Tree theorem for inflation

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 78, Issue 6, 2008, Pages

  Weinberg, Steven ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 52949087516     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.78.063534     Document Type: Article

References (30)

1. J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 46, 1401 (1960); 10.1073/pnas.46.10.1401
2. Also see K.T. Mahanthappa, Phys. Rev. 126, 329 (1962); PHRVAO 0031-899X 10.1103/PhysRev.126.329
3. P.M. Bakshi and K.T. Mahanthappa, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 4, 1 (1963); 10.1063/1.1703883
4. P.M. Bakshi K.T. Mahanthappa J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 4, 12 (1963); 10.1063/1.1703879
5. L.V. Keldysh, Sov. Phys. JETP 20, 1018 (1965); SPHJAR 0038-5646
6. P. Danielewicz, Ann. Phys. (N.Y.) APNYA6 0003-4916 152, 239 (1984); 10.1016/0003-4916(84)90092-7
7. K Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep. 118, 1 (1985); PRPLCM 0370-1573 10.1016/0370-1573(85)90136-X
8. R.D. Jordan, Phys. Rev. D 33, 444 (1986); PRVDAQ 0556-2821 10.1103/PhysRevD.33.444
9. B. DeWitt, The Global Approach to Quantum Field Theory (Clarendon, Oxford, 2003): Sec. 31. For applications to cosmology;
10. see E. Calzetta and B.L. Hu, Phys. Rev. D 35, 495 (1987); PRVDAQ 0556-2821 10.1103/PhysRevD.35.495
11. M. Morikawa, Prog. Theor. Phys. 93, 685 (1995); PTPKAV 0033-068X 10.1143/PTP.93.685
12. N.C. Tsamis and R. Woodard, Ann. Phys. (N.Y.) APNYA6 0003-4916 238, 1 (1995); 10.1006/aphy.1995.1015
13. N.C. Tsamis R. Woodard Ann. Phys. (N.Y.) APNYA6 0003-4916 253, 1 (1997); 10.1006/aphy.1997.5613
14. N.C. Tsamis R. Woodard Phys. Lett. B 426, 21 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00159-2
15. V.K. Onemli and R.P. Woodard, Classical Quantum Gravity CQGRDG 0264-9381 19, 4607 (2002); 10.1088/0264-9381/19/17/311
16. T. Prokopec, O. Tornkvist, and R.P. Woodard, Ann. Phys. (N.Y.) APNYA6 0003-4916 303, 251 (2003); 10.1016/S0003-4916(03)00004-6
17. T. Prokopec and R.P. Woodard, J. High Energy Phys. JHEPFG 1029-8479 10 (2003) 059; 10.1088/1126-6708/2003/10/059
18. V.K. Onemli and R.P. Woodard, Phys. Rev. D 70, 107301 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.107301
19. 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
20. S. Weinberg, Phys. Rev. D 72, 043514 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.043514
21. S. Weinberg Phys. Rev. D 74, 023508 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.74.023508
22. M. van der Meulen and J. Smit, J. Cosmol. Astropart. Phys. 1475-7516 11, 023 (2007).
23. It is shown by S. Weinberg, Phys. Rev. D 74, 023508 (2006) that in a broad class of theories there are no contributions to the correlation functions involving positive powers of the Robertson-Walker scale factor a, though powers of ln a are possible. PRVDAQ 0556-2821 10.1103/PhysRevD.74.023508
24. The possibility of powers of ln a, arising when the effective cutoff provided by renormalization is at virtual physical wave numbers of order H, was pointed out by S. Weinberg, Phys. Rev. D 72, 043514 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.043514
25. This was found to occur by M. van der Meulen and J. Smit, Ref..
26. For a nonlinear treatment, see J.M. Maldacena, J. High Energy Phys. JHEPFG 1029-8479 05 (2003) 013 for the case of single-field inflation; 10.1088/1126-6708/2003/05/013
27. D.H. Lyth, K.A. Malik, and M. Sasaki, J. Cosmol. Astropart. Phys. 1475-7516 05 (2005) 004 for single-field inflation and its aftermath. 10.1088/1475-7516/2005/05/004
28. S. Coleman, in Aspects of Symmetry (Cambridge University Press, Cambridge, England, 1985), p. 139.
29. S. Weinberg, Phys. Rev. D 72, 043514 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.043514
30. D. Seery, K.A. Malik, and D.H. Lyth, J. Cosmol. Astropart. Phys. 1475-7516 03 (2008) 014. 10.1088/1475-7516/2008/03/014