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Quantum field theory methods and inflationary universe models
Rev. Mod. Phys. 57, 1 – Published 1 January, 1985
DOI: https://doi.org/10.1103/RevModPhys.57.1
Abstract
This paper reviews the theory of inflationary universe models, giving particular emphasis to the question of origin and growth of energy-density fluctuations in these new cosmologies. The first four sections constitute a pedagogical introduction to some of the important quantum field theory methods used in inflationary universe scenarios: calculation of the effective potential, finite-temperature quantum field theory, analysis of the decay of a metastable quantum state, and free field theory in curved space-time.
References (301)
- Abbott, L. F., 1981a, Nucl. Phys. B 185, 189
- Abbott, L. F., 1981b, Nucl. Phys. B 185, 233
- Abbott, L. F., 1982, Acta Phys. Pol. B 13, 33
- Abbott, L. F., and C. Burges, 1983, Phys. Lett. 131B, 49
- Abbott, L. F., E. Farhi, and M. B. Wise, 1982, Phys. Lett. 117B, 29
- Abbott, L. F., and M. B. Wise, 1984, Nucl. Phys. B 237, 226
- Abers, E., and B. Lee, 1973, Phys. Rep. 9, 1
- Abrikosov, A. A., L. P. Gorkov, and I. E. Dzyaloshinski, 1959, Zh. Eksp. Teor. Fiz. 36, 900 [Sov. Phys.—JETP 9, 636 (1959)]
- Abrikosov, A. A., L. P. Gorkov, and I. E. Dzyaloshinski, 1965, Methods of Quantum Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs)
- Akhiezer, I., and S. Peletminskii, 1960, Zh. Eksp. Teor. Fiz. 38, 1829 [Sov. Phys.—JETP 11, 1316 (1960)]
- Albrecht, A., 1984, in Fifth Workshop on Grand Unification, edited by K. Kang, H. Fried, and P. Frampton (World Scientific, Singapore, in press)
- Albrecht, A., S. Dimopoulos, W. Fischler, E. W. Kolb, S. Raby, and P. J. Steinhardt, 1982, in Proceedings of the 3rd Marcel Grossman Meeting on the Recent Developments in General Relativity, edited by Hu Ning (North-Holland, Amsterdam), p. 511
- Albrecht, A., S. Dimopoulos, W. Fischler, E. W. Kolb, S. Raby, and P. J. Steinhardt, 1983, Nucl. Phys. B 229, 528
- Albrecht, A., L. Jensen, and P. J. Steinhardt, 1984, Nucl. Phys. B 239, 290
- Albrecht, A., and P. J. Steinhardt, 1982, Phys. Rev. Lett. 48, 1220
- Albrecht, A., and P. J. Steinhardt, 1983, Phys. Lett. 131B, 45
- Albrecht, A., P. J. Steinhardt, M. S. Turner, and F. Wilczek, 1982, Phys. Rev. Lett. 48, 1437
- Allen, B., 1983, Nucl. Phys. B 226, 228
- Allen, B., 1984, Ann. Phys. (N.Y.) (in press)
- Arnold, V. I., 1978, Mathematical Methods of Classical Mechanics, English ed. (Springer, New York)
- Arnowitt, R., S. Deser, and C. W. Misner, 1962, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York), p. 227
- Balian, R., G. Parisi, and A. Voros, 1978, Phys. Rev. Lett. 41, 1141
- Bardeen, James, 1980, Phys. Rev. D 22, 1882
- Bardeen, James, 1983, "New Inflation Revisted—A Semiclassical Approach" (unpublished)
- Bardeen, James, P. J. Steinhardt, and M. S. Turner, 1983, Phys. Rev. D 28, 679
- Bardeen, W., and C. Hill, 1984, private communication
- Barrow, J. D., and M. S. Turner, 1982, Nature 298, 801
- Bernard, C., 1974, Phys. Rev. D 9, 3313
- Bieberbach, L., 1953, Theorie der Gewoehnlichen Differential-gleichungen (Springer, Berlin)
- Billoire, A., and K. Tamvakis, 1982, Nucl. Phys. B 200, 329
- Bludman, S., and M. Ruderman, 1977, Phys. Rev. Lett. 38, 255
- Bond, J. R., and A. S. Szalay, 1983, Astrophys. J. 274, 443
- Boulware, D. G., 1981, Phys. Rev. D 23, 389
- Boulware, D. G., 1979, in Recent Developments in Gravitation, Cargèse 1978, edited by Maurice Lévy and S. Deser (Plenum, New York), p. 175
- Brandenberger, R., 1983, Phys. Lett. 129B, 397
- Brandenberger, R., 1984, Nucl. Phys. B 245, 328
- Brandenberger, R., and R. Kahn, 1982, Phys. Lett. 119B, 75
- Brandenberger, R., and R. Kahn, 1984, Phys. Rev. D 29, 2172
- Brandenberger, R., R. Kahn, and W. H. Press, 1983, Phys. Rev. D 28, 1809
- Breit, J. D., S. Gupta, and A. Zaks, 1983, Phys. Rev. Lett. 51, 1007
- Brown, L. S., 1977, Phys. Rev. D 15, 1469
- Brown, L. S., and J. Cassidy, 1977a, Phys. Rev. D 15, 2810
- Brown, L. S., and J. Cassidy, 1977b, Phys. Rev. D 16, 1712
- Bunch, T. S., and P. C. W. Davies, 1977a, Proc. R. Soc. London Ser. A 356, 569
- Bunch, T. S., and P. C. W. Davies, 1977b, Proc. R. Soc. London Ser. A 357, 381
- Bunch, T. S., and P. C. W. Davies, 1978, Proc. R. Soc. London Ser. A 360, 117
- Buras, A., J. Ellis, M. K. Gaillard, and D. V. Nanopoulos, 1978, Nucl. Phys. B 135, 66
- Callan, C. G., and S. Coleman, 1977, Phys. Rev. D 16, 1762
- Chibisov, G., and V. Mukhanov, 1981, Zh. Eksp. Teor. Fiz. Pis'ma Red. 33, 549 [JETP Lett. 33, 532 (1981)]
- Christensen, S. M., 1976, Phys. Rev. D 14, 2490
- Christensen, S. M., and S. A. Fulling, 1977, Phys. Rev. D 15, 2088
- Coleman, S., 1973, in Laws of Hadronic Matter (Erice, 1973), edited by A. Zichichi (Academic, New York, 1975), p. 139
- Coleman, S., 1975, in New Phenomena in Subnuclear Physics, Part A (Erice, 1975), edited by A. Zichichi (Plenum, New York, 1977), p. 297
- Coleman, S., 1977, Phys. Rev. D 15, 2929
- Coleman, S., 1977, in The Whys of Subnuclear Physics (Erice, 1977), edited by A. Zichichi (Plenum, New York, 1979), p. 805
- Coleman, S., 1981, in The Unity of the Fundamental Interactions (Erice, 1981), edited by A. Zichichi (Plenum, New York), p. 21
- Coleman, S., and F. DeLuccia, 1980, Phys. Rev. D 21, 3305
- Coleman, S., V. Glaser, and A. Martin, 1978, commun. Math. Phys. 58, 211
- Coleman, S., R. Jackiw, and H. D. Politzer, 1974, Phys. Rev. D 10, 2491
- Coleman, S., and E. J. Weinberg, 1973, Phys. Rev. D 7, 1888
- Cook, G. P., and K. T. Mahanthappa, 1981, Phys. Rev. D 23, 1321
- Cornwall, J. M., R. Jackiw, and E. Tomboulis, 1974, Phys. Rev. D 10, 2428
- Courant, R., 1937, Differential and Integral Calculus (Interscience, New York), Vol. 1
- Davies, P. C. W., 1975, J. Phys. A 8, 365
- Davies, P. C. W., 1976, Proc. R. Soc. London Ser. A 351, 129
- Davies, P. C. W., 1980, in General Relativity and Gravitation One Hundred Years after the Birth of Albert Einstein, edited by A. Held (Plenum, New York), Vol. 1, p. 255
- Davies, P. C. W., S. A. Fulling, and W. G. Unruh, 1976, Phys. Rev. D 13, 2720
- Davies, P. C. W., S. A. Fulling, S. M. Christensen, and T. S. Bunch, 1977, Ann. Phys. (N.Y.) 109, 108
- Denardo, G., and E. Spallucci, 1982, Nuovo Cimento Lett. 33, 336
- DeWitt, B. S., 1965, Dynamical Theory of Groups and Fields (Gordon and Breach, New York)
- DeWitt, B. S., 1975, Phys. Rep. 19, 295
- DeWitt, B. S., 1979, in General Relativity, An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University, Cambridge), p. 680
- DeWitt, B. S., 1981, in Quantum Gravity 2, A Second Oxford Symposium, edited by C. J. Isham, R. Penrose, and D. W. Sciama (Cambridge University, Cambridge), p. 449
- Dimopoulos, S., and H. Georgi, 1981, Nucl. Phys. B 193, 150
- Dimopoulos, S., and S. Raby, 1983, Nucl. Phys. B 219, 479
- Dimopoulos, S., and L. Susskind, 1978, Phys. Rev. D 18, 4500
- Dolan, L., and R. Jackiw, 1974, Phys. Rev. D 9, 3320
- Dolgov, A. D., and A. D. Linde, 1982, Phys. Lett. 116B, 329
- Dolgov, A. D., and Ya. B. Zeldovich, 1981, Rev. Mod. Phys. 53, 1
- Dowker, J., and R. Critchley, 1976, Phys. Rev. D 13, 3224
- Einhorn, M. B., and K. Sato, 1981, Nucl. Phys. B 180, 385
- Einhorn, M. B., D. L. Stein, and D. Toussaint, 1980, Phys. Rev. D 21, 3295
- Ellis, J., 1982, in The Very Early Universe, Proceedings of the Nuffield Workshop, Cambridge...1982, edited by G. W. Gibbons, S. W. Hawking, and S. T. C. Siklos (Cambridge University, Cambridge, 1983), p. 91
- Ellis, J., A. D. Linde, and D. V. Nanopoulos, 1982, Phys. Lett. 118B, 59
- Ellis, J., D. V. Nanopoulos, K. A. Olive, and K. Tamvakis, 1982, Phys. Lett. 118B, 335
- Ellis, J., D. V. Nanopoulos, K. A. Olive, and K. Tamvakis, 1983a, Nucl. Phys. B 221, 524
- Ellis, J., D. V. Nanopoulos, K. A. Olive, and K. Tamvakis, 1983b, Phys. Lett. 120B, 331
- Ellis, J., and K. A. Olive, 1983, Nature 303, 679
- Englert, F., and R. Brout, 1964, Phys. Rev. Lett. 13, 321
- Fabbri, R., and M. D. Pollock, 1983, Phys. Lett. 125B, 445
- Faddeev, L. D., and V. N. Popov, 1967, Phys. Lett. 25B, 29
- Fetter, A. L., and J. D. Walecka, 1971, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York)
- Fischetti, M., B. L. Hu, and J. B. Hartle, 1979, Phys. Rev. D 20, 1757
- Ford, L. H., and D. J. Toms, 1982, Phys. Rev. D 25, 1510
- Fradkin, E. S., 1959, Zh. Eksp. Teor. Fiz. 36, 1286 [Sov. Phys.—JETP 9, 912 (1959)]
- Frampton, P. H., 1976, Phys. Rev. Lett. 37, 1380
- Frieman, J. A., and M. S. Turner, 1984, Phys. Rev. D 30, 265
- Frieman, J. A., and C. M. Will, 1982, Astrophys. J 259, 437
- Fulling, S. A., 1973, Phys. Rev. D 7, 2850
- Fulling, S. A., and P. C. W. Davies, 1976, Proc. R. Soc. London Ser. A 348, 393
- Fulling, S. A., and L. Parker, 1974, Ann. Phys. (N.Y.) 87, 176
- Fulling, S. A., L. Parker, and B. L. Hu, 1974, Phys. Rev. D 10, 3905
- Gelmini, G. B., D. V. Nanopoulos, and K. A. Olive, 1983, Phys. Lett. 131B, 53
- Georgi, H., and S. L. Glashow, 1974, Phys. Rev. Lett. 32, 438
- Gibbons, G. W., 1979, in General Relativity, An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University, Cambridge), p. 639
- Gibbons, G. W., and S. W. Hawking, 1977, Phys. Rev. D 15, 2738
- Gibbons, G. W., and M. Perry, 1978, Phys. Rev. Lett. 36, 985
- Gibbons, G. W., and M. Perry, 1978, Proc. R. Soc. London Ser. A 358, 467
- Ginsparg, P., 1982, Phys. Lett. 112B, 45
- Glashow, S. L., 1961, Nucl. Phys. 22, 579
- Glimm, J., and A. Jaffe, 1981, Quantum Physics (Springer, New York)
- Goldstone, J., A. Salam, and S. Weinberg, 1962, Phys. Rev. 127, 965
- Goncharov, A. S., and A. D. Linde, 1984, Phys. Lett. 139B, 27
- Grishchuk, P., 1974, Zh. Eksp. Teor. Fiz. 67, 825 [Sov. Phys.—JETP 40, 409 (1974)]
- Gupta, S., and H. R. Quinn, 1984, Phys. Rev. D 29, 2791
- Guralnik, G. S., C. R. Hagen, and T. W. B. Kibble, 1964, Phys. Rev. Lett. 13, 585
- Guth, A. H., 1981, Phys. Rev. D 23, 347
- Guth, A. H., 1982, in The Very Early Universe: Proceedings of the Nuffield Workshop, Cambridge...1982, edited by G. W. Gibbons, S. W. Hawking, and S. T. C. Siklos (Cambridge University, Cambridge), p. 171
- Guth A. H., 1983, private communication
- Guth, A. H., 1984, "The New Inflationary Universe, 1984," paper delivered at the Inner Space/Outer Space Conference, Fermilab, May 2-5, 1984, to be published
- Guth, A. H., and S.-Y. Pi, 1982, Phys. Rev. Lett. 49, 1110
- Guth, A. H., and S.-Y. Pi, 1984, "The Behavior of the Higgs Field in the New Inflationary Universe," paper delivered at the Inner Space/Outer Space Conference, Fermilab, May 2-5, 1984, to be published
- Guth, A. H., and P. J. Steinhardt, 1984, Scientific American 250, No. 5, 116
- Guth, A. H., and S.-H. Tye, 1980, Phys. Rev. Lett. 44, 631
- Guth, A. H., and E. J. Weinberg, 1980, Phys. Rev. Lett. 45, 1131
- Guth, A. H., and E. J. Weinberg, 1981, Phys. Rev. D 23, 876
- Guth, A. H., and E. J. Weinberg, 1983, Nucl. Phys. B 212, 321
- Harrison, E., 1970, Phys. Rev. D 1, 2726
- Hartle, J. B., and B. L. Hu, 1979, Phys. Rev. D 20, 1772
- Hartle, J. B., and B. L. Hu, 1980, Phys. Rev. D 21, 2756
- Hartle, J. B., and S. W. Hawking, 1976, Phys. Rev. D 13, 2188
- Hawking, S. W., 1966, Astrophys. J. 145, 544
- Hawking, S. W., 1974, Nature 248, 30
- Hawking, S. W., 1975, commun. Math. Phys. 43, 199
- Hawking, S. W., 1977, commun. Math. Phys. 55, 133
- Hawking, S. W., 1982, Phys. Lett. 115B, 295
- Hawking, S. W., 1984, Phys. Lett. 134B, 403
- Hawking, S. W., and I. G. Moss, 1982, Phys. Lett. 110B, 35
- Hawking, S. W., and I. G. Moss, 1983, Nucl. Phys. B 224, 180
- Hawking, S. W., I. G. Moss, and J. M. Stewart, 1982, Phys. Rev. D 26, 2681
- Hawking, S. W., and G. F. R. Ellis, 1973, The Large Scale Structure of Space-Time (Cambridge University, Cambridge)
- Heisenberg, W., and H. Euler, 1936, Z. Phys. 98, 714
- Higgs, P. W., 1964a, Phys. Lett. 12, 132
- Higgs, P. W., 1964b, Phys. Rev. Lett. 13, 508
- Hill, C., 1983, unpublished
- Hinshaw, G., 1984, private communication
- Holman, R., P. Ramond, and C. G. Ross, 1984, Phys. Lett. 137B, 343
- Hosoya, A., and M. Sakagami, 1984, Phys. Rev. D 29, 2228
- Hut, P., and F. R. Klinkhamer, 1981, Phys. Lett. 104B, 439
- Ignatiev, A. Yu., N. V. Krasnikov, V. A. Kuzmin, and A. N. Tavkhelidze, 1978, Phys. Lett. 76B, 436
- Iliopoulos, J., C. Itzykson, and A. Martin, 1975, Rev. Mod. Phys. 47, 165
- Itzykson, C., and J. Zuber, 1980, Quantum Field Theory (McGraw-Hill, New York)
- Izawa, M., and K. Sato, 1982, Prog. Theor. Phys. 68, 1574
- Jackiw, R., 1974, Phys. Rev. D 9, 1686
- Jackiw, R., 1975, in Theories and Experiments in High-Energy Physics (Orbis Scientiae II), edited by B. Kursunoglu, A. Perlmutter, and S. M. Widmayer (Plenum, New York), p. 371
- Jackiw, R., and A. Kerman, 1979, Phys. Lett. 71A, 158
- Jona-Lasinio, G., 1964, Nuovo Cimento 34, 1790
- Kadanoff, L. P., and G. Baym, 1962, Quantum Statistical Mechanics (Benjamin, New York)
- Kahn, R., 1981, "The Decay of Correlations in De Sitter Space," unpublished
- Kahn, R., and R. Brandenberger, 1984, Phys. Lett. 141B, 317
- Kahn, R., and W. H. Press, 1984, private communication
- Kazanas, D., 1980, Astrophys. J. 241, L59
- Khlopov, M. Yu., and A. D. Linde, 1984, Phys. Lett. 138B, 265
- Kibble, T. W. B., 1976, J. Phys. A 9, 1387
- Kibble, T. W. B., G. Lazarides, and Q. Shafi, 1982, Phys. Lett. 113B, 237
- Kirzhnits, D. A., 1972, Zh. Eksp. Teor. Fiz. Pis'ma Red. 15, 745 [JETP Lett. 15, 529 (1972)]
- Kirzhnits, D. A., and A. D. Linde, 1972, Phys. Lett. 42B, 471
- Kirzhnits, D. A., and A. D. Linde, 1974, Zh. Eksp. Teor. Fiz. 67, 1263 [Sov. Phys.—JETP 40, 628 (1974)]
- Kirzhnits, D. A. and A. D. Linde, 1975, Ann. Phys. (N.Y.) 101, 195
- Kodama, H., and M. Sasaki, 1982, Prog. Theor. Phys. 68, 1398
- Kounnas, C., J. Leon, and M. Quiros, 1983, Phys. Lett. 129B, 67
- Kubo, R., 1957, J. Phys. Soc. Jpn. 12, 570
- Langacker, P., 1981, Phys. Rep. 72, 185
- Langer, J. S., 1967, Ann. Phys. (N.Y.) 41, 108
- Langer, J. S., 1969, Ann. Phys. (N.Y.) 54, 258
- Langer, J. S., 1974, Physica 73, 61
- Lapedes, A., 1978, J. Math. Phys. 19, 2289
- Lapedes, A., and E. Mottola, 1982, Nucl. Phys. B 203, 58
- Lifshitz, E. M., 1946, J. Phys. (Moscow) 10, 116
- Lifshitz, E. M., and I. M. Khalatnikov, 1963, Adv. Phys. 12, 185
- Linde, A. D., 1974, Zh. Eksp. Teor. Fiz. Pis'ma Red. 19, 320 [JETP Lett. 19, 183 (1974)]
- Linde, A. D., 1976, Zh. Eksp. Teor. Fiz. Pis'ma Red. 23, 73 [JETP Lett. 23, 64 (1974)]
- Linde, A. D., 1977, Phys. Lett. 70B, 306
- Linde, A. D., 1979, Rep. Prog. Phys. 42, 389
- Linde, A. D., 1981a, Phys. Lett. 99B, 391
- Linde, A. D., 1981b, Phys. Lett. 100B, 37
- Linde, A. D., 1982a, Phys. Lett. 108B, 389
- Linde, A. D., 1982b, Phys. Lett. 114B, 431
- Linde, A. D., 1982c, Phys. Lett. 116B, 335
- Linde, A. D., 1982d, Phys. Lett. 116B, 340
- Linde, A. D., 1982e, in The Very Early Universe, Proceedings of the Nuffield Workshop, Cambridge...1982, edited by G. W. Gibbons, S. W. Hawking, and S. T. C. Siklos (Cambridge University, Cambridge), p. 205
- Linde, A. D., 1983a, Phys. Lett. 129B, 177
- Linde, A. D., 1983b, Nucl. Phys. B 216, 421
- Linde, A. D., 1983c, Phys. Lett. 132B, 137
- Linde, A. D., 1983d, Zh. Eksp. Teor. Fiz. Pis'ma Red. 37, 606 [JETP Lett. 37, 724 (1983)]
- Linde, A. D., 1983e, Zh. Eksp. Teor. Fiz. Pis'ma Red. 38, 149 [JETP Lett. 38, 176 (1983)]
- Linde, A. D., 1983f, Phys. Lett. 131B, 330
- Linde, A. D., 1984, Rep. Prog. Phys. 47, 925
- Linde, A. D., and A. Goncharov, 1984, Zh. Eksp. Teor. Fiz. 86, 1594
- Lukash, V. N., 1980, Zh. Eksp. Teor. Fiz. 79, 1601 [Sov. Phys.—JETP 52, 807 (1980)]
- Lyth, D. H., 1984, "Large Scale Energy Density Fluctuations and Inflation," Lancaster preprint
- Martin, P. C., and J. Schwinger, 1959, Phys. Rev. 115, 1342
- Matsubara, T., 1955, Prog. Theor. Phys. 14, 351
- Mazenko, G. F., W. G. Unruh, and R. M. Wald, 1984, "Does a Phase Transition in the Early Universe Produce the Conditions Needed for Inflation," Enrico Fermi preprint
- Morse, P., and H. Feshbach, 1953, Methods of Theoretical Physics (McGraw-Hill, New York), Vol. 1
- Moss, I. G., 1984, Nucl. Phys. B 238, 436
- Mottola, E., 1983, Phys. Rev. D 27, 2294
- Mottola, E., and A. Lapedes, 1983, Phys. Rev. D 27, 2285
- Nanopoulos, D. V., 1983, "Unified Field Theories and the Early Universe," CERN preprint TH 3778
- Nanopoulos, D. V., K. A. Olive, and K. Tamvakis, 1982, Phys. Lett. 115B, 15
- Nanopoulos, D. V., and K. Tamvakis, 1982, Phys. Lett. 110B, 449
- Nanopoulos, D. V., K. A. Olive, and M. Srednicki, 1983, Phys. Lett. 127B, 30
- Nanopoulos, D. V., K. A. Olive, M. Srednicki, and K. Tamvakis, 1983a, Phys. Lett. 123B, 41
- Nanopoulos, D. V., K. A. Olive, M. Srednicki, and K. Tamvakis, 1983b, Phys. Lett. 124B, 171
- Olive, K. A., and N. Turok, 1982, Phys. Lett. 117B, 193
- Olive, K. A., 1983, in Galaxies and the Early Universe: Proceedings of the 18th Rencontre de Moriond, Astrophysics Meeting, edited by J. Audouze and J. Tran Thanh Van (Reidel, Dordrecht), p. 3 Olive, K. A.lectures at the 1983 Aspen Summer School of Physics
- Olive, K. A., and M. Srednicki, 1984, "Finite Temperature Corrections in Supergravity," University of California at Santa Barbara preprint
- Olson, D. W., 1976, Phys. Rev. D 14, 327
- Ovrut, B. A., and P. J. Steinhardt, 1983, Phys. Lett. 133B, 161
- Pagels, H. R., 1983, Astrophys. Lett. 23, 151
- Parke, S., 1983, Phys. Lett. 121B, 313
- Parker, L., 1966, Ph.D. thesis, Harvard University
- Parker, L., 1968, Phys. Rev. Lett. 21, 562
- Parker, L., 1969, Phys. Rev. 183, 1057
- Parker, L., 1971, Phys. Rev. D 3, 346
- Parker, L., 1977, in Asymptotic Structure of Space-Time, edited by F. Paul Esposito and Louis Witten (Plenum, New York), p. 107
- Parker, L., 1979, in Recent Developments in Gravitation, Cargèse 1978, edited by Maurice Lévy and S. Deser (Plenum, New York), p. 219
- Parker, L., and S. A. Fulling, 1974, Phys. Rev. D 9, 341
- Patrasciou, A., 1981, Phys. Rev. D 24, 496
- Peccei, R. D., and H. R. Quinn, 1977, Phys. Rev. D 16, 1791
- Peebles, P. J. E., 1980, The Large-Scale Structure of the Universe (Princeton University, Princeton, N.J.)
- Pi, S.-Y., 1982, Phys. Lett. 112B, 441
- Pi, S.-Y., 1984, Phys. Rev. Lett. 152, 1725
- Preskill, J. P., 1979, Phys. Rev. Lett. 43, 1365
- Press, W. H., 1980, Phys. Scr. 21, 702
- Press, W. H., 1981, in Cosmology and Particles: Proceedings of the 16th Recontre de Moriond, Astrophysics Meeting, edited by J. Audouze, P. Crane, T. Gaisser, D. Hegyi, and J. Tran Thanh Van (Éditions Frontières, Paris), p. 137
- Press, W. H., 1983, Harvard-Smithsonian Center for Astrophysics preprint 1811, to appear in "Jim Wilson 60th Birthday Volume," edited by J. Centrella
- Press, W. H., and E. T. Vishniac, 1980, Astrophys. J. 239, 1
- Primack, J. R., and G. R. Blumenthal, 1983a, in Fourth Workshop on Grand Unification, University of Pennsylvania...1983, edited by H. A. Weldon, P. Langacker, and P. J. Steinhardt (Birkhäuser, Boston), p. 256
- Primack, J. R., and G. R. Blumenthal, 1983b, in Galaxies and the Early Universe: Proceedings of the 18th Rencontre de Moriond, Astrophysics Meeting, edited by J. Audouze and J. Tran Thanh Van (Reidel, Dordrecht, 1983)
- Rubakov, V. A., M. V. Sazhin, and A. V. Veryaskin, 1982, Phys. Lett. 115B, 189
- Sachs, R. K., and A. M. Wolfe, 1967, Astrophys. J. 147, 73
- Sakharov, A. D., 1967, Zh. Eksp. Teor. Fiz. Pis'ma Red. 5, 32 [JETP Lett. 5, 24 (1967)]
- Salam, A., 1968, in Elementary Particle Theory, Proceedings of the Eighth Nobel Symposium, edited by N. Svartholm (Wiley, New York), p. 367
- Sasaki, M., 1983, Prog. Theor. Phys. 70, 394
- Sasaki, M., H. Kodama, and K. Sato, 1982, Prog. Theor. Phys. 68, 1561
- Sato, K., 1981a, Phys. Lett. 99B, 66
- Sato, K., 1981b, Mon. Not. R. Astron. Soc. 195, 467
- Schnitzer, H. J., 1974, Phys. Rev. D 10, 1800
- Schwinger, J., 1951a, Proc. Natl. Acad. Sci. USA 37, 452
- Schwinger, J., 1951b, Phys. Rev. 82, 664
- Sciama, D., P. Candelas, and D. Deutsch, 1981, Adv. Phys. 30, 327
- Sexl, R., and H. Urbantke, 1967, Acta Phys. Austriaca 26, 339
- Sexl, R., and H. Urbantke, 1969, Phys. Rev. 179, 1247
- Shafi, Q., and A. Vilenkin, 1984, Phys. Rev. Lett. 52, 691
- Shepard, H. K., 1983, Phys. Rev. D 27, 1288
- Sher, M., 1981, Phys. Rev. D 24, 1699
- Sher, M., 1983, Phys. Lett. 124B, 329
- Shore, G. M., 1980, Ann. Phys. (N.Y.) 128, 376
- Silk, J., 1983, "Elementary Particles and the Large-Scale Structure of the Universe," University of California at Berkeley preprint
- Silk, J., 1985, "The Cosmic Microwave Radiation: Implications for Galaxy Formation," paper delivered at the Inner Space/Outer Space Conference, Fermilab, May 2-5, 1984, to be published
- Srednicki, M., 1982a, Nucl. Phys. B 202, 327
- Srednicki, M., 1982b, Nucl. Phys. B 206, 132
- Starobinsky, A. A., 1979, Zh. Eksp. Teor. Fiz. Pis'ma Red. 30, 719 [JETP Lett. 30, 682 (1979)]
- Starobinsky, A. A., 1982, Phys. Lett. 117B, 175
- Steinhardt, P. J., 1980, Phys. Lett. 97B, 147
- Steinhardt, P. J., 1981a, Nucl. Phys. B 179, 492
- Steinhardt, P. J., 1981b, Nucl. Phys. B 190, 583
- Steinhardt, P. J., 1982, in The Very Early Universe, Proceedings of the Nuffield Workshop, Cambridge...1982, edited by G. W. Gibbons, S. W. Hawking, and S. T. C. Siklos (Cambridge University, Cambridge), p. 251
- Steinhardt, P. J., and M. S. Turner, 1984, Phys. Rev. D 29, 2162
- Stone, M., 1976, Phys. Rev. D 14, 3568
- Stone, M., 1977, Phys. Lett. 67B, 186
- Symanzik, K., 1970, commun. Math. Phys. 16, 48
- Tamvakis, K., and C. Vayonakis, 1982, Phys. Lett. 109B, 283
- 't Hooft, G., 1975, Acta Univ. Wratislav. 38, XII, "Functional and Probabilistic Methods in Quantum Field Theory," Vol 1
- Toussaint, D., S. B. Treiman, F. Wilczek, and A. Zee, 1979, Phys. Rev. D 19, 1036
- Turner, M. S., 1982, in The Very Early Universe, Proceedings of the Nuffield Workshop, Cambridge...1982, edited by G. W. Gibbons, S. W. Hawking, and S. T. C. Siklos (Cambridge University, Cambridge), p. 297
- Unruh, W., 1974, Phys. Rev. D 10, 3194
- Unruh, W., 1976, Phys. Rev. D 14, 870
- Vilenkin, A., 1983a, Nucl. Phys. B 226, 527
- Vilenkin, A., 1983b, Nucl. Phys. B 226, 504
- Vilenkin, A., and L. H. Ford, 1982, Phys. Rev. D 26, 1231
- Voloshin, M. B., I. Yu. Kobzarev, and L. B. Okun, 1975, Yad. Fiz. 20, 1229 [Sov. J. Nucl. Phys. 20, 644 (1975)]
- Wald, R. M., 1975, commun. Math. Phys. 45, 9
- Wald, R. M., 1977, commun. Math. Phys. 54, 1
- Wald, R. M., 1979, commun. Math. Phys. 70, 221
- Weinberg, S., 1967, Phys. Rev. Lett. 19, 1264
- Weinberg, S., 1972, Gravitation and Cosmology (Wiley, New York)
- Weinberg, S., 1974, Phys. Rev. D 9, 3357
- Weinberg, S., 1976, Phys. Rev. Lett. 36, 294
- Weinberg, S., 1979, Phys. Rev. Lett. 42, 850
- Weiss, R., 1980, Annu. Rev. Astron. Astrophys. 18, 489
- Wilczek, F., 1984, Erice lectures 1983, ITP preprint NSF-ITP-84-14
- Witten, E., 1981a, Phys. Lett. 105B, 267
- Witten, E., 1981b, Nucl. Phys. B 177, 477
- Yoshimura, M., 1978, Phys. Rev. Lett. 41, 281 ibid.42, 746(E)
- Zel'dovich, Ya. B., 1970, Zh. Eksp. Teor. Fiz. Pis'ma Red. 12, 443 [JETP Lett. 12, 307 (1970)]
- Zel'dovich, Ya. B., 1972, Mon. Not. R. Astron. Soc. 160, 1P
- Zel'dovich, Ya. B., and M. Yu. Khlopov, 1978, Phys. Lett. 79B, 239
- Zel'dovich, Ya. B., and A. A. Starobinsky, 1971, Zh. Eksp. Teor. Fiz. 61, 2161 [Sov. Phys.—JETP 34, 1159 (1971)]
- Zumino, B., 1970, in Lectures in Elementary Particles and Quantum Field Theory: 1970 Brandeis University Summer Institute in Theoretical Physics, edited by Stanley Deser, Marc Grisaru, and Hugh Pendleton (MIT, Cambridge, Mass.), Vol. 2, p. 437