Stress tensor fluctuations in de Sitter spacetime

Journal of Cosmology and Astroparticle Physics

Volumn 2010, Issue 5, 2010, Pages

  Pérez Nadal, Guillem ^a   Roura, Albert ^b   Verdaguer, Enric ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

^b ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

Cosmological perturbation theory; Ination; Quantum field theory on curved space

Indexed keywords

EID: 77952809233     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2010/05/036     Document Type: Article

References (78)

1. V.F. Mukhanov, 2005 Physical foundations of cosmology, Cambridge University Press, Cambridge U.K.
2. S. Weinberg, 2008 Cosmology, Oxford University Press, New York U.S.A.
3. A.A. Starobinsky, 1979 Spectrum of relict gravitational radiation and the early state of the universe, JETP Lett. 30 682
4. V.F. Mukhanov and G.V. Chibisov, 1981 Quantum fluctuation and nonsingular universe (in Russian), JETP Lett. 33 532
5. V.F. Mukhanov, H.A. Feldman and R.H. Brandenberger, 1992 Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions, Phys. Rept. 215 203
6. S. Weinberg, 2005 Quantum contributions to cosmological correlations, Phys. Rev. D 72 043514 [hep-th/0506236]
7. M.S. Sloth, 2006 On the one loop corrections to inflation and the CMB anisotropies, Nucl. Phys. B 748 149 [astro-ph/0604488]
8. M.S. Sloth, 2007 On the one loop corrections to inflation. II: The consistency relation, Nucl. Phys. B 775 78 [hep-th/0612138]
9. D. Seery, 2007 One-loop corrections to a scalar field during inflation J. Cosmol. Astropart. Phys. JCAP11(2007)025 [0707.3377]
10. D. Seery, 2008 One-loop corrections to the curvature perturbation from inflation J. Cosmol. Astropart. Phys. JCAP02(2008)006 [0707.3378]
11. Y. Urakawa and K.-i. Maeda, 2008 One-loop corrections to scalar and tensor perturbations during inflation in stochastic gravity, Phys. Rev. D 78 064004 [0801.0126]
12. P. Adshead, R. Easther and E.A. Lim, 2009 The 'in-in' formalism and cosmological perturbations, Phys. Rev. D 80 083521 [0904.4207]
13. L. Senatore and M. Zaldarriaga, On loops in inflation, [0912.2734]
14. V.F. Mukhanov, L.R.W. Abramo and R.H. Brandenberger, 1997 On the back reaction problem for gravitational perturbations, Phys. Rev. Lett. 78 1624 [gr-qc/9609026]
15. L.R.W. Abramo, R.H. Brandenberger and V.F. Mukhanov, 1997 The energy-momentum tensor for cosmological perturbations, Phys. Rev. D 56 3248 [gr-qc/9704037]
16. L.R.W. Abramo and R.P. Woodard, 1999 One loop back reaction on chaotic inflation, Phys. Rev. D 60 044010 [astro-ph/9811430]
17. B. Losic and W.G. Unruh, 2005 Long-wavelength metric backreactions in slow-roll inflation, Phys. Rev. D 72 123510 [gr-qc/0510078]
18. B. Losic and W.G. Unruh, 2008 Cosmological perturbation theory in slow-roll spacetimes, Phys. Rev. Lett. 101 111101 [0804.4296]
19. N.C. Tsamis and R.P. Woodard, 1996 Quantum gravity slows inflation, Nucl. Phys. B 474 235 [hep-ph/9602315]
20. N.C. Tsamis and R.P. Woodard, 1997 The quantum gravitational back-reaction on inflation, Annals Phys. 253 1 [hep-ph/9602316]
21. W.G. Unruh, Cosmological long wavelength perturbations, [astro-ph/9802323]
22. L.R. Abramo and R.P. Woodard, 2002 A scalar measure of the local expansion rate, Phys. Rev. D 65 043507 [astro-ph/0109271]
23. G. Geshnizjani and R. Brandenberger, 2002 Back reaction and local cosmological expansion rate, Phys. Rev. D 66 123507 [gr-qc/0204074]
24. G. Geshnizjani and R. Brandenberger, 2005 Back reaction of perturbations in two scalar field inflationary models J. Cosmol. Astropart. Phys. JCAP04(2005)006 [hep-th/0310265]
25. N.C. Tsamis and R.P. Woodard, 2005 A measure of cosmological acceleration, Class. Quant. Grav. 22 4171 [gr-qc/0506089]
26. J. Garriga and T. Tanaka, 2008 Can infrared gravitons screen Λ?, Phys. Rev. D 77 024021 [0706.0295]
27. A.M. Polyakov, 2008 de Sitter space and eternity, Nucl. Phys. B 797 199 [0709.2899]
28. E. Alvarez and R. Vidal, 2009 Eternity and the cosmological constant J. High Energy Phys. JHEP10(2009)045 [0907.2375]
29. E.T. Akhmedov, Real or imaginary? (On pair creation in de Sitter space), [0909.3722]
30. B. Allen and T. Jacobson, 1986 Vector two point functions in maximally symmetric spaces, Commun. Math. Phys. 103 669
31. B. Allen and M. Turyn, 1987 An evaluation of the graviton propagator in de Sitter space, Nucl. Phys. B 292 813
32. I. Antoniadis and E. Mottola, 1991 Graviton fluctuations in de Sitter space, J. Math. Phys. 32 1037
33. A. Higuchi and S.S. Kouris, 2001 The covariant graviton propagator in de Sitter spacetime, Class. Quant. Grav. 18 4317 [gr-qc/0107036]
34. A. Higuchi and Y.C. Lee, 2008 How to use retarded Green's functions in de Sitter spacetime, Phys. Rev. D 78 084031 [0808.0642]
35. S.S. Kouris, 2001 The Weyl tensor two-point function in de Sitter spacetime, Class. Quant. Grav. 18 4961 [gr-qc/0107064]
36. T.S. Bunch and P.C.W. Davies, 1978 Quantum field theory in de Sitter space: renormalization by point splitting Proc. Roy. Soc. Lond. A 360 117
37. N.D. Birrell and P.C.W. Davies, 1994 Quantum fields in curved space, Cambridge University Press, Cambridge U.K.
38. B. Allen, 1985 Vacuum states in de Sitter space, Phys. Rev. D 32 3136
39. C.W. Misner, K.S. Thorne and J.A. Wheeler, 1973 Gravitation, Freeman, San Francisco U.S.A.
40. R.M. Wald, 1984 General relativity, The University of Chicago Press, Chicago U.S.A.
41. J.L. Synge, 1960 Relativity: the general theory, North-Holland, Amsterdam The Neatherland
42. P.C. Peters, 1969 Covariant electromagnetic potentials and fields in Friedmann universes J. Math. Phys. 10 1216
43. M. Spradlin, A. Strominger and A. Volovich, Les Houches lectures on de Sitter space, [hep-th/0110007]
44. E. Joung, J. Mourad and R. Parentani, 2007 Group theoretical approach to quantum fields in de Sitter space II. The complementary and discrete series J. High Energy Phys. JHEP09(2007)030 [0707.2907]
45. J.-P. Gazeau, P. Siegl and A. Youssef, 2010 Krein spaces in de Sitter quantum theories, SIGMA 6 011 [1001.4810]
46. M. Abramowitz and I.A. Stegun, 1972 Handbook of mathematical functions, Dover, New York U.S.A.
47. B. Allen and A. Folacci, 1987 The massless minimally coupled scalar field in de Sitter space, Phys. Rev. D 35 3771
48. K. Kirsten and J. Garriga, 1993 Massless minimally coupled fields in de Sitter space: O(4) symmetric states versus de Sitter invariant vacuum, Phys. Rev. D 48 567 [gr-qc/9305013]
49. A. Roura and E. Verdaguer, 1999 Spacelike fluctuations of the stress tensor for de Sitter vacuum, Int. J. Theor. Phys. 38 3123 [gr-qc/9904039]
50. J. Bros and U. Moschella, 1996 Two-point functions and de Sitter quantum fields Rev. Math. Phys. 8 327
51. R. Martín and E. Verdaguer, 2000 Stochastic semiclassical fluctuations in Minkowski spacetime, Phys. Rev. D 61 124024 [gr-qc/0001098]
52. H. Osborn and G.M. Shore, 2000 Correlation functions of the energy momentum tensor on spaces of constant curvature, Nucl. Phys. B 571 287 [hep-th/9909043]
53. J.F. Donoghue, 1994 General relativity as an effective field theory: The leading quantum corrections, Phys. Rev. D 50 3874 [gr-qc/9405057]
54. C.P. Burgess, 2004 Quantum gravity in everyday life: general relativity as an effective field theory, Living Rev. Rel. 7 5 [gr-qc/0311082]
55. S.B. Giddings, D. Marolf and J.B. Hartle, 2006 Observables in effective gravity, Phys. Rev. D 74 064018 [hep-th/0512200]
56. J.S. Schwinger, 1961 Brownian motion of a quantum oscillator, J. Math. Phys. 2 407
57. K. Chou, Z. Su, B. Hao and L. Yu, 1985 Equilibrium and nonequilibrium formalisms made unified, Phys. Rept. 118 1
58. R.D. Jordan, 1986 Effective field equations for expectation values, Phys. Rev. D 33 444
59. E. Calzetta and B.L. Hu, 1987 Closed time path functional formalism in curved space-time: application to cosmological back reaction problems, Phys. Rev. D 35 495
60. A. Campos and E. Verdaguer, 1994 Semiclassical equations for weakly inhomogeneous cosmologies, Phys. Rev. D 49 1861 [gr-qc/9307027]
61. E. Calzetta and B.L. Hu, 1994 Noise and fluctuations in semiclassical gravity, Phys. Rev. D 49 6636 [gr-qc/9312036]
62. R. Martin and E. Verdaguer, 1999 On the semiclassical Einstein-Langevin equation, Phys. Lett. B 465 113 [gr-qc/9811070]
63. R. Martin and E. Verdaguer, 1999 Stochastic semiclassical gravity, Phys. Rev. D 60 084008 [gr-qc/9904021]
64. B.L. Hu and E. Verdaguer, 2003 Stochastic gravity: a primer with applications Class. Quant. Grav. 20 R1
65. B.L. Hu and E. Verdaguer, 2008 Stochastic gravity: theory and applications Living Rev. Rel. 11 3 [0802.0658]
66. B.L. Hu, A. Roura and E. Verdaguer, 2004 Induced quantum metric fluctuations and the validity of semiclassical gravity, Phys. Rev. D 70 044002 [gr-qc/0402029]
67. E. Tomboulis, 1977 1/N expansion and renormalization in quantum gravity, Phys. Lett. B 70 361
68. J.M. Stewart, 1990 Perturbations of Friedmann-Robertson-Walker cosmological models, Class. Quant. Grav. 7 1169
69. A. Roura and E. Verdaguer, 2008 Cosmological perturbations from stochastic gravity, Phys. Rev. D 78 064010 [0709.1940]
70. J.M. Maldacena, 2003 Non-Gaussian features of primordial fluctuations in single field inflationary models J. High Energy Phys. JHEP05(2003)013 [astro-ph/0210603]
71. P.R. Anderson, W. Eaker, S. Habib, C. Molina-Paris and E. Mottola, 2000 Attractor states and infrared scaling in de Sitter space, Phys. Rev. D 62 124019 [gr-qc/0005102]
72. J.A. Isaacson and B. Rogers, 1991 The Stability of de Sitter space with a scalar quantum field. 1. The Linearized semiclassical Einstein equations, Nucl. Phys. B 364 381
73. B. Rogers and J.A. Isaacson, 1992 The Stability of de Sitter space with a scalar quantum field. 2. The Linear analysis, Nucl. Phys. B 368 415
74. C. Busch, The semiclassical stability of de Sitter space-time, [0803.3204]
75. G. Pérez-Nadal, A. Roura and E. Verdaguer, 2008 Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity, Phys. Rev. D 77 124033 [0712.2282]
76. G. Pérez-Nadal, A. Roura and E. Verdaguer, 2008 Backreaction from non-conformal quantum fields in de Sitter spacetime Class. Quant. Grav. 25 154013
77. J.P. Gazeau, J. Renaud and M.V. Takook, 2000 Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space, Class. Quant. Grav. 17 1415 [gr-qc/9904023]
78. N.A. Chernikov and E.A. Tagirov, 1968 Quantum theory of scalar fields in de Sitter space-time Ann. Inst. Henri Poincaré A 9 109