TY - JOUR
T1 - Inflation in random landscapes with two energy scales
AU - Blanco-Pillado, Jose J.
AU - Vilenkin, Alexander
AU - Yamada, Masaki
N1 - Funding Information:
J.J. B.-P. would like to thank useful conversations with Kepa Sousa and Mikel Alvarez. This work is supported in part by the Basque Foundation for Science (IKERBASQUE), the Spanish Ministry MINECO grant (FPA2015-64041-C2-1P), the Basque Government grant (IT-979-16) and the National Science Foundation under grant 1518742. J.J. B.-P. would also like to thank the Tufts Institute of Cosmology for its kind hospitality during the time that this work was completed.
Publisher Copyright:
© 2018, The Author(s).
PY - 2018/2/1
Y1 - 2018/2/1
N2 - We investigate inflation in a multi-dimensional landscape with a hierarchy of energy scales, motivated by the string theory, where the energy scale of Kahler moduli is usually assumed to be much lower than that of complex structure moduli and dilaton field. We argue that in such a landscape, the dynamics of slow-roll inflation is governed by the low-energy potential, while the initial condition for inflation are determined by tunneling through high-energy barriers. We then use the scale factor cutoff measure to calculate the probability distribution for the number of inflationary e-folds and the amplitude of density fluctuations Q, assuming that the low-energy landscape is described by a random Gaussian potential with a correlation length much smaller than Mpl. We find that the distribution for Q has a unique shape and a preferred domain, which depends on the parameters of the low-energy landscape. We discuss some observational implications of this distribution and the constraints it imposes on the landscape parameters.
AB - We investigate inflation in a multi-dimensional landscape with a hierarchy of energy scales, motivated by the string theory, where the energy scale of Kahler moduli is usually assumed to be much lower than that of complex structure moduli and dilaton field. We argue that in such a landscape, the dynamics of slow-roll inflation is governed by the low-energy potential, while the initial condition for inflation are determined by tunneling through high-energy barriers. We then use the scale factor cutoff measure to calculate the probability distribution for the number of inflationary e-folds and the amplitude of density fluctuations Q, assuming that the low-energy landscape is described by a random Gaussian potential with a correlation length much smaller than Mpl. We find that the distribution for Q has a unique shape and a preferred domain, which depends on the parameters of the low-energy landscape. We discuss some observational implications of this distribution and the constraints it imposes on the landscape parameters.
KW - Compactification and String Models
KW - Cosmology of Theories beyond the SM
KW - Superstring Vacua
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U2 - 10.1007/JHEP02(2018)130
DO - 10.1007/JHEP02(2018)130
M3 - Article
AN - SCOPUS:85042563227
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 2
M1 - 130
ER -