A new theory of stochastic inflation

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 55, Issue 4, 1997, Pages 1860-1874

  Matacz, Andrew ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001126928     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.55.1860     Document Type: Article

References (111)

1. T. Padmanabhan, Structure Formation in the Early Universe (Cambridge University Press, Cambridge, England, 1993);
2. P. J. E. Peebles, Principles of Physical Cosmology (Princeton University Press, Princeton, NJ, 1993);
3. A. R. Liddle and D. H. Lyth, Phys. Rep.231, 1 (1993);
4. A. D. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic, Chur, Switzerland, 1990);
5. E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Redwood City, CA, 1990).
6. A. Guth and S. Y. Pi, Phys. Rev. Lett.49, 1110 (1982);
7. A. A. Starobinsky, Phys. Lett.117B, 175 (1982);
8. S. W. Hawking, 115B, 295 (1982);
9. J. M. Bardeen, P. J. Steinhardt, and M. S. Turner, Phys. Rev. D28, 679 (1983);
10. R. Brandenberger, R. Kahn, and W. Press, 28, 1809 (1983);
11. V. Mukhanov, H. Feldman, and R. Brandenberger, Phys. Rep.215, 203 (1992);
12. R. Brandenberger, Nucl. Phys.B245, 328 (1984);
13. A. H. Guth and S. Y. Pi, Phys. Rev. D32, 1899 (1985).
14. See, e.g., K. Lindenberg and B. J. West, The Nonequilibrium Statistical Mechanics of Open and Closed Systems (VCH, New York, 1990).
15. M. Morikawa, Prog. Theor. Phys.93, 685 (1995).
16. A. A. Starobinsky, in Field Theory, Quantum Gravity and Strings, edited by H. J. de Vega and N. Sanchez (Springer, Berlin, 1986).
17. S. J. Rey, Nucl. Phys.B284, 706 (1987);
18. J. M. Bardeen and G. J. Bublik, Class. Quantum Grav.4, 473 (1987);
19. M. Morikawa, Phys. Rev. D42, 1027 (1990);
20. H. E. Kandrup, Phys. Rev.39, 2245 (1989).
21. I. Yi and E. T. Vishniac, Phys. Rev. D47, 5295 (1993);
22. 45, 3441 (1992);
23. D. S. Salopek and J. R. Bond, 43, 1005 (1991);
24. I. Yi, E. T. Vishniac, and S. Mineshige, 43, 362 (1991);
25. S. Mollerach, S. Matarrese, A. Ortolan, and F. Lucchin, 44, 1670 (1991);
26. G. V. Chibisov and Yu. V. Shtanov, Int. J. Mod. Phys. A13, 2625 (1990);
27. D. S. Salopek, J. R. Bond, and J. M. Bardeen, Phys. Rev. D40, 1753 (1989);
28. S. Matarrese, A. Ortolan, and F. Lucchin, 40, 290 (1989);
29. A. Ortolan, F. Lucchin, and S. Matarrese, 38, 465 (1988).
30. A. Linde, D. Linde, and A. Mezhlumian, Phys. Rev. D49, 1783 (1994);
31. Phys. Lett. B307, 25 (1993);
32. 345, 203 (1995);
33. Y. Nambu and M. Sasaki, 219, 240 (1989);
34. Y. Nambu, Prog. Theor. Phys.81, 1037 (1989).
35. A. Hosoya, M. Morikawa, and K. Nakayama, Int. J. Mod. Phys. A4, 2613 (1989);
36. Y. Nambu, Phys. Lett. B276, 11 (1992);
37. M. Mijic, Phys. Rev. D49, 6434 (1994).
38. F. R. Graziani, Phys. Rev. D38, 1122 (1988);
39. 38, 1131 (1988);
40. 38, 1802 (1988);
41. 39, 3630 (1989);
42. O. E. Buryak, 53, 1763 (1996).
43. B. L. Hu and Y. Zhang, “Coarse-Graining, Scaling, and Inflation, ” University of Maryland Report No. 90-186, 1990 (unpublished);
44. B. L. Hu, in Relativity and Gravitation: Classical and Quantum, Proceedings of SILARG VII, Cocoyoc, Mexico, 1990, edited by J. C. D’Olivo (World Scientific, Singapore, 1991).
45. B. L. Hu, J. P. Paz, and Y. Zhang, in The Origin of Structure in the Universe, edited by E. Gunzig and P. Nardone (Kluwer, Dordrecht, 1993).
46. E. Calzetta and B. L. Hu, Phys. Rev. D52, 6770 (1995).
47. S. Habib, Phys. Rev. D46, 2408 (1992).
48. B. L. Hu, in Quantum Physics and the Universe, edited by M. Namiki (Pergamon, Tokyo, 1993);
49. Vistas Astron.37, 391 (1993).VASTA6
50. B. L. Hu, in Proceedings of the Second International Workshop on Thermal Fields and Their Applications, edited by H. Ezawa (North-Holland, Amsterdam, 1991).
51. M. Morikawa, in Quantum Physics and the Universe 15;
52. Vistas Astron.37, 87 (1993).VASTA6
53. R. Feynman and F. Vernon, Ann. Phys. (N.Y.)24, 118 (1963); APNYA6
54. R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965);
55. A. O. Caldeira and A. J. Leggett, Physica121A, 587 (1983);
56. H. Grabert, P. Schramm, and G. L. Ingold, Phys. Rep.168, 115 (1988).
57. B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D45, 2843 (1992);
58. 47, 1576 (1993).
59. B. L. Hu, in Quantum Mechanics in Curved Spacetime, edited by J. Audretsch and V. de Sabbata (Plenum, London, 1990).
60. S. Sinha, Ph.D. thesis, University of Maryland, 1991.
61. J. P. Paz and S. Sinha, Phys. Rev. D44, 1038 (1991);
62. 45, 2823 (1992).
63. B. L. Hu, J. P. Paz, and S. Sinha, Directions in General Relativity, Proceedings of the International Symposium, College Park, Maryland, 1993, edited by B. L. Hu, M. P. Ryan, C. V. Vishveswara, and T. Jacobson (Cambridge University Press, Cambridge, England, 1993), Vol. 1.
64. For earlier work on decoherence in quantum cosmology, see, e.g., C. Kiefer, Class. Quantum Grav.4, 1369 (1987);
65. J. J. Halliwell, Phys. Rev. D39, 2912 (1989);
66. T. Padmanabhan, 39, 2924 (1989).
67. B. L. Hu, Physica A158, 399 (1989).
68. B. L. Hu, in Proceedings of the Third International Workshop on Thermal Field Theory and Applications, edited by R. Kobes and G. Kunstatter (World Scientific, Singapore, 1994).
69. B. L. Hu and Y. Zhang, in Proceedings of the Third International Workshop on Quantum Nonintegrability, edited by J. M. Yuan, D. H. Feng, and G. M. Zaslavsky (Gordon and Breach, Langhorne, 1993);
70. Mod. Phys. Lett. A8, 3575 (1993).
71. J. J. Halliwell, Phys. Rev. D48, 2739 (1993);
72. A. Anderson and J. J. Halliwell, 48, 2753 (1993);
73. J. J. Halliwell, 48, 4785 (1993).
74. W. H. Zurek, Phys. Rev. D24, 1516 (1981);
75. 26, 1862 (1982);
76. in Frontiers of Nonequilibrium Statistical Physics, edited by G. T. Moore and M. O. Scully (Plenum, New York, 1986);
77. Phys. Today44(10), 36 (1991);
78. E. Joos and H. D. Zeh, Z. Phys. B59, 223 (1985);
79. A. O. Caldeira and A. J. Leggett, Phys. Rev. A31, 1059 (1985);
80. W. G. Unruh and W. H. Zurek, Phys. Rev. D40, 1071 (1989);
81. B. L. Hu, J. P. Paz, and Y. Zhang, 45, 2843 (1992);
82. 47, 1576 (1993);
83. W. H. Zurek, S. Habib, and J. P. Paz, Phys. Rev. Lett.70, 1187 (1993);
84. J. P. Paz, S. Habib, and W. H. Zurek, Phys. Rev. D47, 488 (1993);
85. J. P. Paz and W. H. Zurek, 48, 2728 (1993).
86. R. B. Griffiths, J. Stat. Phys.36, 219 (1984);
87. R. Omnés, 53, 893 (1988);
88. 53, 933 (1988);
89. 53, 957 (1988);
90. Ann. Phys. (N.Y.)201, 354 (1990); APNYA6
91. Rev. Mod. Phys.64, 339 (1992).
92. M. Gell-Mann and J. B. Hartle, in Complexity, Entropy and the Physics of Information, edited by by W. H. Zurek (Addison-Wesley, Reading, MA, 1990);
93. H. F. Dowker and J. J. Halliwell, Phys. Rev. D46, 1580 (1992);
94. A. Albrecht, 48, 3768 (1993);
95. J. Twamley, 48, 5730 (1993).
96. M. Gell-Mann and J. Hartle, Phys. Rev. D47, 3345 (1993);
97. T. Brun, 47, 3383 (1993).
98. E. Calzetta and B. L. Hu, in Directions in General Relativity 23, Vol. 2.
99. W. H. Zurek, Prog. Theor. Phys.89, 281 (1993).
100. J. B. Hartle, in Directions in General Relativity 23, Vol. 1.
101. R. Omnés, Rev. Mod. Phys.64, 339 (1992).
102. B. L. Hu and A. Matacz, Phys. Rev. D49, 6612 (1994).
103. L. Grishchuk and Y. V. Sidorov, Phys. Rev. D42, 3413 (1990);
104. A. Matacz, 49, 788 (1994).
105. F. Lombardo and F. D. Mazzitelli, Phys. Rev. D53, 2001 (1996).
106. B. L. Hu and A. Matacz, Phys. Rev. D51, 1577 (1995).
107. V. Hakim and V. Ambegoakar, Phys. Rev. A32, 423 (1985).
108. A. J. McKane, H. C. Luckock, and A. J. Bray, Phys. Rev. A41, 644 (1990);
109. A. J. McKane, A. J. Bray, and T. Newman, 41, 657 (1990);
110. H. C. Luckock and A J. McKane, 42, 1982 (1990).
111. This is discussed by J. R. Ray, Am. J. Phys.47, 626 (1979).