Inflationary signatures of single-field models beyond slow-roll

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 5, 2012, Pages

  Ribeiro, Raquel H ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

cosmological perturbation theory; inflation; physics of the early universe

Indexed keywords

EID: 84861830160     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/05/037     Document Type: Article

References (97)

1. WMAP collaboration, E. Komatsu et al., 2011 Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation, Astrophys. J. Suppl. 192 18 [1001.4538]
2. D. Larson et al., 2011 Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters, Astrophys. J. Suppl. 192 16 [1001.4635]
3. N. Jarosik et al., 2011 Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors and Basic Results, Astrophys. J. Suppl. 192 14 [1001.4744]
4. A.H. Guth and D.I. Kaiser, 2005 Inflationary cosmology: exploring the universe from the smallest to the largest scales, Science 307 884 [astro-ph/0502328]
5. A.H. Guth, 1981 The inflationary universe: a possible solution to the horizon and flatness problems, Phys. Rev. D 23 347
6. H.V. Peiris and L. Verde, 2010 The shape of the primordial power spectrum: a last stand before Planck, Phys. Rev. D 81 021302 [0912.0268]
7. E. Komatsu et al., Non-Gaussianity as a probe of the physics of the primordial universe and the astrophysics of the low redshift universe, [0902.4759]
8. 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]
9. D. Seery and J.E. Lidsey, 2005 Primordial non-Gaussianities in single field inflation J. Cosmol. Astropart. Phys. JCAP06(2005)003 [astro-ph/0503692]
10. 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]
11. A.J. Christopherson and K.A. Malik, 2009 The non-adiabatic pressure in general scalar field systems, Phys. Lett. B 675 159 [0809.3518]
12. P. Creminelli, 2003 On non-Gaussianities in single-field inflation J. Cosmol. Astropart. Phys. JCAP10(2003)003 [astro-ph/0306122]
13. X. Chen and Y. Wang, 2010 Quasi-single field inflation and non-Gaussianities J. Cosmol. Astropart. Phys. JCAP04(2010)027 [0911.3380]
14. X. Chen and Y. Wang, 2010 Large non-Gaussianities with intermediate shapes from quasi-single field inflation, Phys. Rev. D 81 063511 [0909.0496]
15. P. Creminelli, G. D'Amico, M. Musso, J. Norena and E. Trincherini, 2011 Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity J. Cosmol. Astropart. Phys. JCAP02(2011)006 [1011.3004]
16. N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, 2010 Large non-Gaussianities in the effective field theory approach to single-field inflation: the bispectrum J. Cosmol. Astropart. Phys. JCAP08(2010)008 [1004.0893]
17. C. Burrage, C. de Rham, D. Seery and A.J. Tolley, 2011 Galileon inflation J. Cosmol. Astropart. Phys. JCAP01(2011)014 [1009.2497]
18. K. Kamada, T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Higgs G-inflation, Phys. Rev. D 83 083515 [1012.4238]
19. D. Baumann and D. Green, 2011 Equilateral non-Gaussianity and new physics on the horizon J. Cosmol. Astropart. Phys. JCAP09(2011)014 [1102.5343]
20. S. Renaux-Petel, 2011 Orthogonal non-Gaussianities from Dirac-Born-Infeld Galileon inflation Class. Quant. Grav. 28 182001 [Erratum ibid 28 (2011) 249601] [1105.6366]
21. S. Renaux-Petel, S. Mizuno and K. Koyama, 2011 Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation J. Cosmol. Astropart. Phys. JCAP11(2011)042 [1108.0305]
22. R.H. Ribeiro and D. Seery, 2011 Decoding the bispectrum of single-field inflation J. Cosmol. Astropart. Phys. JCAP10(2011)027 [1108.3839]
23. A. Achúcarro, J.-O. Gong, S. Hardeman, G.A. Palma and S.P. Patil, 2012 Effective theories of single field inflation when heavy fields matter J. High Energy Phys. JHEP05(2012)066 [1201.6342]
24. A. Avgoustidis et al., Decoupling survives inflation: a critical look at effective field theory violations during inflation, [1203.0016]
25. E. Silverstein and D. Tong, 2004 Scalar speed limits and cosmology: acceleration from D-cceleration, Phys. Rev. D 70 103505 [hep-th/0310221]
26. M. Alishahiha, E. Silverstein and D. Tong, 2004 DBI in the sky, Phys. Rev. D 70 123505 [hep-th/0404084]
27. C. Deffayet, O. Pujolàs, I. Sawicki and A. Vikman, 2010 Imperfect dark energy from kinetic gravity braiding J. Cosmol. Astropart. Phys. JCAP10(2010)026 [1008.0048]
28. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2010 G-inflation: inflation driven by the Galileon field, Phys. Rev. Lett. 105 231302 [1008.0603]
29. S. Mizuno and K. Koyama, 2010 Primordial non-Gaussianity from the DBI Galileons, Phys. Rev. D 82 103518 [1009.0677]
30. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Generalized G-inflation: Inflation with the most general second-order field equations Prog. Theor. Phys. 126 511 [1105.5723]
31. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Primordial non-Gaussianity from G-inflation, Phys. Rev. D 83 103524 [1103.1740]
32. X. Gao and D.A. Steer, 2011 Inflation and primordial non-Gaussianities of 'generalized Galileons' J. Cosmol. Astropart. Phys. JCAP12(2011)019 [1107.2642]
33. C. Deffayet, G. Esposito-Farese and A. Vikman, 2009 Covariant Galileon, Phys. Rev. D 79 084003 [0901.1314]
34. L. Hui and A. Nicolis, A no-hair theorem for the Galileon, [1202.1296]
35. G.W. Horndeski, 1974 Second-order scalar-tensor field equations in a four-dimensional space Int. J. Theor. Phys. 10 363
36. J.M. Bardeen, P.J. Steinhardt and M.S. Turner, 1983 Spontaneous creation of almost scale-free density perturbations in an inflationary universe, Phys. Rev. D 28 679
37. V.F. Mukhanov, H. 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
38. A. De Felice and S. Tsujikawa, 2011 Inflationary non-Gaussianities in the most general second-order scalar-tensor theories Phys. Rev. D 84 083504 [1107.3917]
39. S. Renaux-Petel, 2012 On the redundancy of operators and the bispectrum in the most general second-order scalar-tensor theory J. Cosmol. Astropart. Phys. JCAP02(2012)020 [1107.5020]
40. C. Burrage, R.H. Ribeiro and D. Seery, 2011 Large slow-roll corrections to the bispectrum of noncanonical inflation J. Cosmol. Astropart. Phys. JCAP07(2011)032 [1103.4126]
41. J. Khoury and F. Piazza, 2009 Rapidly-varying speed of sound, scale invariance and non-Gaussian signatures J. Cosmol. Astropart. Phys. JCAP07(2009)026 [0811.3633]
42. J.-L. Lehners, 2008 Ekpyrotic and cyclic cosmology, Phys. Rept. 465 223 [0806.1245]
43. J. Khoury and G.E. Miller, 2011 Towards a cosmological dual to inflation, Phys. Rev. D 84 023511 [1012.0846]
44. D. Baumann, L. Senatore and M. Zaldarriaga, 2011 Scale-invariance and the strong coupling problem J. Cosmol. Astropart. Phys. JCAP05(2011)004 [1101.3320]
45. E.D. Stewart and D.H. Lyth, 1993 A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation, Phys. Lett. B 302 171 [gr-qc/9302019]
46. J.-O. Gong and E.D. Stewart, 2001 The density perturbation power spectrum to second order corrections in the slow roll expansion Phys. Lett. B 510 1 [astro-ph/0101225]
47. J. Choe, J.-O. Gong and E.D. Stewart, 2004 Second order general slow-roll power spectrum J. Cosmol. Astropart. Phys. JCAP07(2004)012 [hep-ph/0405155]
48. H. Wei, R.-G. Cai and A. Wang, 2004 Second-order corrections to the power spectrum in the slow-roll expansion with a time-dependent sound speed, Phys. Lett. B 603 95 [hep-th/0409130]
49. N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, 2010 Tilt and running of cosmological observables in generalized single-field inflation J. Cosmol. Astropart. Phys. JCAP12(2010)026 [1010.3993]
50. 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]
51. S. Weinberg, 2008 Effective field theory for inflation, Phys. Rev. D 77 123541 [0804.4291]
52. X. Chen, 2010 Primordial non-Gaussianities from inflation models Adv. Astron. 2010 638979 [1002.1416]
53. D. Lyth, 1985 Large scale energy density perturbations and inflation, Phys. Rev. D 31 1792
54. D. Wands, K.A. Malik, D.H. Lyth and A.R. Liddle, 2000 A new approach to the evolution of cosmological perturbations on large scales, Phys. Rev. D 62 043527 [astro-ph/0003278]
55. E. Nalson, A.J. Christopherson, I. Huston and K.A. Malik, Quantifying the behaviour of curvature perturbations during inflation, [1111.6940]
56. D.H. Lyth and Y. Rodríguez, 2005 The inflationary prediction for primordial non-Gaussianity, Phys. Rev. Lett. 95 121302 [astro-ph/0504045]
57. D.J. Mulryne, D. Seery and D. Wesley, 2010 Moment transport equations for non-Gaussianity J. Cosmol. Astropart. Phys. JCAP01(2010)024 [0909.2256]
58. D.J. Mulryne, D. Seery and D. Wesley, 2011 Moment transport equations for the primordial curvature perturbation J. Cosmol. Astropart. Phys. JCAP04(2011)030 [1008.3159]
59. D. Wands, N. Bartolo, S. Matarrese and A. Riotto, 2002 An observational test of two-field inflation, Phys. Rev. D 66 043520 [astro-ph/0205253]
60. S. Groot Nibbelink and B. van Tent, 2002 Scalar perturbations during multiple field slow-roll inflation, Class. Quant. Grav. 19 613 [hep-ph/0107272]
61. Z. Lalak, D. Langlois, S. Pokorski and K. Turzyński, 2007 Curvature and isocurvature perturbations in two-field inflation J. Cosmol. Astropart. Phys. JCAP07(2007)014 [0704.0212]
62. C.M. Peterson and M. Tegmark, 2011 Testing two-field inflation, Phys. Rev. D 83 023522 [1005.4056]
63. C.M. Peterson and M. Tegmark, 2011 Non-Gaussianity in two-field inflation, Phys. Rev. D 84 023520 [1011.6675]
64. A. Avgoustidis et al., 2012 The importance of slow-roll corrections during multi-field inflation J. Cosmol. Astropart. Phys. JCAP02(2012)038 [1110.4081]
65. C.M. Peterson and M. Tegmark, Testing multi-field inflation: a geometric approach, [1111.0927]
66. D.H. Lyth and D. Seery, 2008 Classicality of the primordial perturbations, Phys. Lett. B 662 309 [astro-ph/0607647]
67. M. Sasaki and T. Tanaka, 1998 Superhorizon scale dynamics of multiscalar inflation, Prog. Theor. Phys. 99 763 [gr-qc/9801017]
68. J.S. Schwinger, 1961 Brownian motion of a quantum oscillator J. Math. Phys. 2 407
69. L. Keldysh, 1964 Diagram technique for nonequilibrium processes Zh. Eksp. Teor. Fiz. 47 1515
70. R. Jordan, 1986 Effective field equations for expectation values, Phys. Rev. D 33 444
71. E. Calzetta and B. Hu, 1987 Closed time path functional formalism in curved space-time: application to cosmological back reaction problems, Phys. Rev. D 35 495
72. S. Weinberg, 2005 Quantum contributions to cosmological correlations, Phys. Rev. D 72 043514 [hep-th/0506236]
73. S. Weinberg, 2006 Quantum contributions to cosmological correlations. II. Can these corrections become large?, Phys. Rev. D 74 023508 [hep-th/0605244]
74. D. Seery, J.E. Lidsey and M.S. Sloth, 2007 The inflationary trispectrum J. Cosmol. Astropart. Phys. JCAP01(2007)027 [astro-ph/0610210]
75. K. Koyama, 2010 Non-Gaussianity of quantum fields during inflation, Class. Quant. Grav. 27 124001 [1002.0600]
76. E. Komatsu and D.N. Spergel, 2001 Acoustic signatures in the primary microwave background bispectrum, Phys. Rev. D 63 063002 [astro-ph/0005036]
77. L. Senatore, K.M. Smith and M. Zaldarriaga, 2010 Non-Gaussianities in single field inflation and their optimal limits from the WMAP 5-year data J. Cosmol. Astropart. Phys. JCAP01(2010)028 [0905.3746]
78. A. Curto, E. Martínez-González, R. Barreiro and M. Hobson, Constraints on general primordial non-Gaussianity using wavelets for the Wilkinson Microwave anisotropy probe 7-year data, [1105.6106]
79. J. Fergusson and E. Shellard, 2009 The shape of primordial non-Gaussianity and the CMB bispectrum, Phys. Rev. D 80 043510 [0812.3413]
80. NL, Phys. Rev. D 82 023502 [0912.5516]
81. D. Regan, M. Schmittfull, E. Shellard and J. Fergusson, Universal non-Gaussian initial conditions for N-body simulations, [1108.3813]
82. T. Battefeld and J. Grieb, 2011 Anatomy of bispectra in general single-field inflation - modal expansions J. Cosmol. Astropart. Phys. JCAP12(2011)003 [1110.1369]
83. P. Creminelli and M. Zaldarriaga, 2004 Single field consistency relation for the 3-point function J. Cosmol. Astropart. Phys. JCAP10(2004)006 [astro-ph/0407059]
84. S. Matarrese, L. Verde and R. Jimenez, 2000 The abundance of high-redshift objects as a probe of non-Gaussian initial conditions, Astrophys. J. 541 10 [astro-ph/0001366]
85. F. Bernardeau, S. Colombi, E. Gaztañaga and R. Scoccimarro, 2002 Large scale structure of the universe and cosmological perturbation theory, Phys. Rept. 367 1 [astro-ph/0112551]
86. L. Verde, L.-M. Wang, A. Heavens and M. Kamionkowski, 2000 Large scale structure, the cosmic microwave background, and primordial non-gaussianity, Mon. Not. Roy. Astron. Soc. 313 L141 [astro-ph/9906301]
87. X. Chen, 2005 Running non-Gaussianities in DBI inflation, Phys. Rev. D 72 123518 [astro-ph/0507053]
88. M. LoVerde, A. Miller, S. Shandera and L. Verde, 2008 Effects of scale-dependent non-Gaussianity on cosmological structures J. Cosmol. Astropart. Phys. JCAP04(2008)014 [0711.4126]
89. J. Noller and J. Magueijo, 2011 Non-Gaussianity in single field models without slow-roll, Phys. Rev. D 83 103511 [1102.0275]
90. E. Sefusatti and E. Komatsu, 2007 The bispectrum of galaxies from high-redshift galaxy surveys: Primordial non-Gaussianity and non-linear galaxy bias, Phys. Rev. D 76 083004 [0705.0343]
91. N. Afshordi and A.J. Tolley, 2008 Primordial non-Gaussianity, statistics of collapsed objects and the Integrated Sachs-Wolfe effect, Phys. Rev. D 78 123507 [0806.1046]
92. L. Verde, 2010 Non-Gaussianity from large-scale structure surveys Adv. Astron. 2010 768675 [1001.5217]
93. V. Desjacques and U. Seljak, 2010 Primordial non-Gaussianity from the large scale structure, Class. Quant. Grav. 27 124011 [1003.5020]
94. C.T. Byrnes, M. Gerstenlauer, S. Nurmi, G. Tasinato and D. Wands, 2010 Scale-dependent non-Gaussianity probes inflationary physics J. Cosmol. Astropart. Phys. JCAP10(2010)004 [1007.4277]
95. C.T. Byrnes, K. Enqvist and T. Takahashi, 2010 Scale-dependence of Non-Gaussianity in the curvaton model J. Cosmol. Astropart. Phys. JCAP09(2010)026 [1007.5148]
96. D. Seery, D.J. Mulryne, J. Frazer and R.H. Ribeiro, Inflationary perturbation theory is geometrical optics in phase space, [1203.2635]
97. M. Abramowitz and I.A. Stegun, 1970 Handbook of mathematical functions, Dover, New York U.S.A.