A smooth landscape: Ending saddle point inflation requires features to be shallow

Journal of Cosmology and Astroparticle Physics

Volumn 2013, Issue 7, 2013, Pages

  Battefeld, Diana ^a   Battefeld, Thorsten ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Inflation; Initial conditions and eternal universe; Non gaussianity; String theory and cosmology

Indexed keywords

EID: 84880648515     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2013/07/038     Document Type: Article

References (94)

1. R. Bousso and J. Polchinski, Quantization of four form fluxes and dynamical neutralization of the cosmological constant, JHEP 06 (2000) 006 [hep-th/0004134].
2. L. Susskind, The anthropic landscape of string theory, hep-th/0302219.
3. M. R. Douglas and S. Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733 [hep-th/0610102].
4. K. Copsey, The instability of orientifolds and the end of the (string) landscape as we know it, arXiv:1303.4791.
5. S. Weinberg, Anthropic bound on the cosmological constant, Phys. Rev. Lett. 59 (1987) 2607.
6. R. Bousso and S. Leichenauer, Star formation in the multiverse, Phys. Rev. D 79 (2009) 063506 [arXiv:0810.3044].
7. A. R. Brown and A. Dahlen, Populating the whole landscape, Phys. Rev. Lett. 107 (2011) 171301 [arXiv:1108.0119].
8. K. D. Olum, Is there any coherent measure for eternal inflation?, Phys. Rev. D 86 (2012) 063509 [arXiv:1202.3376].
9. J. S. Schiffrin and R. M. Wald, Measure and probability in cosmology, Phys. Rev. D 86 (2012) 023521 [arXiv:1202.1818].
10. B. Freivogel, Making predictions in the multiverse, Class. Quant. Grav. 28 (2011) 204007 [arXiv:1105.0244].
11. S.-H. H. Tye, A renormalization group approach to the cosmological constant problem, arXiv:0708.4374.
12. S. Sarangi, G. Shiu and B. Shlaer, Rapid tunneling and percolation in the landscape, Int. J. Mod. Phys. A 24 (2009) 741 [arXiv:0708.4375].
13. D. Podolsky and K. Enqvist, Eternal inflation and localization on the landscape, JCAP 02 (2009) 007 [arXiv:0704.0144].
14. D. I. Podolsky, J. Majumder and N. Jokela, Disorder on the landscape, JCAP 05 (2008) 024 [arXiv:0804.2263].
15. A. R. Brown and A. Dahlen, Small steps and giant leaps in the landscape, Phys. Rev. D 82 (2010) 083519 [arXiv:1004.3994].
16. A. R. Brown and A. Dahlen, Giant leaps and minimal branes in multi-dimensional flux landscapes, Phys. Rev. D 84 (2011) 023513 [arXiv:1010.5241].
17. A. R. Brown and A. Dahlen, Bubbles of nothing and the fastest decay in the landscape, Phys. Rev. D 84 (2011) 043518 [arXiv:1010.5240].
18. B. Greene, E. J. Weinberg and X. Xiao, Tumbling through a landscape: evidence of instabilities in high-dimensional moduli spaces, arXiv:1303.4428.
19. D. Battefeld, T. Battefeld and S. Schulz, On the unlikeliness of multi-field inflation: bounded random potentials and our vacuum, JCAP 06 (2012) 034 [arXiv:1203.3941].
20. G. D'Amico, M. Kleban and M. Schillo, Unwinding inflation, JCAP 03 (2013) 004 [arXiv:1211.4589].
21. S. R. Coleman and F. De Luccia, Gravitational effects on and of vacuum decay, Phys. Rev. D 21 (1980) 3305.
22. M. Bucher, A. S. Goldhaber and N. Turok, An open universe from inflation, Phys. Rev. D 52 (1995) 3314 [hep-ph/9411206].
23. K. Yamamoto, M. Sasaki and T. Tanaka, Large angle CMB anisotropy in an open universe in the one bubble inflationary scenario, Astrophys. J. 455 (1995) 412 [astro-ph/9501109].
24. A. D. Linde, Inflation with variable Omega, Phys. Lett. B 351 (1995) 99 [hep-th/9503097].
25. A. D. Linde and A. Mezhlumian, Inflation with Omega not = 1, Phys. Rev. D 52 (1995) 6789 [astro-ph/9506017].
26. J. Garćia-Bellido, J. Garriga and X. Montes, Quasiopen inflation, Phys. Rev. D 57 (1998) 4669 [hep-ph/9711214].
27. K. Sugimura, D. Yamauchi and M. Sasaki, Multi-field open inflation model and multi-field dynamics in tunneling, JCAP 01 (2012) 027 [arXiv:1110.4773].
28. T. Battefeld, J. C. Niemeyer and D. Vlaykov, Probing two-field open inflation by resonant signals in correlation functions, JCAP 05 (2013) 006 [arXiv:1302.3877].
29. A. Vilenkin and S. Winitzki, Probability distribution for omega in open universe inflation, Phys. Rev. D 55 (1997) 548 [astro-ph/9605191].
30. J. Garriga, T. Tanaka and A. Vilenkin, The density parameter and the anthropic principle, Phys. Rev. D 60 (1999) 023501 [astro-ph/9803268].
31. B. Freivogel, M. Rodriguez Martinez and L. Susskind, Observational consequences of a landscape, JHEP 03 (2006) 039 [hep-th/0505232].
32. A. H. Guth and Y. Nomura, What can the observation of nonzero curvature tell us?, Phys. Rev. D 86 (2012) 023534 [arXiv:1203.6876].
33. F. Denef and M. R. Douglas, Distributions of nonsupersymmetric flux vacua, JHEP 03 (2005) 061 [hep-th/0411183].
34. D. Marsh, L. McAllister and T. Wrase, The wasteland of random supergravities, JHEP 03 (2012) 102 [arXiv:1112.3034].
35. X. Chen, Y. Sumitomo and S. H. Tye, A global view on the search for de-Sitter vacua in (type IIA) string theory, JHEP 04 (2012) 026 [arXiv:1112.3338].
36. T. C. Bachlechner, L. McAllister and T. Wrase, Supersymmetric vacua in random supergravity, JHEP 01 (2013) 136 [arXiv:1207.2763].
37. S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055].
38. G. Dvali and S. H. Tye, Brane inflation, Phys. Lett. B 450 (1999) 72 [hep-ph/9812483].
39. S. H. Alexander, Inflation from D-D̄-brane annihilation, Phys. Rev. D 65 (2002) 023507 [hep-th/0105032].
40. C. Burgess et al., The inflationary brane anti-brane universe, JHEP 07 (2001) 047 [hep-th/0105204].
41. G. Dvali, Q. Shafi and S. Solganik, D-brane inflation, hep-th/0105203.
42. H. Firouzjahi and S. H. Tye, Closer towards inflation in string theory, Phys. Lett. B 584 (2004) 147 [hep-th/0312020].
43. C. Burgess, H. Stoica and F. Quevedo, Inflation in realistic D-brane models, JHEP 09 (2004) 033 [hep-th/0403119].
44. A. Buchel and R. Roiban, Inflation in warped geometries, Phys. Lett. B 590 (2004) 284 [hep-th/0311154].
45. N. Iizuka and S. P. Trivedi, An inflationary model in string theory, Phys. Rev. D 70 (2004) 043519 [hep-th/0403203].
46. N. Agarwal, L. McAllister and G. Xu, Universality in D-brane inflation, JCAP 09 (2011) 002 [arXiv:1103.2775].
47. T. Battefeld and R. Easther, Non-Gaussianities in multi-field inflation, JCAP 03 (2007) 020 [astro-ph/0610296].
48. L. McAllister, S. Renaux-Petel and G. Xu, A statistical approach to multifield inflation: many-field perturbations beyond slow roll, JCAP 10 (2012) 046 [arXiv:1207.0317].
49. M. Dias, J. Frazer and A. R. Liddle, Multifield consequences for D-brane inflation, JCAP 06 (2012) 020
50. [Erratum JCAP 1303 (2013) E01] [arXiv:1203.3792].
51. A. D. Linde and A. Westphal, Accidental inflation in string theory, JCAP 03 (2008) 005 [arXiv:0712.1610].
52. J. J. Blanco-Pillado, M. Gomez-Reino and K. Metallinos, Accidental inflation in the landscape, JCAP 02 (2013) 034 [arXiv:1209.0796].
53. Y. Sumitomo and S.-H. H. Tye, Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model, Phys. Lett. B 723 (2013) 406 [arXiv:1211.6858].
54. Y. Sumitomo and S. H. Tye, A stringy mechanism for a small cosmological constant - multi-moduli cases, JCAP 02 (2013) 006 [arXiv:1209.5086].
55. J. Frazer and A. R. Liddle, Exploring a string-like landscape, JCAP 02 (2011) 026 [arXiv:1101.1619].
56. J. Frazer and A. R. Liddle, Multi-field inflation with random potentials: field dimension, feature scale and non-Gaussianity, JCAP 02 (2012) 039 [arXiv:1111.6646].
57. F. G. Pedro and A. Westphal, The scale of inflation in the landscape, arXiv:1303.3224.
58. I.-S. Yang, Probability of slowroll inflation in the multiverse, Phys. Rev. D 86 (2012) 103537 [arXiv:1208.3821].
59. A. Aazami and R. Easther, Cosmology from random multifield potentials, JCAP 03 (2006) 013 [hep-th/0512050].
60. R. Easther, Folded inflation, primordial tensors and the running of the scalar spectral index, hep-th/0407042.
61. Q.-G. Huang, A geometric description of the non-Gaussianity generated at the end of multi-field inflation, JCAP 06 (2009) 035 [arXiv:0904.2649].
62. D. Battefeld and T. Battefeld, On non-Gaussianities in multi-field inflation (N fields): bi and tri-spectra beyond slow-roll, JCAP 11 (2009) 010 [arXiv:0908.4269].
63. NL to the adiabatic limit, JCAP 11 (2011) 005 [arXiv:1106.2153].
64. A. Achucarro, G. A. Palma and S. P. Patil, Correlating features in the primordial spectra, arXiv:1211.5619.
65. A. Achucarro et al., Heavy fields, reduced speeds of sound and decoupling during inflation, Phys. Rev. D 86 (2012) 121301 [arXiv:1205.0710].
66. A. Achucarro, G. A. Palma and S. P. Patil, Effective theories of single field inflation when heavy fields matter, JHEP 05 (2012) 066 [arXiv:1201.6342].
67. S. Cespedes, V. Atal and G. A. Palma, On the importance of heavy fields during inflation, JCAP 05 (2012) 008 [arXiv:1201.4848].
68. A. Achucarro, G. A. Palma and S. P. Patil, Features of heavy physics in the CMB power spectrum, JCAP 01 (2011) 030 [arXiv:1010.3693].
69. A. Achucarro, G. A. Palma and S. P. Patil, Mass hierarchies and non-decoupling in multi-scalar field dynamics, Phys. Rev. D 84 (2011) 043502 [arXiv:1005.3848].
70. S. Cespedes and G. A. Palma, Cosmic inflation in a landscape of heavy-fields, arXiv:1303.4703.
71. G. Leung, C. T. Byrnes and E. J. Copeland, Influence of reheating on the trispectrum and its scale dependence, arXiv:1303.4678.
72. PLANCK collaboration, P. Ade et al., Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity, arXiv:1303.5084.
73. S. Hotchkiss, A. Mazumdar and S. Nadathur, Inflection point inflation: WMAP constraints and a solution to the fine-tuning problem, JCAP 06 (2011) 002 [arXiv:1101.6046].
74. A. A. Starobinsky, Multicomponent de Sitter (Inflationary) Stages and the Generation of Perturbations, JETP Lett. 42 (1985) 152
75. [Pisma Zh. Eksp. Teor. Fiz. 42 (1985) 124].
76. M. Sasaki and E. D. Stewart, A general analytic formula for the spectral index of the density perturbations produced during inflation, Prog. Theor. Phys. 95 (1996) 71 [astro-ph/9507001].
77. G. Rigopoulos and E. Shellard, The separate universe approach and the evolution of nonlinear superhorizon cosmological perturbations, Phys. Rev. D 68 (2003) 123518 [astro-ph/0306620].
78. D. H. Lyth, K. A. Malik and M. Sasaki, A general proof of the conservation of the curvature perturbation, JCAP 05 (2005) 004 [astro-ph/0411220].
79. D. H. Lyth and Y. Rodriguez, The inflationary prediction for primordial non-Gaussianity, Phys. Rev. Lett. 95 (2005) 121302 [astro-ph/0504045].
80. M. Tegmark, What does inflation really predict?, JCAP 04 (2005) 001 [astro-ph/0410281].
81. F. Dyson, Statistical theory of the energy levels of complex systems. I, J. Math. Phys. 3 (1962) 140.
82. F. J. Dyson, A Brownian motion model for the eigenvalues of a random matrix, J. Math. Phys. 3 (1962) 1191.
83. WMAP collaboration, C. Bennett et al., Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results, arXiv:1212.5225.
84. WMAP collaboration, G. Hinshaw et al., Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results, arXiv:1212.5226.
85. PLANCK collaboration, P. Ade et al., Planck 2013 results. XVI. Cosmological parameters, arXiv:1303.5076.
86. 3-type in the mass function and bias of dark matter haloes, Phys. Rev. D 81 (2010) 023006 [arXiv:0907.2257].
87. NL from the analysis of the N-pdf of the CMB large scale anisotropies, Mon. Not. Roy. Astron. Soc. 404 (2010) 895 [arXiv:0910.3196].
88. NL) With WMAP 5-Year Data, arXiv:1001.5026.
89. NL) and a New Consistency Test of Single-Field Inflation, Phys. Rev. D 81 (2010) 123007 [arXiv:1004.1409].
90. B. A. Bassett, S. Tsujikawa and D. Wands, Inflation dynamics and reheating, Rev. Mod. Phys. 78 (2006) 537 [astro-ph/0507632].
91. T. Suyama, M. Yamaguchi and S. Yokoyama, On classification of models of large local-type non-Gaussianity, JCAP 12 (2010) 030 [arXiv:1009.1979].
92. J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models, JHEP 05 (2003) 013 [astro-ph/0210603].
93. D. Battefeld, C. Byrnes and D. Langlois, Beauty is distractive: particle production during multifield inflation, JCAP 08 (2011) 025 [arXiv:1106.1891].
94. T. Suyama and M. Yamaguchi, Non-Gaussianity in the modulated reheating scenario, Phys. Rev. D 77 (2008) 023505 [arXiv:0709.2545].