CoChat
Sign Up
Cited by 2,064Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesDark Matter and Cosmic Phenomena

Particle physics models of inflation and the cosmological density perturbation

Open access
Lyth, David H., Riotto, Antonio·1999·Physics Reports
DOI 10.1016/s0370-1573(98)00128-8
Open this paper in CoChat — free accountOpen PDF

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/s0370-1573(98)00128-8

Cites

4 of 4 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The argument in Ref. [1] that N in Eq. (42) is dominated by the field values at Hubble exit and hence one can neglect the dependence of N upon the field values at the final time t_c is not in general true when evaluating the perturbation ζ during inflation.

    “In Ref. [1] it is argued that N in Eq. (42) is dominated by the field values at Hubble exit and hence one can neglect the dependence of N upon the field values at the final time, t c . This is not in general true when evaluating the perturbation ζ during inflation.”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [1]

    Section 4.6 (p. 34, Eqs. 120–121) says that each integral for N is dominated by its horizon-exit endpoint and derives a result that neglects the final-field contribution. But it makes this argument under specified conditions, including that every field at horizon exit is much larger than its value at the end of inflation. It does not establish the same neglect for an arbitrary final time during inflation; the citing authors’ statement that this is not generally true is their own assessment. (LLM, conf=0.87)

    Experimental — accuracy not yet measured

  • Slow-roll models of inflation generically predict an almost scale-invariant, almost Gaussian distribution of primordial density perturbations.

    “In particular, slow-roll models of inflation generically predict an almost scale-invariant, almost Gaussian distribution of primordial density perturbations [1, 2].”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [1]

  • For multi-field inflation, the scalar spectral index at lowest order in slow-roll is given by Eq. (15).

    “For multi-field inflation, the expression for the scalar spectral index has been given, for instance, in [31, 1]. At lowest order in slow-roll one has [2]”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [1]

  • The particular combination of second derivatives that appears in the spectral index can be eliminated in favor of second derivatives of the potential using the slow-roll approximation.

    “Indeed, the particular combination of second derivatives, ˙ ϕ J N ,IJ , that appears in the spectral index (15) can be eliminated in favor of second derivatives of the potential using the slow-roll approximation to give [1]”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [1]

  • The paper's results agree with the previous discussion of non-Gaussianity in a double quadratic potential by Alabidi and Lyth [23].

    “Our results agree with a previous discussion of non-Gaussianity in a double quadratic potential by Alabidi and Lyth [23], based on an estimate of δN given in [1] using the integral (42).”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [1]

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 127

  1. [6][6] A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982) .
  2. [7][7] B. Allen, R.R. Caldwell, E.P.S. Shellard, A. Stebbins and S. Veeraraghavan, FERMILAB-PUB-97-334-A preprint.
  3. [8][8] B. Allen, R.R. Caldwell, S. Dodelson, L. Knox, E.P.S. Shellard and A. Stebbins, Phys. Rev. Lett. 79, 2624 (1997).
  4. [11][11] G.W. Anderson, A. Linde and A. Riotto, Phys. Rev. Lett. 77, 3716 (1996).
  5. [12][12] I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, hep-ph/9804398; · arXiv
  6. [14][14] N. Arkani-Hamed, S. Dimopoulos (Stanford U., Phys. Dept.), G. Dvali, Phys. Lett. B429, 263 (1998), hep-ph/9803315. · arXiv
  7. [15][15] N. Arkani-Hamed and H. Murayama, Phys. Rev. D56, 673 (1997). 140 http://arxiv.org/abs/hep-ph/9804398 http://arxiv.org/abs/hep-ph/9803315 · arXiv
  8. [16][16] N. Arkani-Hamed, M. Dine, S.P. Martin, hep-ph/9803432. · arXiv
  9. [18][18] J. Bagger et al., Phys. Rev. D55, 3188 (1997) for a review of the phenomenological signals of gauge mediation.
  10. [22][22] J. M. Bardeen, Phys Rev D 22, 1882 (1980).
  11. [24][24] J.M. Bardeen, J.R. Bond and D. Salopek, in Proceedings of the Second Canadian Con- ference on General Relativity and Relativistic Astrophysics, Toronto, Canada edited by A. Coley, C. Dyer and B. Tupper (World Scientific, Singapore, 1988).
  12. [25][25] J. M. Bardeen, J. R. Bond and G. Efstathiou, Astrophys. J. 321, 28 (1990).
  13. [26][26] T. Barreiro et al., hep-ph/9602263. · arXiv
  14. [27][27] T. Barreiro, B, de Carlos and E. J. Copeland, hep-th/9805005. · arXiv
  15. [29][29] M. Bastero-Gil and S. F. King, hep-ph/9709502. · arXiv
  16. [30][30] M. Bastero-Gil and S. F. King, hep-ph/9801451 · arXiv
  17. [31][31] M. Bastero-Gil and S. F. King, hep-ph/9806477. · arXiv
  18. [34][34] P. Binétruy and M. K. Gaillard, Phys. Rev. D 34, 3069 (1986).
  19. [39][39] P. Binétruy, C. Deffayet and P. Peter, hep-ph/9807223. · arXiv
  20. [40][40] P. Binétruy, G. Dvali and A. Riotto, in preparation. 141 http://arxiv.org/abs/hep-ph/9803432 http://arxiv.org/abs/hep-ph/9602263 http://arxiv.org/abs/hep-th/9805005 http://arxiv.org/abs/hep-ph/9709502 http://arxiv.org/abs/hep-ph/9801451 http://arxiv.org/abs/hep-ph/9806477 http://arxiv.org/abs/hep-ph/9807223 · arXiv
  21. [41][41] P. Binétruy, C. Deffayet, E. Dudas, P. Ramond, hep-th/9807079. · arXiv
  22. [42][42] R. Bousso and A. Linde, gr-qc/9803068. · arXiv
  23. [43][43] R. Brandenberger and A. Riotto, hep-ph/9801448. · arXiv
  24. [57][57] G. Cleaver, M. Cvetič, J.R. Espinosa, L. Everett and P. Langacker, hep-th/9711178. · arXiv
  25. [59][59] A. G. Cohen, D. Kaplan and A. E. Nelson, hep-th/9803132. · arXiv
  26. [62][62] L. Covi, D. H. Lyth and L. Roszkowski, hep-ph/9809310. · arXiv
  27. [63][63] L. Covi and D. H. Lyth, hep-ph/9809562. · arXiv
  28. [64][64] R. L. Davis et al., Phys. Rev. Lett. 69, 1856 (1992); ibid. 70, 1733 (1993) .
  29. [67][67] L. Dixon, V. Kaplunovsky and J. Louis, Nucl. Phys. B355, 649 (1991). 142 http://arxiv.org/abs/hep-th/9807079 http://arxiv.org/abs/gr-qc/9803068 http://arxiv.org/abs/hep-ph/9801448 http://arxiv.org/abs/hep-th/9711178 http://arxiv.org/abs/hep-th/9803132 http://arxiv.org/abs/hep-ph/9809310 http://arxiv.org/abs/hep-ph/9809562 · arXiv
  30. [68][68] N. Deruelle, K. Gundlach and D. Langlois, Phys. Rev D 45, 3301 (1992).
  31. [69][69] N. Deruelle, K. Gundlach and D. Langlois, Phys. Rev D 46, 5337 (1992).
  32. [70][70] K.R. Dienes, Phys. Rep. 287, 447 (1997).
  33. [74][74] S. Dimopoulos et al., Nucl. Phys. Proc. Suppl. A52, 38 (1997) for a review of the phenomenological signals of gauge mediation.
  34. [75][75] A useful review of these questions is given by M. Dine, hep-th/9207045. · arXiv
  35. [76][76] M. Dine, Supersymmetry phenomenology, hep-ph/9612389 and refs. therein. · arXiv
  36. [86][86] M. Dine and A. Riotto, Phys. Rev. Lett. 79, 2632 (1997) .
  37. [87][87] G. Dvali, Q. Shafi and R. Schaefer, Phys. Rev. Lett. 73, 1886 (1994) .
  38. [88][88] G. Dvali, hep-ph/9605445. · arXiv
  39. [93][93] K. Enqvist, and D. V. Nanopoulos, Nucl. Phys. B252, 508 (1985) 143 http://arxiv.org/abs/hep-th/9207045 http://arxiv.org/abs/hep-ph/9612389 http://arxiv.org/abs/hep-ph/9605445 · arXiv
  40. [95][95] J.R. Espinosa, A. Riotto and G.G. Ross, hep-ph/9804214. · arXiv
  41. [97][97] A.E. Faraggi and J.C. Pati, hep-ph/9712516. · arXiv
  42. [103][103] K. Freese, J. Frieman and A. V. Olinto Phys. Rev. Lett. 65, 3233 (1990).
  43. [106][106] M. K. Gaillard, D. H. Lyth and H. Murayama, hep-th/9806157. · arXiv
  44. [107][107] J. Garcia-Bellido, hep-th/9707059. · arXiv
  45. [110][110] J. Garcia-Bellido, A. R. Liddle, D. H. Lyth, and D. Wands, Phys. Rev. D 52, 6750 (1995).
  46. [113][113] T. Gherghetta, A. Riotto and L. Roszkowski, hep-ph/9804365. · arXiv
  47. [115][115] G.F. Giudice and A. Masiero, Phys. Lett. 206, 480 (1988).
  48. [116][116] G.F. Giudice and R. Rattazzi, hep-ph/9801271 . · arXiv
  49. [117][117] C. Giunti, C.W. Kim and U.W. Lee, Mod. Phys. Lett. 16, 1745 (1991).
  50. [119][119] S. Gottlober, V. Muller and A. A. Starobinsky, Phys. Rev D 43, 2510 (1991). 144 http://arxiv.org/abs/hep-ph/9804214 http://arxiv.org/abs/hep-ph/9712516 http://arxiv.org/abs/hep-th/9806157 http://arxiv.org/abs/hep-th/9707059 http://arxiv.org/abs/hep-ph/9804365 http://arxiv.org/abs/hep-ph/9801271 · arXiv
  51. [120][120] S. Gottlober, J. P. Mucket and A. A. Starobinskii, Astrophys. J. 434, 417 (1994).
  52. [123][123] See, for instance, the two volumes of the book Superstring Theory, M.B. Green, J.H. Schwarz and E. Witten, Cambridge Univ. Press, 1987 .
  53. [126][126] L. P. Grishchuk and Ya. B. Zel'dovich, Sov. Astron. 22, 125 (1978) .
  54. [129][129] H.E. Haber and G.L. Kane, Phys. Rept. 117, 75 (1985).
  55. [131][131] S. W. Hawking and G. F. R. Ellis, The Large-Scale Structure of Space-Time, Cam- bridge University Press (1973) .
  56. [133][133] S. W. Hawking and N. Turok, hep-th/9802030, gr-qc/9802062 and hep-th/9803156. · arXiv
  57. [136][136] H. M. Hodges, Phys. Rev. Lett. 64, 1080 (1990).
  58. [142][142] K. Intriligator and N. Seiberg, hep-th/9509066. · arXiv
  59. [144][144] N. Irges and S. Lavignac, hep-ph/9712239. · arXiv
  60. [145][145] K. Izawa and T. Yanagida, Prog. Theor. Phys. 95, 829 (1996). 145 http://arxiv.org/abs/hep-th/9802030 http://arxiv.org/abs/gr-qc/9802062 http://arxiv.org/abs/hep-th/9803156 http://arxiv.org/abs/hep-th/9509066 http://arxiv.org/abs/hep-ph/9712239 · arXiv
  61. [150][150] D.E Kaplan, F, Lepeintre, A. Masiero, A.E. Nelson, A. Riotto, hep-ph/9806430. · arXiv
  62. [152][152] M. Kawasaki et al. hep-ph/9710259. · arXiv
  63. [153][153] S.Yu. Khlebnikov and I.I. Tkachev, Phys. Rev. Lett. 77, 219 (1996).
  64. [155][155] S. Khlebnikov and I. Tkachev, Phys. Rev. Lett. 79, 1607 (1997).
  65. [158][158] S.F. King and A. Riotto, hep-ph/9806281. · arXiv
  66. [161][161] W. H. Kinney and A. Riotto, hep-ph/9704388. · arXiv
  67. [162][162] W.H. Kinney and A. Riotto, hep-ph/9802443, to appear in Phys. Lett. B. · arXiv
  68. [165][165] H. Kodama and M. Sasaki Prog Theor Phys Supp 78, 1 (1984) .
  69. [170][170] L. Kofman, G. R. Blumenthal, H. Hodges and J. R. Primack, Proceedings of the Workshop on LS Structure, Rio (1989), eds D W Latham and L N da Costa.
  70. [171][171] L. Kofman, A. D. Linde and A. A. Starobinsky, Phys. Rev. Lett. 73, 3195 (1994).
  71. [172][172] L. Kofman, A. D. Linde and A. A. Starobinsky, Phys. Rev. Lett. 76, 101 (1996). 146 http://arxiv.org/abs/hep-ph/9806430 http://arxiv.org/abs/hep-ph/9710259 http://arxiv.org/abs/hep-ph/9806281 http://arxiv.org/abs/hep-ph/9704388 http://arxiv.org/abs/hep-ph/9802443 · arXiv
  72. [173][173] L. Kofman, The origin of matter in the Universe: reheating after inflation, astro- ph/9605155, UH-IFA-96-28 preprint, 16pp., to appear in Relativistic Astrophysics: A Conference in Honor of Igor Novikov's 60th Birthday, eds. B. Jones and D. Markovic for a more recent review and a collection of refs.
  73. [176][176] E. W. Kolb and M. S. Turner, The Early Universe, Addison-Wesley (1990) .
  74. [177][177] E.W. Kolb, A.D. Linde and A. Riotto, Phys. Rev. Lett. 77, 4290 (1996).
  75. [178][178] C. Kolda and J. March-Russell, hep-ph/9802358 . · arXiv
  76. [181][181] K. Kumekawa, T. Moroi, and T. Yanagida, Prog. Theor. Phys. 92, 437 (1994).
  77. [183][183] A.B. Lahanas and D.V. Nanopoulos, Phys. Rept. 145, 1 (1987).
  78. [192][192] T. Li, hep-th/9801123. · arXiv
  79. [194][194] A. R. Liddle and D. H. Lyth, Phys. Rep. 231, 1 (1993) .
  80. [195][195] A. R. Liddle and D. H. Lyth, Cosmological Inflation and Large-Scale Structure, to be published by Cambridge University Press.
  81. [196][196] A. R. Liddle, P. Parsons and J. D. Barrow, Phys. Rev. D 50, 7222 (1994).
  82. [197][197] J. E. Lidsey et al., Rev. Mod. Phys. 69, 373 (1997). 147 http://arxiv.org/abs/astro-ph/9605155 http://arxiv.org/abs/astro-ph/9605155 http://arxiv.org/abs/hep-ph/9802358 http://arxiv.org/abs/hep-th/9801123 · arXiv
  83. [207][207] A. D. Linde, gr-qc/9802038. · arXiv
  84. [211][211] A. Lukas, B. Ovrut and D. Waldram, hep-th/9710208. · arXiv
  85. [216][216] D. H. Lyth, Phys. Rev. Lett. 78, 1861 (1997).
  86. [217][217] D.H. Lyth, hep-ph/9710347 , to appear in Phys. Lett. B. · arXiv
  87. [220][220] D. H. Lyth and E. D. Stewart, Astrophys J 361, 343 (1990).
  88. [222][222] D. H. Lyth and E. D. Stewart, Phys. Rev. Lett. 75, 201 (1995).
  89. [224][224] D. H. Lyth and E. D. Stewart, Phys. Rev. D54, 7186 (1996). 148 http://arxiv.org/abs/gr-qc/9802038 http://arxiv.org/abs/hep-th/9710208 http://arxiv.org/abs/hep-ph/9710347 · arXiv
  90. [227][227] J. March-Russell, hep-ph/9806426. · arXiv
  91. [230][230] R.N. Mohapatra, hep-ph/9801235 and refs. therein. · arXiv
  92. [232][232] V. F. Mukhanov, JETP Lett. 41, 493 (1985) .
  93. [233][233] V. F. Mukhanov and G. V. Chibisov, JETP Letters 33, 532 (1981); Sov. Phys. JETP 56 , 258 (1981) .
  94. [234][234] L. V. Mukhanov, L. A. Kofman and D. Yu. Pogosyan, Phys. Lett. 193, 427 (1987).
  95. [236][236] V. F. Mukhanov, H. A. Feldman and R. H. Brandenberger, Phys. Rep. 215, 203 (1992).
  96. [237][237] H. Murayama et al., Phys. Rev. D 50, 2356 (1994).
  97. [241][241] A. E. Nelson, Talk given at 5th International Conference on Supersymmetries in Physics (SUSY 97), Philadelphia, PA, 27-31 May 1997; hep-ph/9707442. · arXiv
  98. [243][243] H. P. Nilles, Phys. Rep. 110, 1 (1984).
  99. [247][247] K. Olive, Phys. Rep. 190, 307 (1990).
  100. [250][250] B. A, Ovrut and S. Thomas, Phys. Lett. B267, 227 (1991); ibid B277, 53 (1992). 149 http://map.gsfc.nasa.gov/ http://arxiv.org/abs/hep-ph/9806426 http://arxiv.org/abs/hep-ph/9801235 http://arxiv.org/abs/hep-ph/9707442 · arXiv
  101. [252][252] Ue-Li Pen, U. Seljak and N. Turok, Phys. Rev. Lett. 79, 1611 (1997).
  102. [254][254] P. Peter, D. Polarski and A. A. Starobinsky, Phys. Rev. D 50, 4827 (1994).
  103. [259][259] J. Polonyi, preprint no. KFKI-77-93, 1997.
  104. [260][260] G. Dvali and A. Pomarol, Phys. Rev. Lett. 77, 3728 (1996).
  105. [263][263] A. Riotto, hep-ph/9707330, Nucl. Phys. B515, 413 (1998). · arXiv
  106. [264][264] A. Riotto, hep-ph/9710329. · arXiv
  107. [265][265] D. Roberts, A. R. Liddle and D. H. Lyth, Phys Rev D 51, 4122 (1995).
  108. [269][269] D. S. Salopek, Phys. Rev. Lett. 69, 3602 (1992).
  109. [271][271] S. Sarkar, Rep. on Progress in Phys. 59, 1493 (1996).
  110. [272][272] M. Sasaki, Prog. Theor. Phys. 76, 1036 (1986).
  111. [273][273] M. Sasaki and E. D. Stewart, Prog. Theor. Phys. 95, 71 (1996). A more accurate calculation, analogous to the one in Ref. [287] for a single-component inflaton, is provided by Ref. [239].
  112. [274][274] Q. Shafi and A. Vilenkin, Phys. Rev. Lett. 52, 691 (1984).
  113. [276][276] G. F. Smoot et al., Astroph J. 396, L1 (1992). 150 http://astro.estec.esa.nl/Planck http://arxiv.org/abs/hep-ph/9707330 http://arxiv.org/abs/hep-ph/9710329 http://arxiv.org/abs/hep-th/9704114 http://arxiv.org/abs/hep-th/9704114 · arXiv
  114. [279][279] A. A. Starobinsky, in; Quantum Gravity (Proc. 2nd Seminar Quantum Theory of Gravitation) [in Russian], Inst. Nucl. Res. USSR Acad. Sci., Moscow (1982), p. 58.
  115. [280][280] A. A. Starobinsky, Sov. Astron. Lett. 11, 133 (1985).
  116. [281][281] A. A. Starobinsky, JETP Lett. 42, 152 (1985).
  117. [282][282] A. A. Starobinsky, in: Lecture Notes in Physics, Vol. 242, eds H. J. de Vega and N. Sanchez, Springer, Berlin, (1986) .
  118. [284][284] A. A. Starobinsky and J. Yokoyama, gr-qc/9502002 (1995). · arXiv
  119. [291][291] R. Stompor et al., astro-ph/9511087. · arXiv
  120. [293][293] S. Thomas, hep-ph/9801007. · arXiv
  121. [294][294] M. S. Turner, Phys. Rev. D 44, 3737 (1991).
  122. [295][295] A. Vilenkin, hep-th/9803084. · arXiv
  123. [299][299] J. Wess and J. Bagger, Supersymmetry and Supergravity, (Princeton University Press, Princeton, 1983) .
  124. [300][300] M. White et al., Mon. Not. Roy. Astron. Soc. 283, 107 (1996).
  125. [302][302] E. Witten, Nucl. Phys. B258, 75 (1985). 151 http://arxiv.org/abs/gr-qc/9502002 http://arxiv.org/abs/astro-ph/9511087 http://arxiv.org/abs/hep-ph/9801007 http://arxiv.org/abs/hep-th/9803084 · arXiv
  126. [304][304] J. Yokoyama, Phys. Lett. B212, 273 (1988); Phys. Rev. Lett. 63, 712 (1989).
  127. [305][305] M. I. Zelnikov, and V. F. Mukhanov, JETP Lett. 54, 197 (1991). 152 …(truncated)

Cited by

Sorted by citations

Authors
Lyth, D. H., & Riotto, A.
Affiliations
  • Lancaster University (GB)
  • European Organization for Nuclear Research (CH)
ORCID
Riotto, Antonio
Venue
Physics Reports
Publisher
Elsevier BV
Published
1999-06
Volume
314
Issue
1-2
Pages
1-146
ISSN
0370-1573 (ISSN-L)
DOI
10.1016/s0370-1573(98)00128-8
OpenAlex
W2124120236
Cited by
2,064
References
4
Citations by year
2026: 46 · 2025: 57 · 2024: 75 · 2023: 57 · 2022: 84 · 2021: 87 · 2020: 49 · 2019: 75 · 2018: 101 · 2017: 69 · 2016: 86 · 2015: 111 · 2014: 105 · 2013: 68 · 2012: 69
FWCI
53.22
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Physics Reports (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
Keywords
cosmic inflation, primordial perturbations, spectral index, primordial gravitational waves, supersymmetry, structure formation, Planck constraints

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review