Quantum contributions to cosmological correlations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 72, Issue 4, 2005, Pages 1-19

  Weinberg, Steven ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749158525     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.72.043514     Document Type: Article

References (45)

1. For a review, see N. Bartolo, E. Komatsu, S. Matarrese, and A. Riotto, Phys. Rep. PRPLCM 0370-1573 402, 103 (2004). 10.1016/j.physrep.2004.08.022
2. J. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 05 (2003) 013. 10.1088/1126-6708/2003/05/013
3. For other work on this problem, see A. Gangui, F. Lucchin, S. Matarrese, and S. Mollerach, Astrophys. J. ASJOAB 0004-637X 430, 447 (1994); 10.1086/174421
4. P. Creminelli, J. Cosmol. Astropart. Phys. 10 (2003) 003; 1475-7516 10.1088/1475-7516/2003/10/003
5. P. Creminelli and M. Zaldarriaga, J. Cosmol. Astropart. Phys. 10 (2004) 006; 1475-7516 10.1088/1475-7516/2004/10/006
6. G.I. Rigopoulos, E.P.S. Shellard, and B.J.W. van Tent, astro-ph/0410486;
7. S. Seery and J.E. Lidsey, hep-th/0506056;
8. and Ref.
9. J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 46, 1401 (1960);
10. J. Schwinger J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 2, 407 (1961). 10.1063/1.1703727
11. Also see K.T. Mahanthappa, Phys. Rev. PHRVAO 0031-899X 126, 329 (1962); 10.1103/PhysRev.126.329
12. P.M. Bakshi and K.T. Mahanthappa, J. Math. Phys. (N.Y.) 4, 1 (1963); JMAPAQ 0022-2488 10.1063/1.1703883
13. P.M. Bakshi K.T. Mahanthappa J. Math. Phys. (N.Y.) 4, 12 (1963); JMAPAQ 0022-2488 10.1063/1.1703879
14. L.V. Keldysh, Sov. Phys. JETP SPHJAR 0038-5646 20, 1018 (1965);
15. D. Boyanovsky and H.J. de Vega, Ann. Phys. (N.Y.) APNYA6 0003-4916 307, 335 (2003); 10.1016/S0003-4916(03)00115-5
16. B. DeWitt, The Global Approach to Quantum Field Theory (Clarendon Press, Oxford, 2003), Sec. 31.
17. This formalism has been applied to cosmology by E. Calzetta and B.L. Hu, Phys. Rev. D 35, 495 (1987); PRVDAQ 0556-2821 10.1103/PhysRevD.35.495
18. M. Morikawa, Prog. Theor. Phys. PTPKAV 0033-068X 93, 685 (1995); 10.1143/PTP.93.685
19. N.C. Tsamis and R. Woodard, Ann. Phys. (N.Y.) 238, 1 (1995); APNYA6 0003-4916 10.1006/aphy.1995.1015
20. N.C. Tsamis R. Woodard Ann. Phys. (N.Y.) 253, 1 (1997); APNYA6 0003-4916 10.1006/aphy.1997.5613
21. N.C. Tsamis R. Woodard Phys. Lett. B 426, 21 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00159-2
22. V.K. Onemli and R.P. Woodard, Classical Quantum Gravity CQGRDG 0264-9381 19, 4607 (2002); 10.1088/0264-9381/19/17/311
23. T. Prokopec, O. Tornkvist, and R.P. Woodard, Ann. Phys. (N.Y.) 303, 251 (2003); APNYA6 0003-4916 10.1016/S0003-4916(03)00004-6
24. T. Prokopec and R.P. Woodard, J. High Energy Phys. JHEPFG 1029-8479 10 (2003) 059; 10.1088/1126-6708/2003/10/059
25. V.K. Onemli and R.P. Woodard, Phys. Rev. D 70, 107301 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.107301
26. D. Boyanovsky, H.J. de Vega, and N.G. Sanchez, astro-ph/0503669 (and earlier articles by Boyanovsky et al. referred to therein);
27. T. Brunier, V.K. Onemli, and R.P. Woodard, Classical Quantum Gravity CQGRDG 0264-9381 22, 59 (2005); 10.1088/0264-9381/22/1/005
28. H. Collins and R. Holman, Phys. Rev. D PRVDAQ 0556-2821 71, 085009 (2005) 10.1103/PhysRevD.71.085009
29. and hep-th/0507081; but not (as far as I know) to the problem of calculating cosmological correlation functions.
30. F. Bernardeau, T. Brunier, and J-P. Uzam, Phys. Rev. D 69, 063520 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.063520
31. The constancy of this quantity outside the horizon has been used in various special cases by J.M. Bardeen, Phys. Rev. D 22, 1882 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.1882
32. D.H. Lyth, Phys. Rev. D 31, 1792 (1985). PRVDAQ 0556-2821 10.1103/PhysRevD.31.1792
33. For reviews, see J. Bardeen, in Cosmology and Particle Physics, edited by, Li-zhi Fang, and, A. Zee, (Gordon and Breach, New York, 1988);
34. A.R. Liddle and D.H. Lyth, Cosmological Inflation and Large Scale Structure (Cambridge University Press, Cambridge, UK, 2000).
35. R.S. Arnowitt, S. Deser, and C.W. Misner, in Gravitation: An Introduction to Current Research, edited by, L. Witten, (Wiley, New York, 1962), p. 227.
36. This classic article is now available as gr-qc/0405109.
37. V.S. Mukhanov, H.A. Feldman, and R.H. Brandenberger, Phys. Rep. 215, 203 (1992); PRPLCM 0370-1573 10.1016/0370-1573(92)90044-Z
38. E.D. Stewart and D.H. Lyth, Phys. Lett. B 302, 171 (1993). PYLBAJ 0370-2693 10.1016/0370-2693(93)90379-V
39. N.C. Tsamis and R. Woodard, Ref.
40. A. Vilenkin and L.H. Ford, Phys. Rev. D 26, 1231 (1982); PRVDAQ 0556-2821 10.1103/PhysRevD.26.1231
41. A. Vilenkin, Nucl. Phys. NUPBBO 0550-3213 B226, 527 (1983). 10.1016/0550-3213(83)90208-0
42. R. Kubo, J. Math. Phys. (N.Y.) 4, 174 (1963). JMAPAQ 0022-2488 10.1063/1.1703941
43. See, e.g., S. Weinberg, The Quantum Theory of Fields (Cambridge University Press, Cambridge, UK, 1995), Vol. I, Sec. 9.1.
44. The Quantum Theory of Fields (Ref.), Sec. 9.2.
45. S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, UK, 1985), pp. 139-142.