De Sitter invariance of the dS graviton vacuum

Classical and Quantum Gravity

Volumn 28, Issue 24, 2011, Pages

  Higuchi, Atsushi ^a   Marolf, Donald ^b   Morrison, Ian A ^b  

^a UNIVERSITY OF YORK   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 83455162220     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/28/24/245012     Document Type: Article

References (47)

1. Weinberg S 2008 Cosmology (Oxford: Oxford University Press)
2. Maldacena J M 2003 Non-Gaussian features of primordial fluctuations in single field inflationary models J. High Energy Phys. JHEP05(2003)013
3. Maldacena J M and Pimentel G L 2011 On graviton non-Gaussianities during inflation J. High Energy Phys. JHEP09(2011)045
4. Seery D 2010 Infrared effects in inflationary correlation functions Class. Quantum Grav. 27 124005
5. Giddings S B and Sloth M S 2011 Semiclassical relations and IR effects in de Sitter and slow-roll space-times J. Cosmol. Astropart. Phys. JCAP01(2011)023
6. Giddings S B and Sloth M S 2011 Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies Phys. Rev. D 84 063528
7. Giddings S B, Marolf D and Hartle J B 2006 Observables in effective gravity Phys. Rev. D 74 064018
8. Giddings S B and Marolf D 2007 A global picture of quantum de Sitter space Phys. Rev. D 76 064023
9. Marolf D and Morrison I A 2010 The IR stability of de Sitter: loop corrections to scalar propagators Phys. Rev. D 82 105032
10. Hollands S 2010 Correlators, Feynman diagrams, and quantum no-hair in de Sitter spacetime arXiv:1010.5367
11. Marolf D and Morrison I A 2011 The IR stability of de Sitter QFT: results at all orders Phys. Rev. D 84 044040
12. Marolf D and Morrison I A 2011 The IR stability of de Sitter QFT: physical initial conditions Gen. Rel. Grav. 43 3497
13. Starobinsky A A 1979 Relic gravitation radiation spectrum and initial state of the universe (in Russian) JETP Lett. 30 6825
14. Allen B 1986 The graviton propagator in de Sitter space Phys. Rev. D 34 3670
15. Allen B 1987 The graviton propagator in homogeneous and isotropic space-times Nucl. Phys. B 287 743
16. Allen B and Turyn M 1987 An evaluation of the graviton propagator in de Sitter space Nucl. Phys. B 292 813
17. Higuchi A and Kouris S S 2001 The covariant graviton propagator in de Sitter spacetime Class. Quantum Grav. 18 431728 (Pubitemid 33348315)
18. Higuchi A 1987 Forbidden mass range for spin-2 field theory in de Sitter space-time Nucl. Phys. B 282 397
19. Higuchi A and Kouris S S 2000 Large distance behavior of the graviton two-point function in de Sitter space-time Class. Quantum Grav. 17 307790
20. Higuchi A 1991 Linearized gravity in de Sitter space-time as a representation of SO(4,1) Class. Quantum Grav. 8 200521
21. Higuchi A 1991 Quantum linearization instabilities of de Sitter space-time. 1 Class. Quantum Grav. 8 196181
22. Kleppe G 1993 Breaking of de Sitter invariance in quantum cosmological gravity Phys. Lett. B 317 30511
23. Miao S P, Tsamis N C and Woodard R P 2009 Transforming to Lorentz gauge on de Sitter J. Math. Phys. 50 122502
24. Miao S P, Tsamis N C and Woodard R P 2010 de Sitter breaking through infrared divergences J. Math. Phys. 51 072503
25. Miao S P, Tsamis N C and Woodard R P 2011 The graviton propagator in de Donder gauge on de Sitter background arXiv:1106.0925
26. Unruh W 1998 Cosmological long wavelength perturbations arXiv:astro-ph/9802323
27. Geshnizjani G and Brandenberger R 2005 Back reaction of perturbations in two scalar field inflationary models J. Cosmol. Astropart. Phys. JCAP04(2005)006
28. Lyth D H 2007 The curvature perturbation in a box J. Cosmol. Astropart. Phys. JCAP12(2007)016
29. Bartolo N, Matarrese S, Pietroni M, Riotto A and Seery D 2008 On the physical significance of infra-red corrections to inflationary observables J. Cosmol. Astropart. Phys. JCAP01(2008)015
30. Urakawa Y and Tanaka T 2009 Influence on observation from ir divergence during inflation. I Prog. Theor. Phys. 122 779803
31. Rajaraman A, Kumar J and Leblond L 2010 Constructing infrared finite propagators in inflating space-time Phys. Rev. D 82 023525
32. Byrnes C T, Gerstenlauer M, Hebecker A, Nurmi S and Tasinato G 2010 Inflationary infrared divergences: geometry of the reheating surface versus N formalism J. Cosmol. Astropart. Phys. JCAP08(2010)006
33. Urakawa Y and Tanaka T 2010 Infrared divergence does not affect the gauge-invariant curvature perturbation Phys. Rev. D 82 121301
34. Gerstenlauer M, Hebecker A and Tasinato G 2011 Inflationary correlation functions without infrared divergences J. Cosmol. Astropart. Phys. JCAP06(2011)021
35. Xue W, Dasgupta K and Brandenberger R 2011 Cosmological UV/IR divergences and de Sitter spacetime Phys. Rev. D 83 083520
36. Chialva D and Mazumdar A 2011 Eliminating infrared divergences in an inflationary cosmology arXiv:1103.1312
37. Riotto A and Sloth M S 2011 The probability equation for the cosmological comoving curvature perturbation J. Cosmol. Astropart. Phys. JCAP10(2011)003
38. Ford L H and Parker L 1977 Quantized gravitational wave perturbations in RobertsonWalker universes Phys. Rev. D 16 16018
39. Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York: Dover)
40. Wald R M and Zoupas A 2000 A General definition of conserved quantities in general relativity and other theories of gravity Phys. Rev. D 61 084027
41. Kouris S S 2001 The Weyl tensor two-point function in de Sitter space-time Class. Quantum Grav. 18 49618
42. Faizal M and Higuchi A 2011 Physical equivalence between the covariant and physical graviton two-point functions in de Sitter spacetime arXiv:1107.0395
43. Tsamis N C and Woodard R P 1994 The Structure of perturbative quantum gravity on a de Sitter background Commun. Math. Phys. 162 21748
44. Vilenkin A 1983 Quantum fluctuations in the new inflationary universe Nucl. Phys. B 226 527
45. Higuchi A and Weeks R H 2003 The physical graviton two-point function in de Sitter spacetime with S(3) spatial sections Class. Quantum Grav. 20 300522 (Pubitemid 36881461)
46. Verch R 1994 Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved space-time Commun. Math. Phys. 160 507 (Pubitemid 24773483)
47. Hawking S W, Hertog T and Turok N 2000 Gravitational waves in open de Sitter space Phys. Rev. D 62 063502