.A. Linde and A. Mezhlumian, Phys. Rev. D 49 (1993) 1783.
15. [10] L.P. Grishchuk and L.V. Rozhansky, Phys. Lett. B 208 (1988) 369; B 234 (1990) 9.
16. [10] L.P. Grishchuk and L.V. Rozhansky, Phys. Lett. B 208 (1988) 369; B 234 (1990) 9.
17. [11] A.O. Barvinsky and A.Yu. Kamenshchik, Class. Quantum Grav. 7 (1990) L181; it in Quantum Gravity, ed. M.A. Markov, V.A. Berezin and V.P Frolov (World Scientific, Singapore, 1991).
18. [11] A.O. Barvinsky and A.Yu. Kamenshchik, Class. Quantum Grav. 7 (1990) L181; it in Quantum Gravity, ed. M.A. Markov, V.A. Berezin and V.P Frolov (World Scientific, Singapore, 1991).
19. [12] A.O. Barvinsky, Phys. Rep. 230 (1993) 237.
20. [13] A.O. Barvinsky and A.Yu. Kamenshchik, Phys. Rev. D 50 (1994) 5093.
21. [14] J. Smoot et al., Aph. J. 396 (1992) L1.
22. [15] I. Strukov, A. Brukhanov, D. Skulachev and M. Sazhin, Pis'ma A Zh, 18 (1992) 387; Month. Not. Roy. Astron. Soc. 258 (1992) 37p.
23. [15] I. Strukov, A. Brukhanov, D. Skulachev and M. Sazhin, Pis'ma A Zh, 18 (1992) 387; Month. Not. Roy. Astron. Soc. 258 (1992) 37p.
24. [16] E. Mottola and A. Lapedes, Phys. Rev. D 27 (1983) 2285.
25. [17] R. Laflamme, Phys. Lett. B 198 (1987) 156.
26. [18] T. Vachaspati and A. Vilenkin, Phys. Rev. D 37 (1988) 898.
27. [19] D.S. Salopek, J.R. Bond and J.M. Bardeen, Phys. Rev. D 40 (1989) 1753.
28. [20] Don N. Page, J. Math. Phys. 32 (1991) 3427.
29. [21] A.O. Barvinsky, A.Yu. Kamenshchik and I.P. Karmazin, Phys. Rev. D 48 (1993) 3677.
30. [22] B.L. Spokoiny, Phys. Lett. 129 B (1984) 39; R. Fakir and W.G. Unruh, Phys. Rev. D 41 (1990) 1783.
31. [22] B.L. Spokoiny, Phys. Lett. 129 B (1984) 39; R. Fakir and W.G. Unruh, Phys. Rev. D 41 (1990) 1783.
32. [23] R. Arnowitt, S. Deser and C. Misner, in Gravitation: An Introduction to Current Research, ed. L. Witten (Wiley, New York, 1962) p.227.
33. [24] A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao and T. Thieman, J. Math. Phys. 36 (1995) 6456.
34. [25] N.P. Landsman, J. Geom. Phys. 15 (1995) 285
35. [26] A.O. Barvinsky and V.N. Ponomariov, Phys. Lett. B 167 (1986) 289.
36. [27] A.O. Barvinsky and V. Krykhtin, Class. Quantum Grav. 10 (1993) 1957.
37. [28] A.O. Barvinsky, Phys. Lett. B 241 (1990) 201.
38. [29] B.L. Altshuler and A.O. Barvinsky, Uspekhi Fiz. Nauk 166 (1996) 459.
39. [30] W. Fischler, B. Ratra and L. Susskind, Nucl. Phys. B 259 (1985) 730
40. [31] J.J. Halliwell and S.W. Hawking, Phys. Rev. D 31 (1985) 1777.
41. [32] S. Wada, Nucl. Phys. B 276 (1986) 729.
42. [33] A.O. Barvinsky, Phys. Rev. D 50 (1994) 5115.
43. [34] A.O. Barvinsky and A.Yu. Kamenshchik, Quantum Origin of the Early Universe and the Energy Scale of Inflation, in the Proc. of VI Seminar Quantum Gravity (Moscow, 1995), to be published; gr-qc/9510032.
44. [35] J.J. Halliwell and J.B. Hartle, Phys. Rev. D 41 (1990) 1815.
45. 136] G. Lyons, Phys. Rev. D 46 (1992) 1546
46. [37] B.S. DeWitt, Dynamical theory of groups and fields (Gordon and Breach, New York, 1965).
47. [38] A.O. Barvinsky and G.A. Vilkovisky, Phys. Rep. 119 (1985) 1.
48. [39] S.M. Christensen and M.J. Duff, Nucl. Phys. B 170 (1980) 480.
49. [40] B. Allen, Nucl. Phys. B 226 (1983) 228.
50. [41] E.S. Fradkin and A.A. Tseytlin, Nucl. Phys. B 234 (1984) 472.
51. [42] S.W. Hawking, Commun. Math. Phys. 55 (1977) 133; J.S. Dowker and R. Critchley, Phys. Rev. D 16 (1977) 3390.
52. [42] S.W. Hawking, Commun. Math. Phys. 55 (1977) 133; J.S. Dowker and R. Critchley, Phys. Rev. D 16 (1977) 3390.
53. [43] Yu.V. Gryzov, A.Yu. Kamenshchik and I.P. Karmazin, Izv. Vyssh. Uchebn. Zaved. Fiz. 35 (1992) 121.
54. [44] S. Poletti, Phys. Lett. B 249 (1990) 249.
55. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
56. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
57. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
58. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
59. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
60. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
61. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
62. [45] P.A. Griffin and D.A. Kosower, Phys. Lett. B 233 (1989) 295; I.G. Moss and S. Poletti, Nucl. Phys. B 341 (1990) 155; Phys. Lett. B 333 (1994) 326; D.V. Vassilevich, Nuovo Cim. A 104 (1991) 743; 105 (1992) 649; Phys. Rev. D 52 (1995) 999; Int. J. Mod. Phys. A 8 (1993) 1637; J. Math. Phys. 36 (1995) 3174.
63. [46] A.O. Barvinsky, A.Yu. Kamenshchik, I.P. Karmazin and I.V. Mishakov, Class. Quantum Grav. 9 (1992) L27; A.Yu. Kamenshchik and I.V. Mishakov, Int. J. Mod. Phys. A 7 (1992) 3713; Phys. Rev. D 47 (1993) 1380; 49 (1994) 816.
64. [46] A.O. Barvinsky, A.Yu. Kamenshchik, I.P. Karmazin and I.V. Mishakov, Class. Quantum Grav. 9 (1992) L27; A.Yu. Kamenshchik and I.V. Mishakov, Int. J. Mod. Phys. A 7 (1992) 3713; Phys. Rev. D 47 (1993) 1380; 49 (1994) 816.
65. [46] A.O. Barvinsky, A.Yu. Kamenshchik, I.P. Karmazin and I.V. Mishakov, Class. Quantum Grav. 9 (1992) L27; A.Yu. Kamenshchik and I.V. Mishakov, Int. J. Mod. Phys. A 7 (1992) 3713; Phys. Rev. D 47 (1993) 1380; 49 (1994) 816.
66. [46] A.O. Barvinsky, A.Yu. Kamenshchik, I.P. Karmazin and I.V. Mishakov, Class. Quantum Grav. 9 (1992) L27; A.Yu. Kamenshchik and I.V. Mishakov, Int. J. Mod. Phys. A 7 (1992) 3713; Phys. Rev. D 47 (1993) 1380; 49 (1994) 816.
67. [47] G. Esposito, A.Yu. Kamenshchik, I.V. Mishakov and G. Pollifrone, Class. Quantum Grav. 11 (1994) 2939; Phys. Rev. D 50 (1994) 6329; D 52 (1995) 2183, 3457; G. Esposito and A.Yu. Kamenshchik, Class. Quantum Grav. 12 (1995) 2715.
68. [47] G. Esposito, A.Yu. Kamenshchik, I.V. Mishakov and G. Pollifrone, Class. Quantum Grav. 11 (1994) 2939; Phys. Rev. D 50 (1994) 6329; D 52 (1995) 2183, 3457; G. Esposito and A.Yu. Kamenshchik, Class. Quantum Grav. 12 (1995) 2715.
69. [47] G. Esposito, A.Yu. Kamenshchik, I.V. Mishakov and G. Pollifrone, Class. Quantum Grav. 11 (1994) 2939; Phys. Rev. D 50 (1994) 6329; D 52 (1995) 2183, 3457; G. Esposito and A.Yu. Kamenshchik, Class. Quantum Grav. 12 (1995) 2715.
70. [47] G. Esposito, A.Yu. Kamenshchik, I.V. Mishakov and G. Pollifrone, Class. Quantum Grav. 11 (1994) 2939; Phys. Rev. D 50 (1994) 6329; D 52 (1995) 2183, 3457; G. Esposito and A.Yu. Kamenshchik, Class. Quantum Grav. 12 (1995) 2715.
71. [48] Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables , ed. by M. Abramovitz and I. Stegun, Natl. Bur. Stand. Appl. Math. Ser. No. 55 (U.S. GPO, Washington, D.C.,1965).
72. [49] R.P. Feynman, Phys. Rev. 84 (1951) 108.
73. [50] B.S. DeWitt, Phys. Rep. 196 (1975) 297.
74. [51] E.S. Fradkin and G.A. Vilkovisky, On Renormalization of Quantum Field Theory in Curved space-time, Institute for Theoretical Physics, University of Berne Report, 1976 (unpublished).
75. [52] N.A. Chernikov and E.A. Tagirov, Ann. Inst. Henry Poincare IX (1967) 109; P. Candelas and D.J. Raine, Phys. Rev. D 12 (1975) 965; J.S. Dowker and R. Critchley, Phys. Rev. D 13 (1976) 224, 3224; B. Allen and T. Jacobson, Commun. Math. Phys. 103 (1986) 669.
76. [52] N.A. Chernikov and E.A. Tagirov, Ann. Inst. Henry Poincare IX (1967) 109; P. Candelas and D.J. Raine, Phys. Rev. D 12 (1975) 965; J.S. Dowker and R. Critchley, Phys. Rev. D 13 (1976) 224, 3224; B. Allen and T. Jacobson, Commun. Math. Phys. 103 (1986) 669.
77. [52] N.A. Chernikov and E.A. Tagirov, Ann. Inst. Henry Poincare IX (1967) 109; P. Candelas and D.J. Raine, Phys. Rev. D 12 (1975) 965; J.S. Dowker and R. Critchley, Phys. Rev. D 13 (1976) 224, 3224; B. Allen and T. Jacobson, Commun. Math. Phys. 103 (1986) 669.
78. [52] N.A. Chernikov and E.A. Tagirov, Ann. Inst. Henry Poincare IX (1967) 109; P. Candelas and D.J. Raine, Phys. Rev. D 12 (1975) 965; J.S. Dowker and R. Critchley, Phys. Rev. D 13 (1976) 224, 3224; B. Allen and T. Jacobson, Commun. Math. Phys. 103 (1986) 669.
79. [53] D.S. Salopek, Status of Inflationary Scenario After Detection of Cosmic Microwave Background Anisotropy, preprint DAMTP R92/41.
80. [54] J.M. Bardeen, P.J. Steinhardt and M.S. Turner, Phys. Rev. D 28 (1983) 679.
81. [55] A.Yu. Kamenshchik, Phys. Lett. B 316 (1993) 45.
82. [56] V.A. Rubakov, Phys. Lett. 148 B (1984) 280.
83. [57] R. Bousso and S.W. Hawking, Phys. Rev. D 52 (1995) 5659.
84. [58] S. Giddings and A. Strominger, Nucl. Phys. B 306 (1988) 890; 321 (1988) 481; S. Coleman, Nucl. Phys. B 307 (1988) 867; 310 (1988) 643; S.W. Hawking, Phys. Rev. D 37 (1988) 904.
85. [58] S. Giddings and A. Strominger, Nucl. Phys. B 306 (1988) 890; 321 (1988) 481; S. Coleman, Nucl. Phys. B 307 (1988) 867; 310 (1988) 643; S.W. Hawking, Phys. Rev. D 37 (1988) 904.
86. [58] S. Giddings and A. Strominger, Nucl. Phys. B 306 (1988) 890; 321 (1988) 481; S. Coleman, Nucl. Phys. B 307 (1988) 867; 310 (1988) 643; S.W. Hawking, Phys. Rev. D 37 (1988) 904.
87. [58] S. Giddings and A. Strominger, Nucl. Phys. B 306 (1988) 890; 321 (1988) 481; S. Coleman, Nucl. Phys. B 307 (1988) 867; 310 (1988) 643; S.W. Hawking, Phys. Rev. D 37 (1988) 904.
88. [58] S. Giddings and A. Strominger, Nucl. Phys. B 306 (1988) 890; 321 (1988) 481; S. Coleman, Nucl. Phys. B 307 (1988) 867; 310 (1988) 643; S.W. Hawking, Phys. Rev. D 37 (1988) 904.