Quantum cosmology and physics of transitions with a change of the spacetime signature

Physics-Uspekhi

Volumn 39, Issue 5, 1996, Pages 429-459

  Al'tshuler, B L ^a   Barvinsky, A O ^a  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344470996     PISSN: 10637869     EISSN: None     Source Type: Journal    
DOI: 10.1070/PU1996v039n05ABEH000144     Document Type: Article

References (152)

1. Akademik A D Sakharov. Nauchnye Trudy (Academician A D Sakharov. Collected Works) (Eds B L Al'tshuler, L V Keldysh (chairman), D A Kirzhnits, V I Ritus) (Moscow: Tsentr-Kom OTF FIAN, 1995)
2. Sakharov A D Zh. Eksp. Teor. Fiz. 87 375 (1984)
3. [Sov. Phys. JETP 60 214 (1984)]
4. Usp. Fiz. Nauk 161 (5) (1991)
5. [Sov. Phys. Usp. 34 (5) (1991)]
6. Sakharov A D Gor'kiǐ, Moskva, dalee vezde (Gor'kiǐ, Moscow, then everywhere) (New York: Izd. im Chekhova, 1990);
7. Znamya (9-10) (1991)
8. Dirac P A M Lektsii po Kvantovoǐ Mekhanike (Lectures on Quantum Mechanics) (New York: Yeshiva University, 1966) [Translated into Russian (Moscow: Mir, 1968)]
9. DeWitt B S Phys. Rev. 160 1113 (1967);
10. Phys. Rev. 162 1195 (1967)
11. Wheeler J A, in Batelles Recontres (Eds C DeWitt, J A Wheeler) (New York Benjamin, 1968)
12. Barvinsky À Phys. Rep. 230 237 (1993)
13. Arnowitt R, Deser S, Misner C, in Gravitation: an Introduction to Current Research (Ed. L Witten) (New York: Wiley, 1962)
14. Fradkin E S, Vilkovisky G A Phys. Lett. B 55 224 (1975); CERN Report TH-2332 (1977);
15. Batalin I A, Vilkovisky G A Phys. Lett. B 69 309 (1977)
16. Becchi C, Rouet A, Stora R Comm. Math. Phys. 42 127 (1975); Tyutin IV, Preprint No. 39 FIAN (1975);
17. Kugo T, Ojima I Suppl. Progr. Theor. Phys. 66 1 (1979)
18. Hawking S W, in General Relativity. An Einstein Centenary Survey (Eds S W Hawking, W Israel) (Cambridge, London, New York, New Rochelle, Melbourne, Sydney: Cambridge Univ. Press, 1979) p. 747
19. Barvinsky A O, in Proc. of GR9 540 (Jena, 1980)
20. Barvinsky A O, Ponomariov V N Phys. Lett. B 167 287 (1986)
21. Teitelboim C Phys. Rev. D 25 3159 (1982);
22. Phys. Rev. D 28 297, 310 (1983)
23. Halliwell J J Phys. Rev. D 38 2468 (1988)
24. Hartle J B, Hawking S W Phys. Rev. D 28 2960 (1983)
25. Hawking S W Nucl. Phys. B 239 257 (1984)
26. DeWitt B S, in Quantum Field Theory and Quantum Statistics (Eds I A Batalin, C J Isham, G V Vilkovisky) (Bristol: Adam Hilger, 1987) p. 191
27. Vilkovisky G A Nucl. Phys. B 234 125 (1984);
28. Class. Quant. Grav. 9 895 (1992);
29. in Quantum Theory of Gravity (Ed. S M Christensen) (Bristol: Adam Hilger, 1984)
30. Epp R J, Kunstatter G, Toms D J Phys. Rev. D 47 2474 (1993)
31. Barbero J F, Perez-Mercader J Phys. Rev. D 48 3663 (1993)
32. Al'tshuler B L, Boyarsky A M, Neronov A Yu "The problem of classical limit in quantum cosmology: the effective action language", in Report at the Seminar "Quantum Gravity. In Memory of Academician Moiseǐ Markov", June 12-19, Moscow, 1995, gr-qc 9511069 (to be published in World Scientific)
33. Altshuler B L, Boyarsky A M, Neronov A Yu Gravitation and Cosmology 1 191 (1995)
34. Isham C J J. Math. Phys. 35 6360 (1994)
35. Barvinsky A O, Kamenshchik A Yu Phys. Rev. D 52 743 (1995)
36. Wheeler J A Ann. Phys. (N. Y.) 2 604 (1957);
37. in Geometrodynamics (New York: Academic, 1962)
38. Banks T Nucl. Phys. B 309 493 (1988)
39. Lavrelashvili G V, Rubakov V A, Tinyakov P G Pis'ma Zh. Eksp. Teor Fiz. 46 167 (1987)
40. [JETP Lett. 46 167 (1987)];
41. Nucl. Phys. B 299 757 (1988);
42. Mod. Phys. Lett. A 3 1231 (1988)
43. Giddings S, Strominger A Nucl. Phys. B 306 890 (1988);
44. Nucl. Phys. B 321 481 (1988);
45. Coleman S Nucl. Phys. B 307 867 (1988);
46. Nucl. Phys. B 310 643 (1988)
47. Hawking S W, Laflamme R Phys. Lett. B 209 39 (1988);
48. Hawking S W Phys. Rev. D 37 904 (1988);
49. Nucl. Phys. B 335 155 (1990)
50. Rubakov V A Nucl. Phys. B 453 395 (1995)
51. Hawking S W Nucl. Phys. B 363 117 (1991)
52. Bardakci K Nucl. Phys. B 271 561 (1986)
53. Tseytlin A A Phys. Lett. B 251 530 (1990)
54. Bleyer U et al. Nucl. Phys. B 429 177 (1994)
55. Redmount I H, Suen W-M Phys. Rev. D 49 5199 (1994)
56. Frolov V P, Novikov ID Phys. Rev. D 42 1057 (1990)
57. Frolov V P, in Sakharov Memorial Lectures in Physics (Eds L V Keldysh, V Ya Fainberg) (New York: Nova Science Publ. Inc., 1992) p. 1067
58. Linde A D Particle Physics and Inflationary Cosmology (Contemporary Concepts in Physics Vol. 5) (Chur, Switzerland: Harwood Academic, 1990)
59. Greensite J Phys. Lett. B 300 34 (1993)
60. Carlini A, Greensite J Phys. Rev. D 49 866 (1994)
61. Kriele M, Martin J Class. Quant. Grav. 12 503 (1995)
62. Embacher F Gravitation and Cosmology 1 46 (1995)
63. Hellaby C, Dray T Phys. Rev. D 49 5096 (1994)
64. Blencowe M P, Duff M J Nucl. Phys. B 310 387 (1988)
65. Sakharov A D Dokl. Akad. Nauk SSSR 177 70 (1967);
66. Teor. Mat. Fiz. 23 178 (1975)
67. Green M B, Schwarz J H, Witten E Superstring Theory (Cambridge: Cambridge Univ. Press, 1987)
68. Polyakov A M Gauge Fields and Strings (Chur, Switzerland: Harwood Academic Publishers, 1987)
69. J. Math. Phys. 36 11 (1995)
70. Special Issue on Quantum Gravity and Diffeomorphism Invariant Quantum Field Theory
71. Halliwell J J Int. J. Mod. Phys. A 5 2473 (1990)
72. Isham C J Structural Issues in Quantum Gravity (Plenary Session lecture given at the GR 14 Conference, Florence, August 1995)
73. Sakharov Memorial Lectures in Physics. Proc. of the First International Sakharov Conference on Physics, Moscow, 21-31 May, 1991 (Eds L V Keldysh, V Ya Fainberg) (New York: Nova Science Publ. Inc., 1992)
74. Kuchar K J. Math. Phys. 17 (1976) 777
75. Faddeev L D Teor. Mat. Fiz. 1 3 (1969)
76. Barvinsky A O, Krykhtin V Class. Quant. Grav. 10 1957 (1993)
77. Kuchar K, in Proc. of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics (Eds G Kunstatter, D Vincent, J Williams) (Singapore: World Scientific, 1992)
78. Geroch R P J. Math. Phys. 8 782 (1967)
79. DeWitt B, in Proc. of the Third Seminar on Quantum Gravity (Eds M A Markov, V A Berezin, V P Frolov) (Singapore: World Scientific, 1985)
80. Vilenkin A Phys. Lett. B 117 25 (1982);
81. Phys. Rev. D 27 2848 (1983)
82. Lapchinsky V G, Rubakov V A. Acta Phys. Polon. B 10 1041 (1979)
83. Banks T Nucl. Phys. B 249 332 (1985)
84. Kiefer C, Preprint Freiburg THEP-95/1, gr-qc/9501001
85. Batalin I A, Fradkin E S Riv. Nuovo Cimenta 9 1 (1986);
86. Ann. Inst. Henri Poincare 49 145 (1988)
87. Barvinsky A O Phys. Lett. B 241 201 (1990)
88. Barvinsky A O Class. Quant. Grav. 10 1985 (1993)
89. DeWitt-Morette C Ann. Phys. 97 367 (1976)
90. Gribov V N Nucl. Phys. B 139 1 (1978)
91. Barvinsky A O, Kamenshchik A Yu Phys. Rev. D 50 5093 (1994)
92. Halliwell J J, Hartle J B Phys. Rev. D 41 1815 (1990)
93. Gibbons G W, Hartle J B Phys. Rev. D 42 2458 (1990)
94. York J W (Jr) Phys. Rev. Lett. 26 1656 (1971);
95. Phys. Rev. Lett. 28 1082 (1972)
96. O'Murchadha N, York J W (Jr) J. Math. Phys. 14 1551 (1973)
97. Ashtekar A Non-Perturbative Quantum Gravity (Singapore: World Scientific, 1991)
98. Linde A D Phys. Lett. B 129 177 (1983)
99. Sakharov A D Zh. Eksp. Teor. Fiz. 49 345 (1965)
100. [Sov Phys. JETP 22 241 (1966)]
101. Hawking S W, Page D N Nucl. Phys. B 264 185 (1986)
102. Vilenkin A Phys. Rev. D 37 888 (1988)
103. Barvinsky A O, Kamenshchik A Yu Class. Quant. Grav. 7 L181 (1990)
104. Barvinsky A O, Kamenshchik A Yu Phys. Lett. B 332 270 (1994)
105. Mottola E, Lapedes A Phys. Rev. D 27 2285 (1983)
106. Laflamme R Phys. Lett. B 198 156 (1987)
107. Barvinsky A O, Kamenshchik A Yu, Mishakov I V "Quantum Creation of the Early Universe", to be published in Nucl. Phys. B
108. Linde A D Zh. Eksp. Teor. Fiz. 87 369 (1984)
109. [Sov. Phys. JETP 60 211 (1984)];
110. Lett. Nuovo Cimento 39 401 (1984);
111. Zel'dovich Ya B, Starobinskiǐ A A Sov. Astron. Lett. 10 135 (1984);
112. Vilenkin A Phys. Rev. D 30 509 (1984)
113. Vachaspati T, Vilenkin A Phys. Rev. D 37 898 (1988)
114. Salopek D S, Bond J R, Bardeen J M Phys. Rev. D 40 1753 (1989)
115. Page Don N J. Math. Phys. 32 3427 (1991)
116. Barvinsky A O, Kamenshchik A Yu, Karmazin IP Phys. Rev. D 48 3677 (1993)
117. Spokoiny B L Phys. Lett. B 147 39 (1984);
118. Fakir R, Unruh W G Phys. Rev. D 41 1783 (1990)
119. Halliwell J J, Hawking S W Phys. Rev. D 31 1777 (1985)
120. Wada S Nucl. Phys. B 276 729 (1986)
121. Barvinsky A O, Kamenshchik A Yu "Quantum Origin of the Early Universe and the Energy Scale of Inflation", in Proc. VI Sem. "Quantum Gravity" Moscow, 1995, gr-qc/9510032
122. Barvinsky A O Phys. Rev. D 50 5115 (1994)
123. DeWitt B S Dynamical Theory of Groups and Fields (New York: Gordon and Breach, 1965);
124. Barvinsky A O, Vilkovisky G A Phys. Rep. 119 1 (1985)
125. Kamenshchik A Yu Phys. Lett. B 316 45 (1993)
126. Smoot J et al. Astrophys. J. 396 L1 (1992)
127. Strukov I et al. Pis'ma Astron. Zh. 18 387 (1992);
128. Month. Not. Roy. Astron. Soc. 258 37p (1992)
129. Salopek D S, Preprint DAMTP R92/41 (1992)
130. Bardeen J M, Steinhardt P J, Turner M S Phys. Rev. D 28 679 (1983)
131. Allen B Nucl. Phys. B 226 228 (1983);
132. Fradkin E S, Tseytlin A A Nucl. Phys. B 234 472 (1984)
133. Rubakov V A Phys. Lett. B 148 280 (1984)
134. Bousso R and Hawking S W, Preprint DAMTP/R-95/33, gr-qc/ 9506047
135. Mach's Principle: from Newton's Bucket to Quantum Gravity (Eds J Barbour, H Pfister) Einstein Studies Vol. 6 (Boston, Basel, Berlin: Birkhauser, 1995)
136. Ginzburg V L, Frolov V P Trudy FIAN im P N Lebedeva 197 8 (1989)
137. Susskind L, Thorlacius L, Uglum J Phys. Rev. D 48 3743 (1993)
138. Susskind L. Thorlacius L Phys. Rev. D 49 966 (1994)
139. Landau L D, Livshits E M Mekhanika (Mechanics) (Moscow: Fizmatgiz, 1958)
140. Gitman D M, Tyutin I V Kanonicheskoe Kvantovanie poleǐ so svyazyami (Canonical Quantization of Fields with Constraints) (Berlin, New York: Springr-Verlag, 1990) [Translated into Russian (Moscow: Nauka, 1986)]
141. Baierlein R F, Sharp D H, Wheeler J A Phys. Rev. 126 1864 (1962)
142. Barbour J B Class. Quant. Grav. 11 2853, 2875 (1994)
143. Greensite J Phys. Rev. D 49 930 (1994)
144. Al'tshuler B L See Ref. [3], p. 3
145. Hawking S W Phys. Rev. D 32 2489 (1985)
146. Page Don N, in Ref. [53], p. 1031
147. Gell-Mann M, Hartle J B, in Ref. [53], p. 1151
148. Kiefer C, Zeh H D Phys. Rev. D 51 4145 (1995)
149. Lynden-Bell D, Katz J, Bicak J Month. Not. Roy. Astr. Soc. 272 150 (1995)
150. Cleaver G B, Rosenthal P J Nucl. Phys. B 457 621 (1995)
151. Brandenberger R, Vafa C Nucl. Phys. B 316 391 (1989)
152. Tseytlin A A, Vafa C Nucl. Phys. B 372 443 (1992)