Multi-field Inflation with a Random Potential

dc.creatorTye, S. -H. Henry
dc.creatorXu, Jiajun
dc.creatorZhang, Yang
dc.date2008-12-10
dc.date2009-03-12
dc.date.accessioned2026-07-07T13:07:40Z
dc.date.available2026-07-07T13:07:40Z
dc.descriptionMotivated by the possibility of inflation in the cosmic landscape, which may be approximated by a complicated potential, we study the density perturbations in multi-field inflation with a random potential. The random potential causes the inflaton to undergo a Brownian motion with a drift in the D-dimensional field space. To quantify such an effect, we employ a stochastic approach to evaluate the two-point and three-point functions of primordial perturbations. We find that in the weakly random scenario the resulting power spectrum resembles that of the single field slow-roll case, with up to 2% more red tilt. The strongly random scenario, leads to rich phenomenologies, such as primordial fluctuations in the power spectrum on all angular scales. Such features may already be hiding in the error bars of observed CMB TT (as well as TE and EE) power spectrum and can be detected or falsified with more data coming in the future. The tensor power spectrum itself is free of fluctuations and the tensor to scalar ratio is enhanced. In addition a large negative running of the power spectral index is possible. Non-Gaussianity is generically suppressed by the growth of adiabatic perturbations on super-horizon scales, but can possibly be enhanced by resonant effects or arise from the entropic perturbations during the onset of (p)reheating. The formalism developed in this paper can be applied to a wide class of multi-field inflation models including, e.g. the N-flation scenario.
dc.descriptionMore clarifications and references added
dc.identifierhttps://arxiv.org/abs/0812.1944
dc.identifierhttp://arxiv.org/abs/0812.1944
dc.identifierJCAP 0904:018,2009
dc.identifierdoi:10.1088/1475-7516/2009/04/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228165
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMulti-field Inflation with a Random Potential
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