A statistical approach to multifield inflation: Many-field perturbations beyond slow roll

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 10, 2012, Pages

  McAllister, Liam ^a   Renaux Petel, Sébastien ^b,c   Xu, Gang ^a,d  

^a School of Operations Research and Industrial Engineering   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c LPTHE   (France)

^d PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

cosmological perturbation theory; ination; nongaussianity; string theory and cosmology

Indexed keywords

EID: 84868251566     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/10/046     Document Type: Article

References (81)

1. A.H. Guth, 1981 The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems, Phys. Rev. D 23 347
2. A.D. Linde, 1982 A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems, Phys. Lett. B 108 389
3. A. Albrecht and P.J. Steinhardt, 1982 Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking, Phys. Rev. Lett. 48 1220
4. D. Baumann and D. Green, 2012 Signatures of Supersymmetry from the Early Universe, Phys. Rev. D 85 103520 [1109.0292]
5. D. Baumann, A. Dymarsky, S. Kachru, I.R. Klebanov and L. McAllister, 2010 D3-brane Potentials from Fluxes in AdS/CFT J. High Energy Phys. JHEP06(2010)072 [1001.5028]
6. M. Dias, J. Frazer and A.R. Liddle, 2012 Multifield consequences for D-brane inflation J. Cosmol. Astropart. Phys. JCAP06(2012)020 [1203.3792]
7. S. Kachru, R. Kallosh, A.D. Linde, J.M. Maldacena, L.P. McAllister and S.P. Trivedi, 2003 Towards inflation in string theory J. Cosmol. Astropart. Phys. JCAP10(2003)013 [hep-th/0308055]
8. D. Baumann, A. Dymarsky, S. Kachru, I.R. Klebanov and L. McAllister, 2009 Holographic Systematics of D-brane Inflation J. High Energy Phys. JHEP03(2009)093 [0808.2811]
9. N. Agarwal, R. Bean, L. McAllister and G. Xu, 2011 Universality in D-brane Inflation J. Cosmol. Astropart. Phys. JCAP09(2011)002 [1103.2775]
10. S. Panda, M. Sami and S. Tsujikawa, 2007 Prospects of inflation in delicate D-brane cosmology, Phys. Rev. D 76 103512 [0707.2848]
11. D.A. Easson, R. Gregory, D.F. Mota, G. Tasinato and I. Zavala, 2008 Spinflation J. Cosmol. Astropart. Phys. JCAP02(2008)010 [0709.2666]
12. 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]
13. 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]
14. H.-Y. Chen, J.-O. Gong and G. Shiu, 2008 Systematics of multi-field effects at the end of warped brane inflation J. High Energy Phys. JHEP09(2008)011 [0807.1927]
15. X. Gao and B. Hu, 2009 Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model J. Cosmol. Astropart. Phys. JCAP08(2009)012 [0903.1920]
16. D. Langlois, S. Renaux-Petel and D.A. Steer, 2009 Multi-field DBI inflation: Introducing bulk forms and revisiting the gravitational wave constraints J. Cosmol. Astropart. Phys. JCAP04(2009)021 [0902.2941]
17. S. Mizuno, F. Arroja, K. Koyama and T. Tanaka, 2009 Lorentz boost and non-Gaussianity in multi-field DBI-inflation, Phys. Rev. D 80 023530 [0905.4557]
18. S. Renaux-Petel, 2009 Combined local and equilateral non-Gaussianities from multifield DBI inflation J. Cosmol. Astropart. Phys. JCAP10(2009)012 [0907.2476]
19. S. Mizuno, F. Arroja and K. Koyama, 2009 On the full trispectrum in multi-field DBI inflation, Phys. Rev. D 80 083517 [0907.2439]
20. H.-Y. Chen, J.-O. Gong, K. Koyama and G. Tasinato, 2010 Towards multi-field D-brane inflation in a warped throat J. Cosmol. Astropart. Phys. JCAP11(2010)034 [1007.2068]
21. R. Gregory and D. Kaviani, 2012 Spinflation with Angular Potentials J. High Energy Phys. JHEP01(2012)037 [1107.5522]
22. 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]
23. D. Baumann, A. Dymarsky, I.R. Klebanov, L. McAllister and P.J. Steinhardt, 2007 A delicate universe, Phys. Rev. Lett. 99 141601 [0705.3837] (Pubitemid 47519550)
24. A. Krause and E. Pajer, 2008 Chasing brane inflation in string-theory J. Cosmol. Astropart. Phys. JCAP07(2008)023 [0705.4682]
25. D. Baumann, A. Dymarsky, I.R. Klebanov and L. McAllister, 2008 Towards an Explicit Model of D-brane Inflation J. Cosmol. Astropart. Phys. JCAP01(2008)024 [0706.0360]
26. S. Groot Nibbelink and B. van Tent, 2002 Scalar perturbations during multiple field slow-roll inflation, Class. Quant. Grav. 19 613 [hep-ph/0107272] (Pubitemid 37035368)
27. D. Langlois and S. Renaux-Petel, 2008 Perturbations in generalized multi-field inflation J. Cosmol. Astropart. Phys. JCAP04(2008)017 [0801.1085]
28. E. Silverstein and D. Tong, 2004 Scalar speed limits and cosmology: Acceleration from D-cceleration, Phys. Rev. D 70 103505 [hep-th/0310221]
29. M. Alishahiha, E. Silverstein and D. Tong, 2004 DBI in the sky, Phys. Rev. D 70 123505 [hep-th/0404084]
30. R. Bean, S.E. Shandera, S.H. Henry Tye and J. Xu, 2007 Comparing brane inflation to WMAP J. Cosmol. Astropart. Phys. JCAP05(2007)004 [hep-th/0702107]
31. P. Candelas and X.C. de la Ossa, 1990 Comments on Conifolds, Nucl. Phys. B 342 246
32. 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]
33. 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] (Pubitemid 33795996)
34. A.A. Starobinsky, 1985 Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations JETP Lett. 42 152
35. A.A. Starobinsky, 1985 Pisma Zh. Eksp. Teor. Fiz. 42 124
36. M. Sasaki and T. Tanaka, 1998 Superhorizon scale dynamics of multiscalar inflation, Prog. Theor. Phys. 99 763 [gr-qc/9801017]
37. D.H. Lyth and Y. Rodriguez, 2005 The inflationary prediction for primordial non-Gaussianity, Phys. Rev. Lett. 95 121302 [astro-ph/0504045] (Pubitemid 41505670)
38. 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] (Pubitemid 44861158)
39. G. Rigopoulos, E. Shellard and B. van Tent, 2005 A simple route to non-Gaussianity in inflation, Phys. Rev. D 72 083507 [astro-ph/0410486] (Pubitemid 43030650)
40. G. Rigopoulos, E. Shellard and B. van Tent, 2006 Non-linear perturbations in multiple-field inflation, Phys. Rev. D 73 083521 [astro-ph/0504508]
41. G. Rigopoulos, E. Shellard and B. van Tent, 2006 Large non-Gaussianity in multiple-field inflation, Phys. Rev. D 73 083522 [astro-ph/0506704]
42. G. Rigopoulos, E. Shellard and B. van Tent, 2007 Quantitative bispectra from multifield inflation, Phys. Rev. D 76 083512 [astro-ph/0511041]
43. D. Langlois and F. Vernizzi, 2007 Nonlinear perturbations of cosmological scalar fields J. Cosmol. Astropart. Phys. JCAP02(2007)017 [astro-ph/0610064]
44. S. Renaux-Petel and G. Tasinato, 2009 Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms J. Cosmol. Astropart. Phys. JCAP01(2009)012 [0810.2405]
45. J.-L. Lehners and S. Renaux-Petel, 2009 Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum, Phys. Rev. D 80 063503 [0906.0530]
46. D.J. Mulryne, D. Seery and D. Wesley, 2010 Moment transport equations for non-Gaussianity J. Cosmol. Astropart. Phys. JCAP01(2010)024 [0909.2256]
47. 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]
48. M. Dias and D. Seery, 2012 Transport equations for the inflationary spectral index, Phys. Rev. D 85 043519 [1111.6544]
49. G.J. Anderson, D.J. Mulryne and D. Seery, Transport equations for the inflationary trispectrum, [1205.0024]
50. H.-C. Lee, M. Sasaki, E.D. Stewart, T. Tanaka and S. Yokoyama, 2005 A New delta N formalism for multi-component inflation J. Cosmol. Astropart. Phys. JCAP10(2005)004 [astro-ph/0506262]
51. C.T. Byrnes and D. Wands, 2006 Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion, Phys. Rev. D 74 043529 [astro-ph/0605679] (Pubitemid 44310624)
52. Z. Lalak, D. Langlois, S. Pokorski and K. Turzynski, 2007 Curvature and isocurvature perturbations in two-field inflation J. Cosmol. Astropart. Phys. JCAP07(2007)014 [0704.0212]
53. K.-Y. Choi, L.M. Hall and C. van de Bruck, 2007 Spectral Running and Non-Gaussianity from Slow-Roll Inflation in Generalised Two-Field Models J. Cosmol. Astropart. Phys. JCAP02(2007)029 [astro-ph/0701247]
54. A. Avgoustidis, S. Cremonini, A.-C. Davis, R.H. Ribeiro, K. Turzynski and S. Watson, 2012 The Importance of Slow-roll Corrections During Multi-field Inflation J. Cosmol. Astropart. Phys. JCAP02(2012)038 [1110.4081]
55. S. Cremonini, Z. Lalak and K. Turzynski, 2011 Strongly Coupled Perturbations in Two-Field Inflationary Models J. Cosmol. Astropart. Phys. JCAP03(2011)016 [1010.3021]
56. A. Achucarro, J.-O. Gong, S. Hardeman, G.A. Palma and S.P. Patil, 2011 Features of heavy physics in the CMB power spectrum J. Cosmol. Astropart. Phys. JCAP01(2011)030 [1010.3693]
57. D. Baumann and D. Green, 2011 Equilateral Non-Gaussianity and New Physics on the Horizon J. Cosmol. Astropart. Phys. JCAP09(2011)014 [1102.5343]
58. G. Shiu and J. Xu, 2011 Effective Field Theory and Decoupling in Multi-field Inflation: An Illustrative Case Study, Phys. Rev. D 84 103509 [1108.0981]
59. S. Cespedes, V. Atal and G.A. Palma, 2012 On the importance of heavy fields during inflation J. Cosmol. Astropart. Phys. JCAP05(2012)008 [1201.4848]
60. A. Avgoustidis, S. Cremonini, A.-C. Davis, R.H. Ribeiro, K. Turzynski and S. Watson, 2012 Decoupling Survives Inflation: A Critical Look at Effective Field Theory Violations During Inflation J. Cosmol. Astropart. Phys. JCAP06(2012)025 [1203.0016]
61. A. Achucarro, V. Atal, S. Cespedes, J.-O. Gong, G.A. Palma and S.P. Patil, Heavy fields, reduced speeds of sound and decoupling during inflation, [1205.0710]
62. X. Gao, D. Langlois and S. Mizuno, Influence of heavy modes on perturbations in multiple field inflation, [1205.5275]
63. S. Tsujikawa, D. Parkinson and B.A. Bassett, 2003 Correlation-consistency cartography of the double inflation landscape, Phys. Rev. D 67 083516 [astro-ph/0210322]
64. C.M. Peterson and M. Tegmark, 2011 Testing Two-Field Inflation, Phys. Rev. D 83 023522 [1005.4056]
65. B.J.W. van Tent, Cosmological Inflation with Multiple Fields and the Theory of Density Fluctuations, Ph.D. thesis, Utrecht University, 2002
66. S. Weinberg, 2008 Cosmology, Oxford University Press, Oxford U.K.
67. D. Salopek, J. Bond and J.M. Bardeen, 1989 Designing Density Fluctuation Spectra in Inflation, Phys. Rev. D 40 1753
68. I. Huston and A.J. Christopherson, 2012 Calculating Non-adiabatic Pressure Perturbations during Multi-field Inflation, Phys. Rev. D 85 063507 [1111.6919]
69. D. Marsh, L. McAllister and T. Wrase, 2012 The Wasteland of Random Supergravities J. High Energy Phys. JHEP03(2012)102 [1112.3034]
70. J. Meyers and N. Sivanandam, 2011 Non-Gaussianities in Multifield Inflation: Superhorizon Evolution, Adiabaticity and the Fate of fnl, Phys. Rev. D 83 103517 [1011.4934]
71. NL to the adiabatic limit J. Cosmol. Astropart. Phys. JCAP11(2011)005 [1106.2153]
72. J. Meyers and N. Sivanandam, 2011 Adiabaticity and the Fate of Non-Gaussianities: The Trispectrum and Beyond, Phys. Rev. D 84 063522 [1104.5238]
73. D. Seery, D.J. Mulryne, J. Frazer and R.H. Ribeiro, 2012 Inflationary perturbation theory is geometrical optics in phase space J. Cosmol. Astropart. Phys. JCAP09(2012)010 [1203.2635]
74. J. Frazer and A.R. Liddle, 2011 Exploring a string-like landscape J. Cosmol. Astropart. Phys. JCAP02(2011)026 [1101.1619]
75. C.M. Peterson and M. Tegmark, Testing Multi-Field Inflation: A Geometric Approach, [1111.0927]
76. 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]
77. N. Bartolo, S. Matarrese and A. Riotto, 2001 Adiabatic and isocurvature perturbations from inflation: Power spectra and consistency relations, Phys. Rev. D 64 123504 [astro-ph/0107502]
78. X. Chen and Y. Wang, 2010 Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation, Phys. Rev. D 81 063511 [0909.0496]
79. X. Chen and Y. Wang, 2010 Quasi-Single Field Inflation and Non-Gaussianities J. Cosmol. Astropart. Phys. JCAP04(2010)027 [0911.3380]
80. X. Chen and Y. Wang, 2012 Quasi-Single Field Inflation with Large Mass J. Cosmol. Astropart. Phys. JCAP09(2012)021 [1205.0160]
81. S. Pi, M. Sasaki and M. Sasaki, Curvature Perturbation Spectrum in Two-field Inflation with a Turning Trajectory, [1205.0161]