The renormalization of the energy-momentum tensor for an effective initial state

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 74, Issue 4, 2006, Pages

  Collins, Hael ^a   Holman, R ^b  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747303179     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.74.045009     Document Type: Article

References (83)

1. H. Collins and R. Holman, Phys. Rev. D 71, 085009 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.085009
2. H. Collins and R. Holman, hep-th/0507081.
3. K. Schalm, G. Shiu, and J.P. van der Schaar, J. High Energy Phys. JHEPFG 1029-8479 04 (2004) 076; 10.1088/1126-6708/2004/04/076
4. B. Greene, K. Schalm, J.P. van der Schaar, and G. Shiu, eConf C041213, 0001 (2004).
5. B.R. Greene, K. Schalm, G. Shiu, and J.P. van der Schaar, J. Cosmol. Astropart. Phys. 1475-7516 02 (2005) 001; 10.1088/1475-7516/2005/02/001
6. K. Schalm, G. Shiu, and J.P. van der Schaar, AIP Conf. Proc. No. 743 (AIP, New York, 2005), p. 362.
7. R. Easther, W.H. Kinney, and H. Peiris, J. Cosmol. Astropart. Phys. 1475-7516 05 (2005) 009; 10.1088/1475-7516/2005/05/009
8. R. Easther W.H. Kinney H. Peiris J. Cosmol. Astropart. Phys. 1475-7516 08 (2005) 001. 10.1088/1475-7516/2005/08/001
9. P.R. Anderson, C. Molina-Paris, and E. Mottola, Phys. Rev. D 72, 043515 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.043515
10. H. Georgi, Weak Interactions And Modern Particle Theory (Benjamin/Cummings, Menlo Park, CA, 1984);
11. H. Georgi Annu. Rev. Nucl. Part. Sci. ARPSDF 0163-8998 43, 209 (1993);
12. I.Z. Rothstein, hep-ph/0308266.
13. N. Kaloper, M. Kleban, A.E. Lawrence, and S. Shenker, Phys. Rev. D 66, 123510 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.123510
14. N. Kaloper, M. Kleban, A. Lawrence, S. Shenker, and L. Susskind, J. High Energy Phys. JHEPFG 1029-8479 11 (2002) 037. 10.1088/1126-6708/2002/11/037
15. C.P. Burgess, J.M. Cline, F. Lemieux, and R. Holman, J. High Energy Phys. JHEPFG 1029-8479 02 (2003) 048; 10.1088/1126-6708/2003/02/048
16. C.P. Burgess, J.M. Cline, and R. Holman, J. Cosmol. Astropart. Phys. 1475-7516 10 (2003) 004; 10.1088/1475-7516/2003/10/004
17. C.P. Burgess, J. Cline, F. Lemieux, and R. Holman, astro-ph/0306236.
18. J. Martin and R.H. Brandenberger, Phys. Rev. D 63, 123501 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.123501
19. R.H. Brandenberger and J. Martin, Mod. Phys. Lett. A 16, 999 (2001). MPLAEQ 0217-7323 10.1142/S0217732301004170
20. R. Easther, B.R. Greene, W.H. Kinney, and G. Shiu, Phys. Rev. D 64, 103502 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.103502
21. R. Easther B.R. Greene W.H. Kinney G. Shiu Phys. Rev. D 67, 063508 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.063508
22. G. Shiu and I. Wasserman, Phys. Lett. B 536, 1 (2002); PYLBAJ 0370-2693 10.1016/S0370-2693(02)01835-X
23. R. Easther, B.R. Greene, W.H. Kinney, and G. Shiu, Phys. Rev. D 66, 023518 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.023518
24. J.C. Niemeyer, Phys. Rev. D 63, 123502 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.123502
25. A. Kempf, Phys. Rev. D 63, 083514 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.083514
26. J.C. Niemeyer and R. Parentani, Phys. Rev. D 64, 101301 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.101301
27. A. Kempf and J.C. Niemeyer, Phys. Rev. D 64, 103501 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.103501
28. A.A. Starobinsky, Pis'ma Zh. Eksp. Teor. Fiz. 73, 415 (2001) PZETAB 0370-274X
29. [A.A. Starobinsky JETP Lett. 73, 371 (2001)]; JTPLA2 0021-3640 10.1134/1.1381588
30. L. Hui and W.H. Kinney, Phys. Rev. D 65, 103507 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.103507
31. S. Shankaranarayanan, Classical Quantum Gravity CQGRDG 0264-9381 20, 75 (2003); 10.1088/0264-9381/20/1/305
32. S.F. Hassan and M.S. Sloth, Nucl. Phys. NUPBBO 0550-3213 B674, 434 (2003); 10.1016/j.nuclphysb.2003.09.041
33. K. Goldstein and D.A. Lowe, Phys. Rev. D 67, 063502 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.063502
34. V. Bozza, M. Giovannini, and G. Veneziano, J. Cosmol. Astropart. Phys. 1475-7516 05 (2003) 001; 10.1088/1475-7516/2003/05/001
35. G.L. Alberghi, R. Casadio, and A. Tronconi, Phys. Lett. B 579, 1 (2004); PYLBAJ 0370-2693 10.1016/j.physletb.2003.11.004
36. J. Martin and R. Brandenberger, Phys. Rev. D 68, 063513 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.68.063513
37. U.H. Danielsson, Phys. Rev. D 66, 023511 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.023511
38. U.H. Danielsson J. High Energy Phys. JHEPFG 1029-8479 07 (2002) 040; 10.1088/1126-6708/2002/07/040
39. R.H. Brandenberger and J. Martin, Int. J. Mod. Phys. A 17, 3663 (2002). IMPAEF 0217-751X 10.1142/S0217751X02010765
40. H. Collins, R. Holman, and M.R. Martin, Phys. Rev. D 68, 124012 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.68.124012
41. H. Collins and M.R. Martin, Phys. Rev. D 70, 084021 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.084021
42. H. Collins, hep-th/0312144.
43. A. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic, Chur, Switzerland, 1990);
44. E.W. Kolb and M.S. Turner, The Early Universe (Addison-Wesley, Reading, MA, 1990);
45. A. Liddle and D. Lyth, Cosmological Inflation and Large-Scale Structure (Cambridge University Press, Cambridge, England, 2000).
46. S. Dodelson, Modern Cosmology (Academic Press, San Diego, CA, 2003).
47. J.S. Schwinger, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 2, 407 (1961); 10.1063/1.1703727
48. L.V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1515 (1964) ZETFA7 0044-4510
49. [L.V. Keldysh Sov. Phys. JETP 20, 1018 (1965)]; SPHJAR 0038-5646
50. K.T. Mahanthappa, Phys. Rev. 126, 329 (1962); PHRVAO 0031-899X 10.1103/PhysRev.126.329
51. P.M. Bakshi and K.T. Mahanthappa, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 4, 12 (1963). 10.1063/1.1703879
52. H. Collins and R. Holman (unpublished).
53. H.V. Peiris, Astrophys. J. Suppl. Ser. 148, 213 (2003); APJSA2 0067-0049 10.1086/377228
54. D.N. Spergel, astro-ph/0603449.
55. T.S. Bunch and P.C. Davies, Proc. R. Soc. A PRLAAZ 0080-4630 360, 117 (1978).
56. M.B. Einhorn and F. Larsen, Phys. Rev. D 67, 024001 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.024001
57. N.A. Chernikov and E.A. Tagirov, Ann. Inst. Henri Poincare, Sect. A AHPAAO 0020-2339 9, 109 (1968);
58. E.A. Tagirov, Ann. Phys. (N.Y.) APNYA6 0003-4916 76, 561 (1973); 10.1016/0003-4916(73)90047-X
59. E. Mottola, Phys. Rev. D 31, 754 (1985); PRVDAQ 0556-2821 10.1103/PhysRevD.31.754
60. B. Allen, Phys. Rev. D 32, 3136 (1985). PRVDAQ 0556-2821 10.1103/PhysRevD.32.3136
61. N.D. Birrell and P.C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982);
62. R.M. Wald, General Relativity (The University of Chicago, Chicago, 1984);
63. S.M. Fulling, Aspects of Quantum Field Theory in Curved Spacetime (Cambridge University Press, Cambridge, England, 1989).
64. L. Parker and S.A. Fulling, Phys. Rev. D 9, 341 (1974); PRVDAQ 0556-2821 10.1103/PhysRevD.9.341
65. S.A. Fulling and L. Parker, Ann. Phys. (N.Y.) APNYA6 0003-4916 87, 176 (1974); 10.1016/0003-4916(74)90451-5
66. S.A. Fulling, L. Parker, and B.L. Hu, Phys. Rev. D 10, 3905 (1974); PRVDAQ 0556-2821 10.1103/PhysRevD.10.3905
67. T.S. Bunch, J. Phys. A JPHAC5 0305-4470 13, 1297 (1980); 10.1088/0305-4470/13/4/022
68. P.R. Anderson and L. Parker, Phys. Rev. D 36, 2963 (1987); PRVDAQ 0556-2821 10.1103/PhysRevD.36.2963
69. N.D. Birrell, Proc. Roy. Soc. Lond. 361, 513 (1978).
70. S.M. Christensen, Phys. Rev. D 14, 2490 (1976). PRVDAQ 0556-2821 10.1103/PhysRevD.14.2490
71. G.W. Gibbons and S.W. Hawking, Phys. Rev. D 15, 2752 (1977). PRVDAQ 0556-2821 10.1103/PhysRevD.15.2752
72. See, for example, Appendix E of R.M. Wald, General Relativity (University of Chicago, Chicago, 1984).
73. S.W. Hawking and G.F.R. Ellis, The Large-scale Structure of Space-time (Cambridge University Press, Cambridge, England, 1973).
74. J.A. Tauber (ESA and Planck Scientific Collaboration), Adv. Space Res. 34, 491 (2004). ASRSDW 0273-1177 10.1016/j.asr.2003.05.025
75. Two such examples include the Square Kilometre Array and the Cosmic Inflation Probe:, respectively, S. Rawlings, F.B. Abdalla, S.L. Bridle, C.A. Blake, C.M. Baugh, L.J. Greenhill, and J.M. van der Hulst, New Astron. Rev. 48, 1013 (2004); NAREF9 1387-6473 10.1016/j.newar.2004.09.024
76. G.J. Melnick, G.G. Fazio, V. Tolls, D.T. Jaffe, K. Gebhardt, V. Bromm, E. Komatsu, and R.A. Woodruff, Bull. Am. Astron. Soc. AASBAR 0002-7537 36, 1509 (2004).
77. M. Porrati, Phys. Lett. B 596, 306 (2004); PYLBAJ 0370-2693 10.1016/j.physletb.2004.06.090
78. M. Porrati hep-th/0409210;
79. F. Nitti, M. Porrati, and J.W. Rombouts, Phys. Rev. D 72, 063503 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.063503
80. D. Lopez Nacir, F.D. Mazzitelli, and C. Simeone, Phys. Rev. D 72, 124013 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.124013
81. G. Amelino-Camelia, L. Smolin, and A. Starodubtsev, Classical Quantum Gravity CQGRDG 0264-9381 21, 3095 (2004); 10.1088/0264-9381/21/13/002
82. L. Smolin, Nucl. Phys. NUPBBO 0550-3213 B742, 142 (2006); 10.1016/j.nuclphysb.2006.02.017
83. L. Smolin hep-th/0605052.