Loop corrections to cosmological perturbations in multi-field inflationary models

Journal of Cosmology and Astroparticle Physics

Volumn 2009, Issue 7, 2009, Pages

  Gao, Xian ^a   Xu, Fanrong ^a,b  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Cosmological perturbation theory; Cosmology of theories beyond the SM; Inflation; Physics of the early universe

Indexed keywords

EID: 70350641686     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2009/07/042     Document Type: Article

References (80)

1. WMAP collaboration, E. Komatsu et al., 2009 Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation, Astrophys. J. Suppl. 180 330 [0803.0547]
2. D.H. Lyth and A. Riotto, 1999 Particle physics models of inflation and the cosmological density perturbation, Phys. Rept. 314 1 [hep-ph/9807278]
3. 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]
4. N. Bartolo, E. Komatsu, S. Matarrese and A. Riotto, 2004 Non-Gaussianity from inflation: Theory and observations, Phys. Rept. 402 103 [astro-ph/0406398]
5. D. Seery and J.E. Lidsey, 2005 Primordial non-Gaussianities in single field inflation J. Cosmol. Astropart. Phys. JCAP06(2005)003 [astro-ph/0503692]
6. X. Chen, M.-x. Huang, S. Kachru and G. Shiu, 2007 Observational signatures and non-Gaussianities of general single field inflation J. Cosmol. Astropart. Phys. JCAP01(2007)002 [hep-th/0605045]
7. X. Chen, M.-x. Huang and G. Shiu, The inflationary trispectrum for models with large non- Gaussianities, [hep-th/0610235]
8. F. Arroja and K. Koyama, 2008 Non-Gaussianity from the trispectrum in general single field inflation, Phys. Rev. D 77 083517 [0802.1167]
9. D. Seery and J.E. Lidsey, 2005 Primordial non-Gaussianities from multiple-field inflation J. Cosmol. Astropart. Phys. JCAP09(2005)011 [astro-ph/0506056]
10. D. Langlois, S. Renaux-Petel, D.A. Steer and T. Tanaka, 2008 Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation, Phys. Rev. D 78 063523 [0806.0336]
11. D. Langlois, S. Renaux-Petel, D.A. Steer and T. Tanaka, 2008 Primordial fluctuations and non-Gaussianities in multi- field DBI inflation, Phys. Rev. Lett. 101 061301 [0804.3139]
12. D.A. Easson, R. Gregory, D.F. Mota, G. Tasinato and I. Zavala, 2008 Spinflation J. Cosmol. Astropart. Phys. JCAP02(2008)010 [0709.2666]
13. M.-x. Huang, G. Shiu and B. Underwood, 2008 Multifield DBI Inflation and Non-Gaussianities, Phys. Rev. D 77 023511 [0709.3299]
14. F. Arroja, S. Mizuno and K. Koyama, 2008 Non-Gaussianity from the bispectrum in general multiple field inflation J. Cosmol. Astropart. Phys. JCAP08(2008)015 [0806.0619]
15. Y.-F. Cai and W. Xue, N-flation from multiple DBI type actions, [0809.4134]
16. Y.-F. Cai and H.-Y. Xia, 2009 Inflation with multiple sound speeds: a model of multiple DBI type actions and non-Gaussianities, Phys. Lett. B 677 226 [0904.0062]
17. X. Ji and T. Wang, Curvature and Entropy Perturbations in Generalized Gravity, [0903.0379]
18. Q.-G. Huang, 2009 A geometric description of the non-Gaussianity generated at the end of multi-field inflation J. Cosmol. Astropart. Phys. JCAP06(2009)035 [0904.2649]
19. Q.-G. Huang, 2009 The Trispectrum in the Multi-brid Inflation J. Cosmol. Astropart. Phys. JCAP05(2009)005 [0903.1542]
20. C. Gordon, D. Wands, B.A. Bassett and R. Maartens, 2001 Adiabatic and entropy perturbations from inflation, Phys. Rev. D 63 023506 [astro-ph/0009131]
21. B.A. Bassett, S. Tsujikawa and D. Wands, 2006 Inflation dynamics and reheating, Rev. Mod. Phys. 78 537 [astro-ph/0507632]
22. X. Gao, 2008 Primordial Non-Gaussianities of General Multiple Field Inflation J. Cosmol. Astropart. Phys. JCAP06(2008)029 [0804.1055]
23. X. Gao and B. Hu, Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model, [0903.1920]
24. 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]
25. 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]
26. L.R.W. Abramo and R.P. Woodard, 1999 One loop back reaction on chaotic inflation, Phys. Rev. D 60 044010 [astro-ph/9811430]
27. W. Unruh, Cosmological long wavelength perturbations, [astro-ph/9802323]
28. 4, Class. Quant. Grav. 19 4607 [gr-qc/0204065]
29. T. Prokopec, O. Tornkvist and R.P. Woodard, 2003 One loop vacuum polarization in a locally de Sitter background, Ann. Phys. 303 251 [gr-qc/0205130]
30. T. Prokopec and R.P. Woodard, 2004 Vacuum polarization and photon mass in inflation, Am. J. Phys. 72 60 [astro-ph/0303358]
31. V.K. Onemli and R.P. Woodard, 2004 Quantum effects can render w < -1 on cosmological scales, Phys. Rev. D 70 107301 [gr-qc/0406098]
32. T. Brunier, V.K. Onemli and R.P. Woodard, 2005 Two loop scalar self-mass during inflation, Class. Quant. Grav. 22 59 [gr-qc/0408080]
33. E.O. Kahya and R.P. Woodard, 2005 Charged scalar self-mass during inflation, Phys. Rev. D 72 104001 [gr-qc/0508015]
34. E.O. Kahya and R.P. Woodard, 2006 One loop corrected mode functions for SQED during inflation, Phys. Rev. D 74 084012 [gr-qc/0608049]
35. E.O. Kahya, V.K. Onemli and R.P. Woodard, A Completely Regular Quantum Stress Tensor with w < - 1, [0904.4811]
36. R.H. Brandenberger, Back reaction of cosmological perturbations and the cosmological constant problem, [hep-th/0210165]
37. 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]
38. R. Brandenberger and A. Mazumdar, 2004 Dynamical relaxation of the cosmological constant and matter creation in the universe J. Cosmol. Astropart. Phys. JCAP08(2004)015 [hep-th/0402205]
39. R.H. Brandenberger and J. Martin, 2005 Back-reaction and the trans-Planckian problem of inflation revisited, Phys. Rev. D 71 023504 [hep-th/0410223]
40. R.H. Brandenberger and C.S. Lam, Back-reaction of cosmological perturbations in the infinite wavelength approximation, [hep-th/0407048]
41. P. Martineau and R.H. Brandenberger, 2005 The effects of gravitational back-reaction on cosmological perturbations, Phys. Rev. D 72 023507 [astro-ph/0505236]
42. I.S. Gerstein, R. Jackiw, S. Weinberg and B.W. Lee, 1971 Chiral loops, Phys. Rev. D 3 2486
43. D. Boyanovsky, H.J. de Vega and N.G. Sanchez, 2006 Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations, Nucl. Phys. B 747 25 [astro-ph/0503669]
44. D. Boyanovsky, H.J. de Vega and N.G. Sanchez, 2005 Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies, Phys. Rev. D 72 103006 [astro-ph/0507596]
45. K. Chaicherdsakul, 2007 Quantum cosmological correlations in an inflating universe: Can fermion and gauge fields loops give a scale free spectrum?, Phys. Rev. D 75 063522 [hep-th/0611352]
46. B. Losic and W.G. Unruh, 2005 Long-wavelength metric backreactions in slow-roll inflation, Phys. Rev. D 72 123510 [gr-qc/0510078]
47. E.O. Kahya and V.K. Onemli, 2007 Quantum Stability of a w < - 1 Phase of Cosmic Acceleration, Phys. Rev. D 76 043512 [gr-qc/0612026]
48. A. Bilandzic and T. Prokopec, 2007 Quantum radiative corrections to slow-roll inflation, Phys. Rev. D 76 103507 [0704.1905]
49. S.P. Kim, 2007 Quantum fluctuations in the inflationary universe, Mod. Phys. Lett. A 22 1921 [astro-ph/0701399]
50. S. Weinberg, 2005 Quantum contributions to cosmological correlations, Phys. Rev. D 72 043514 [hep-th/0506236]
51. S. Weinberg, 2006 Quantum contributions to cosmological correlations. II: can these corrections become large?, Phys. Rev. D 74 023508 [hep-th/0605244]
52. M.S. Sloth, 2006 On the one loop corrections to inflation and the CMB anisotropies, Nucl. Phys. B 748 149 [astro-ph/0604488]
53. M.S. Sloth, 2007 On the one loop corrections to inflation. II: The consistency relation, Nucl. Phys. B 775 78 [hep-th/0612138]
54. D. Seery, 2007 One-loop corrections to a scalar field during inflation J. Cosmol. Astropart. Phys. JCAP11(2007)025 [0707.3377]
55. D. Seery, 2008 One-loop corrections to the curvature perturbation from inflation J. Cosmol. Astropart. Phys. JCAP02(2008)006 [0707.3378]
56. E. Dimastrogiovanni and N. Bartolo, 2008 One-loop graviton corrections to the curvature perturbation from inflation J. Cosmol. Astropart. Phys. JCAP11(2008)016 [0807.2790]
57. P. Adshead, R. Easther and E.A. Lim, 2009 Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections, Phys. Rev. D 79 063504 [0809.4008]
58. P. Adshead, R. Easther and E.A. Lim, The 'in-in' Formalism and Cosmological Perturbations, [0904.4207]
59. 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]
60. H.R.S. Cogollo, Y. Rodriguez and C.A. Valenzuela-Toledo, 2008 On the Issue of the ζ Series Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum J. Cosmol. Astropart. Phys. JCAP08(2008)029 [0806.1546]
61. Y. Rodriguez and C.A. Valenzuela-Toledo, On the Issue of the ζ Series Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part II: the Trispectrum, [0811.4092]
62. C.T. Byrnes, K.-Y. Choi and L.M.H. Hall, 2009 Large non-Gaussianity from two-component hybrid inflation J. Cosmol. Astropart. Phys. JCAP02(2009)017 [0812.0807]
63. D.H. Lyth, 2007 The curvature perturbation in a box J. Cosmol. Astropart. Phys. JCAP12(2007)016 [0707.0361]
64. N. Bartolo, S. Matarrese, M. Pietroni, A. Riotto and D. Seery, 2008 On the Physical Significance of Infra-red Corrections to Inflationary Observables J. Cosmol. Astropart. Phys. JCAP01(2008)015 [0711.4263]
65. K. Enqvist, S. Nurmi, D. Podolsky and G.I. Rigopoulos, 2008 On the divergences of inflationary superhorizon perturbations J. Cosmol. Astropart. Phys. JCAP04(2008)025 [0802.0395]
66. A. Riotto and M.S. Sloth, 2008 On Resumming Inflationary Perturbations beyond One-loop J. Cosmol. Astropart. Phys. JCAP04(2008)030 [0801.1845]
67. Y. Urakawa and T. Tanaka, No influence on observation from IR divergence during inflation I. Single field inflation, [0902.3209]
68. Y. Urakawa and T. Tanaka, Influence on observation from IR divergence during inflation. Multi field inflation, [0904.4415]
69. T.M. Janssen, S.P. Miao, T. Prokopec and R.P. Woodard, 2008 Infrared Propagator Corrections for Constant Deceleration, Class. Quant. Grav. 25 245013 [0808.2449]
70. J.S. Schwinger, 1961 Brownian motion of a quantum oscillator, J. Math. Phys. 2 407
71. 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
72. R.D. Jordan, 1986 Effective Field Equations for Expectation Values, Phys. Rev. D 33 444
73. A.A. Starobinsky, 1985 Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations JETP Lett. 42 152
74. A.A. Starobinsky, 1985 Pisma Zh. Eksp. Teor. Fiz. 42 124
75. M. Sasaki and E.D. Stewart, 1996 A General analytic formula for the spectral index of the density perturbations produced during inflation, Prog. Theor. Phys. 95 71 [astro-ph/9507001]
76. D.H. Lyth, K.A. Malik and M. Sasaki, 2005 A general proof of the conservation of the curvature perturbation J. Cosmol. Astropart. Phys. JCAP05(2005)004 [astro-ph/0411220]
77. S. Shandera, 2009 The structure of correlation functions in single field inflaiton, Phys. Rev. D 79 123518 [0812.0818]
78. L. Leblond and S. Shandera, 2008 Simple Bounds from the Perturbative Regime of Inflation J. Cosmol. Astropart. Phys. JCAP08(2008)007 [0802.2290]
79. C. Cheung, P. Creminelli, A.L. Fitzpatrick, J. Kaplan and L. Senatore, 2008 The Effective Field Theory of Inflation J. High Energy Phys. JHEP03(2008)014 [0709.0293]
80. X. Gao and F. Xu, to appear