Non-Uniqueness of Classical Inflationary Trajectories on a High-Dimensional Landscape

Abstract

Motivated by the string landscape, inflation may happen on a high dimensional complicated potential. We propose a new way to construct some high dimensional random potentials, and study inflation on top of that, for up to 50-dimensions in field space. Especially, random bifurcations of classical inflationary trajectory are studied. It is shown that the bifurcation probability increases as a function of number of dimensions. Those random bifurcations are not consistent with observations, and dramatically limit the parameter space of inflation on a complicated landscape. For example, in 10 dimensions, only $10^{-3}\sim 10^{-6}$ of the parameter space volume leads to unique classical trajectories. The rest is ruled out by random bifurcations.

References in corpus (25)

• Quasi-Single Field Inflation and Non-Gaussianities
• Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation
• What does inflation really predict?
• Thermal Properties of an Inflationary Universe
• Aligned Natural Inflation in String Theory
• A Statistical Approach to Multifield Inflation: Many-field Perturbations Beyond Slow Roll
• Brane Inflation : String Theory viewed from the Cosmos
• Multifield consequences for D-brane inflation
• Charting an Inflationary Landscape with Random Matrix Theory
• Combining Universal and Odd RR Axions for Aligned Natural Inflation
• Multi-field inflation with random potentials: field dimension, feature scale and non-Gaussianity
• On Gaussian Random Supergravity
• Inflationary power asymmetry from primordial domain walls
• Multi-Stream Inflation
• Beauty is Distractive: Particle production during multifield inflation
• Disorder in the Early Universe
• A Theory of a Spot
• A Meandering Inflaton
• The Cosmological Constant Problem and Inflation in the String Landscape
• Inflation in a Web
• Multi-Stream Inflation in a Landscape
• Position Space CMB Anomalies from Multi-Stream Inflation
• Local random potentials of high differentiability to model the Landscape
• Confronting brane inflation with Planck and pre-Planck data
• Multi-Stream Inflation: Bifurcations and Recombinations in the Multiverse

Cited by in corpus (8)

• Detectability of Gravitational Waves from the Coalescence of Massive Primordial Black Holes with Initial Clustering
• Classical transitions with the topological number changing in the early Universe
• Manyfield Inflation in Random Potentials
• Hybrid Quasi-Single Field Inflation
• Artificial Neural Network in Cosmic Landscape
• Transitions between topologically non-trivial configurations
• Non-Standard Primordial Clocks from Dynamical Mass in Alternative to Inflation Scenarios
• Lattice Simulation of Multi-Stream Inflation