On the unlikeliness of multi-field inflation: Bounded random potentials and our vacuum

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 6, 2012, Pages

  Battefeld, Diana ^a   Battefeld, Thorsten ^a   Schulz, Sebastian ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

ination; initial conditions and eternal universe; string theory and cosmology

Indexed keywords

EID: 84863425560     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/06/034     Document Type: Article

References (128)

1. S.-H. Henry Tye, 2008 Brane inflation: string theory viewed from the cosmos Lect. Notes Phys. 737 949 [hep-th/0610221]
2. J.M. Cline, String cosmology, [hep-th/0612129]
3. C. Burgess, Lectures on cosmic inflation and its potential stringy realizations, PoS(P2GC)008 [0708.2865]
4. C. Burgess, 2007 Class. Quant. Grav. 24 S795
5. L. McAllister and E. Silverstein, 2008 String cosmology: a review, Gen. Rel. Grav. 40 565 [0710.2951]
6. D. Baumann and L. McAllister, 2009 Advances in inflation in string theory, Ann. Rev. Nucl. Part. Sci. 59 67 [0901.0265]
7. A. Mazumdar and J. Rocher, 2011 Particle physics models of inflation and curvaton scenarios, Phys. Rept. 497 85 [1001.0993]
8. S. Kachru et al., 2003 Towards inflation in string theory J. Cosmol. Astropart. Phys. JCAP10(2003)013 [hep-th/0308055]
9. G. Dvali and S.-H. Henry Tye, 1999 Brane inflation, Phys. Lett. B 450 72 [hep-ph/9812483]
10. S.H. Alexander, 2002 Inflation from D- brane annihilation, Phys. Rev. D 65 023507 [hep-th/0105032]
11. C. Burgess et al., 2001 The inflationary brane anti-brane universe J. High Energy Phys. JHEP07(2001)047 [hep-th/0105204]
12. G. Dvali, Q. Shafi and S. Solganik, D-brane inflation, [hep-th/0105203]
13. H. Firouzjahi and S.-H. Henry Tye, 2004 Closer towards inflation in string theory, Phys. Lett. B 584 147 [hep-th/0312020]
14. C. Burgess, J.M. Cline, H. Stoica and F. Quevedo, 2004 Inflation in realistic D-brane models J. High Energy Phys. JHEP09(2004)033 [hep-th/0403119]
15. A. Buchel and R. Roiban, 2004 Inflation in warped geometries, Phys. Lett. B 590 284 [hep-th/0311154]
16. N. Iizuka and S.P. Trivedi, 2004 An inflationary model in string theory, Phys. Rev. D 70 043519 [hep-th/0403203]
17. S. Dimopoulos, S. Kachru, J. McGreevy and J.G. Wacker, 2008 N-flation J. Cosmol. Astropart. Phys. JCAP08(2008)003 [hep-th/0507205]
18. Y.-S. Piao, R.-G. Cai, X.-m. Zhang and Y.-Z. Zhang, 2002 Assisted tachyonic inflation, Phys. Rev. D 66 121301 [hep-ph/0207143]
19. M. Majumdar and A.-C. Davis, 2004 Inflation from tachyon condensation, large-N effects, Phys. Rev. D 69 103504 [hep-th/0304226]
20. K. Becker, M. Becker and A. Krause, 2005 M-theory inflation from multi M5-brane dynamics, Nucl. Phys. B 715 349 [hep-th/0501130]
21. A. Ashoorioon and A. Krause, Power spectrum and signatures for cascade inflation, [hep-th/0607001]
22. A. Ashoorioon, A. Krause and K. Turzynski, 2009 Energy transfer in multi field inflation and cosmological perturbations J. Cosmol. Astropart. Phys. JCAP02(2009)014 [0810.4660]
23. J.M. Cline and H. Stoica, 2005 Multibrane inflation and dynamical flattening of the inflaton potential, Phys. Rev. D 72 126004 [hep-th/0508029]
24. A. Ashoorioon, H. Firouzjahi and M. Sheikh-Jabbari, 2009 M-flation: inflation from matrix valued scalar fields J. Cosmol. Astropart. Phys. JCAP06(2009)018 [0903.1481]
25. A. Ashoorioon, H. Firouzjahi and M.M. Sheikh-Jabbari, 2010 Matrix inflation and the landscape of its potential J. Cosmol. Astropart. Phys. JCAP05(2010)002 [0911.4284]
26. D. Battefeld, T. Battefeld, H. Firouzjahi and N. Khosravi, 2010 Brane annihilations during inflation J. Cosmol. Astropart. Phys. JCAP07(2010)009 [1004.1417]
27. H. Firouzjahi and S. Khoeini-Moghaddam, 2011 Fields annihilation and particles creation in DBI inflation J. Cosmol. Astropart. Phys. JCAP02(2011)012 [1011.4500]
28. S.-H. Henry Tye and J. Xu, 2010 A meandering inflaton, Phys. Lett. B 683 326 [0910.0849]
29. S.-H. Henry Tye, J. Xu and Y. Zhang, 2009 Multi-field inflation with a random potential J. Cosmol. Astropart. Phys. JCAP04(2009)018 [0812.1944]
30. D. Battefeld, T. Battefeld and A.-C. Davis, 2008 Staggered multi-field inflation J. Cosmol. Astropart. Phys. JCAP10(2008)032 [0806.1953]
31. D. Battefeld and T. Battefeld, 2009 Multi-field inflation on the landscape J. Cosmol. Astropart. Phys. JCAP03(2009)027 [0812.0367]
32. M.J. Mortonson, H.V. Peiris and R. Easther, 2011 Bayesian analysis of inflation: parameter estimation for single field models, Phys. Rev. D 83 043505 [1007.4205]
33. R. Easther and H. Peiris, 2012 Bayesian analysis of inflation II: model selection and constraints on reheating, Phys. Rev. D 85 103533 [1112.0326]
34. J. Norena, C. Wagner, L. Verde, H.V. Peiris and R. Easther, Bayesian analysis of inflation III: slow roll reconstruction using model selection, [1202.0304]
35. J. Martin, C. Ringeval and R. Trotta, 2011 Hunting down the best model of inflation with Bayesian evidence, Phys. Rev. D 83 063524 [1009.4157]
36. NL, [1201.0926]
37. D.A. Easson and B.A. Powell, 2011 Optimizing future experimental probes of inflation, Phys. Rev. D 83 043502 [1011.0434]
38. D.A. Easson and B.A. Powell, 2011 Identifying the inflaton with primordial gravitational waves, Phys. Rev. Lett. 106 191302 [1009.3741]
39. 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]
40. T. Battefeld and R. Easther, 2007 Non-Gaussianities in multi-field inflation J. Cosmol. Astropart. Phys. JCAP03(2007)020 [astro-ph/0610296]
41. D. Battefeld and T. Battefeld, 2007 Non-Gaussianities in N-flation J. Cosmol. Astropart. Phys. JCAP05(2007)012 [hep-th/0703012]
42. D. Battefeld and T. Battefeld, 2009 On non-Gaussianities in multi-field inflation (N fields): bi and tri-spectra beyond slow-roll J. Cosmol. Astropart. Phys. JCAP11(2009)010 [0908.4269]
43. NL to the adiabatic limit J. Cosmol. Astropart. Phys. JCAP11(2011)005 [1106.2153]
44. L. Susskind, The anthropic landscape of string theory, [hep-th/0302219]
45. F. Denef and M.R. Douglas, 2005 Distributions of nonsupersymmetric flux vacua J. High Energy Phys. JHEP03(2005)061 [hep-th/0411183]
46. D. Marsh, L. McAllister and T. Wrase, 2012 The wasteland of random supergravities J. High Energy Phys. JHEP03(2012)102 [1112.3034]
47. X. Chen, G. Shiu, Y. Sumitomo and S.-H. Henry Tye, 2012 A global view on the search for de Sitter vacua in (type IIA) string theory J. High Energy Phys. JHEP04(2012)026 [1112.3338]
48. M.L. Mehta, 1991 Random matrices, Academic Press, Boston U.S.A.
49. A. Edelman and N.R. Rao, 2005 Random matrix theory, Acta Numer. 14 233
50. P. Deift, Universality for mathematical and physical systems, [math-ph/0603038]
51. A.B.J. Kuijlaars, 2011 Universality, in Oxford handbook of random matrix theory, chapter 6, G. Akemann, J. Baik and P. Di Francesco eds., Oxford University Press, Oxford U.K. [1103.5922]
52. Z.D. Bai, 1999 Methodologies in spectral analysis of large dimensional random matrices, a review, http://www3.stat.sinica.edu.tw/statistica/j9n3/j9n31/ j9n31.htm Statist. Sinica 9 611
53. A. Soshnikov, 2002 A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices, J. Statist. Phys. 108 1033 [math.PR/0104113]
54. J.H. Schenker and H. Schulz-Baldes, 2005 Semicircle law and freeness for random matrices with symmetries or correlations, http://www.mathjournals.org/ mrl/2005-012-004/2005-012-004-007.html Math. Res. Lett. 12 531 [math-ph/0505003]
55. A.R. Brown and A. Dahlen, 2011 Populating the whole landscape, Phys. Rev. Lett. 107 171301 [1108.0119]
56. S. Weinberg, 1987 Anthropic bound on the cosmological constant, Phys. Rev. Lett. 59 2607
57. R. Bousso and S. Leichenauer, 2009 Star formation in the multiverse, Phys. Rev. D 79 063506 [0810.3044]
58. K.D. Olum, Is there any coherent measure for eternal inflation?, [1202.3376]
59. M. Tegmark, 2005 What does inflation really predict? J. Cosmol. Astropart. Phys. JCAP04(2005)001 [astro-ph/0410281]
60. J. Frazer and A.R. Liddle, 2011 Exploring a string-like landscape J. Cosmol. Astropart. Phys. JCAP02(2011)026 [1101.1619]
61. J. Frazer and A.R. Liddle, 2012 Multi-field inflation with random potentials: field dimension, feature scale and non-Gaussianity J. Cosmol. Astropart. Phys. JCAP02(2012)039 [1111.6646]
62. A. Aazami and R. Easther, 2006 Cosmology from random multifield potentials J. Cosmol. Astropart. Phys. JCAP03(2006)013 [hep-th/0512050]
63. B. Freivogel, M. Kleban, M. Rodriguez Martinez and L. Susskind, 2006 Observational consequences of a landscape J. High Energy Phys. JHEP03(2006)039 [hep-th/0505232]
64. N. Agarwal, R. Bean, L. McAllister and G. Xu, 2011 Universality in D-brane inflation J. Cosmol. Astropart. Phys. JCAP09(2011)002 [1103.2775]
65. C.A. Tracy and H. Widom, 1994 Level spacing distributions and the Airy kernel, Commun. Math. Phys. 159 151 [hep-th/9211141]
66. P.J. Forrester, 1993 The spectrum edge of random matrix ensembles, Nucl. Phys. B 402 709
67. K. Johansson, 2000 Shape fluctuations and random matrices, Comm. Math. Phys. 209 437 [math.CO/9903134]
68. I.M. Johnstone, 2001 On the distribution of the largest eigenvalue in principal components analysis, http://www.jstor.org/stable/2674106 Ann. Statist. 29 295
69. D.S. Dean and S.N. Majumdar, 2006 Large deviations of extreme eigenvalues of random matrices, Phys. Rev. Lett. 97 160201 [cond-mat/0609651]
70. P. Vivo, S.N. Majumdar and O. Bohigas, 2007 Large deviations of the maximum eigenvalue in Wishart random matrices, J. Phys. A 40 4317 [cond-mat/0701371]
71. D.S. Dean and S.N. Majumdar, 2008 Extreme value statistics of eigenvalues of Gaussian random matrices, Phys. Rev. E 77 041108 [0801.1730]
72. S.N. Majumdar and M. Vergassola, 2009 Large deviations of the maximum eigenvalue for Wishart and Gaussian random matrices, Phys. Rev. Lett. 102 060601 [0811.2290]
73. S.N. Majumdar, C. Nadal, A. Scardicchio and P. Vivo, 2009 Index distribution of Gaussian random matrices, Phys. Rev. Lett. 103 220603 [0910.0775]
74. C. Nadal and S.N. Majumdar, 2011 A simple derivation of the Tracy-Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix J. Stat. Mech. P04001 [1102.0738]
75. F.J. Dyson, 1962 Statistical theory of the energy levels of complex systems. I, J. Math. Phys. 3 140
76. F.J. Dyson, 1962 A Brownian motion model for the eigenvalues of a random matrix, J. Math. Phys. 3 1191
77. K. Freese and D. Spolyar, 2005 Chain inflation: 'Bubble bubble toil and trouble' J. Cosmol. Astropart. Phys. JCAP07(2005)007 [hep-ph/0412145]
78. K. Freese, J.T. Liu and D. Spolyar, Chain inflation via rapid tunneling in the landscape, [hep-th/0612056]
79. J.M. Cline, G.D. Moore and Y. Wang, 2011 Chain inflation reconsidered J. Cosmol. Astropart. Phys. JCAP08(2011)032 [1106.2188]
80. S. Schulz, Multi-field inflation with random potentials, Bachelor thesis, Inst. for Astrophysik, Univ. of Goettingen, Goettingen Germany August 1 2011
81. R. Easther, Folded inflation, primordial tensors and the running of the scalar spectral index, [hep-th/0407042]
82. A. Vilenkin and S. Winitzki, 1997 Probability distribution for omega in open universe inflation, Phys. Rev. D 55 548 [astro-ph/9605191]
83. J. Garriga, T. Tanaka and A. Vilenkin, 1999 The density parameter and the anthropic principle, Phys. Rev. D 60 023501 [astro-ph/9803268]
84. A. Achucarro, 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]
85. M.G. Jackson and K. Schalm, 2012 Model independent signatures of new physics in the inflationary power spectrum, Phys. Rev. Lett. 108 111301 [1007.0185]
86. M.G. Jackson and K. Schalm, Model-independent signatures of new physics in slow-roll inflation, [1104.0887]
87. M.G. Jackson and K. Schalm, Model-independent signatures of new physics in non-Gaussianity, [1202.0604]
88. X. Chen, 2011 Fingerprints of primordial universe paradigms as features in density perturbations, Phys. Lett. B 706 111 [1106.1635]
89. X. Chen and Y. Wang, 2010 Quasi-single field inflation and non-Gaussianities J. Cosmol. Astropart. Phys. JCAP04(2010)027 [0911.3380]
90. X. Chen, 2012 Primordial features as evidence for inflation J. Cosmol. Astropart. Phys. JCAP01(2012)038 [1104.1323]
91. 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]
92. 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]
93. A. Achucarro, J.-O. Gong, S. Hardeman, G.A. Palma and S.P. Patil, 2011 Mass hierarchies and non-decoupling in multi-scalar field dynamics, Phys. Rev. D 84 043502 [1005.3848]
94. 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]
95. S. Weinberg, 2008 Effective field theory for inflation, Phys. Rev. D 77 123541 [0804.4291]
96. C. Burgess, J.M. Cline and R. Holman, 2003 Effective field theories and inflation J. Cosmol. Astropart. Phys. JCAP10(2003)004 [hep-th/0306079]
97. L. Senatore and M. Zaldarriaga, 2010 On loops in inflation J. High Energy Phys. JHEP12(2010)008 [0912.2734]
98. C. Cheung, A.L. Fitzpatrick, J. Kaplan and L. Senatore, 2008 On the consistency relation of the 3-point function in single field inflation J. Cosmol. Astropart. Phys. JCAP02(2008)021 [0709.0295]
99. 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]
100. L. Senatore and M. Zaldarriaga, 2011 A naturally large four-point function in single field inflation J. Cosmol. Astropart. Phys. JCAP01(2011)003 [1004.1201]
101. 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]
102. N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, 2010 Large non-Gaussianities in the effective field theory approach to single-field inflation: the trispectrum J. Cosmol. Astropart. Phys. JCAP09(2010)035 [1006.5411]
103. A. Avgoustidis et al., Decoupling survives inflation: a critical look at effective field theory violations during inflation, [1203.0016]
104. Q.-G. Huang and S.-H. Henry Tye, 2009 The cosmological constant problem and inflation in the string landscape, Int. J. Mod. Phys. A 24 1925 [0803.0663]
105. S.-H. Henry Tye and D. Wohns, Resonant tunneling in scalar quantum field theory, [0910.1088]
106. A.R. Brown and A. Dahlen, 2010 Small steps and giant leaps in the landscape, Phys. Rev. D 82 083519 [1004.3994]
107. A.R. Brown and A. Dahlen, 2011 Bubbles of nothing and the fastest decay in the landscape, Phys. Rev. D 84 043518 [1010.5240]
108. A.R. Brown and A. Dahlen, 2011 Giant leaps and minimal branes in multi-dimensional flux landscapes, Phys. Rev. D 84 023513 [1010.5241]
109. A.R. Liddle, A. Mazumdar and F.E. Schunck, 1998 Assisted inflation, Phys. Rev. D 58 061301 [astro-ph/9804177]
110. P. Kanti and K.A. Olive, 1999 On the realization of assisted inflation, Phys. Rev. D 60 043502 [hep-ph/9903524]
111. P. Kanti and K.A. Olive, 1999 Assisted chaotic inflation in higher dimensional theories, Phys. Lett. B 464 192 [hep-ph/9906331]
112. K.A. Malik and D. Wands, 1999 Dynamics of assisted inflation, Phys. Rev. D 59 123501 [astro-ph/9812204]
113. J. Polchinski, The cosmological constant and the string landscape, [hep-th/0603249]
114. R. Bousso, The cosmological constant problem, dark energy and the landscape of string theory, [1203.0307]
115. S.R. Coleman and F. De Luccia, 1980 Gravitational effects on and of vacuum decay, Phys. Rev. D 21 3305
116. J. Gott, 1982 Creation of open universes from de Sitter space, Nature 295 304
117. B. Ratra and P. Peebles, 1994 CDM cosmogony in an open universe, Astrophys. J. 432 L5
118. J.S. Schiffrin and R.M. Wald, Measure and probability in cosmology, [1202.1818]
119. A. Borde, A.H. Guth and A. Vilenkin, 2003 Inflationary space-times are incompletein past directions, Phys. Rev. Lett. 90 151301 [gr-qc/0110012]
120. A. De Simone, A.H. Guth, M.P. Salem and A. Vilenkin, 2008 Predicting the cosmological constant with the scale-factor cutoff measure, Phys. Rev. D 78 063520 [0805.2173]
121. A. De Simone et al., 2010 Boltzmann brains and the scale-factor cutoff measure of the multiverse, Phys. Rev. D 82 063520 [0808.3778]
122. A.H. Guth and V. Vanchurin, Eternal inflation, global time cutoff measures and a probability paradox, [1108.0665]
123. R. Bousso, B. Freivogel and I.-S. Yang, 2006 Eternal inflation: the inside story, Phys. Rev. D 74 103516 [hep-th/0606114]
124. B. Freivogel, 2011 Making predictions in the multiverse, Class. Quant. Grav. 28 204007 [1105.0244]
125. R. Bousso, B. Freivogel, S. Leichenauer and V. Rosenhaus, 2011 Eternal inflation predicts that time will end, Phys. Rev. D 83 023525 [1009.4698]
126. R. Bousso, 2006 Holographic probabilities in eternal inflation, Phys. Rev. Lett. 97 191302 [hep-th/0605263]
127. R. Bousso, R. Harnik, G.D. Kribs and G. Perez, 2007 Predicting the cosmological constant from the causal entropic principle, Phys. Rev. D 76 043513 [hep-th/0702115]
128. R. Bousso, B. Freivogel, S. Leichenauer and V. Rosenhaus, 2011 A geometric solution to the coincidence problem and the size of the landscape as the origin of hierarchy, Phys. Rev. Lett. 106 101301 [1011.0714]