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Abstract

We study the likelihood for relative minima of random polynomial potentials to support the slow-roll conditions for inflation. Consistent with renormalizability and boundedness, the coefficients that appear in the potential are chosen to be order one with respect to the energy scale at which inflation transpires. Investigation of the single field case illustrates a window in which the potentials satisfy the slow-roll conditions. When there are two scalar fields, we find that the probability depends mildly on the choice of distribution for the coefficients. A uniform distribution yields a 0.05% probability of finding a suitable minimum in the random potential, whereas a maximum entropy distribution yields a 0.1% probability.

Publication Type:	Article
Additional Information:	Electronic version of an article published as He, Y-H. , Jejjala, V., Pontiggia, L., Xiao, Y. and Zhou, D. (2019). Flatness of minima in random inflationary landscapes. International Journal of Modern Physics A, 34(17), 1950084. https://doi.org/10.1142/S0217751X19500842 © World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijmpa.
Publisher Keywords:	Multifield inflation, random potentials, slow roll
Departments:	School of Science & Technology > Mathematics
SWORD Depositor:	Symplectic Administrator

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