# Counting Vacua in Random Landscapes

@article{Easther2016CountingVI, title={Counting Vacua in Random Landscapes}, author={Richard Easther and Alan Harvey Guth and Ali Masoumi}, journal={arXiv: High Energy Physics - Theory}, year={2016} }

It is speculated that the correct theory of fundamental physics includes a large landscape of states, which can be described as a potential which is a function of N scalar fields and some number of discrete variables. The properties of such a landscape are crucial in determining key cosmological parameters including the dark energy density, the stability of the vacuum, the naturalness of inflation and the properties of the resulting perturbations, and the likelihood of bubble nucleation events…

## 23 Citations

### The distribution of vacua in random landscape potentials

- MathematicsJournal of Cosmology and Astroparticle Physics
- 2021

Landscape cosmology posits the existence of a convoluted, multidimensional, scalar potential—the “landscape”—with vast numbers of metastable minima. Random matrices and random functions in many…

### Statistical properties of inflationary saddles in Gaussian random landscapes

- Computer ScienceJournal of Cosmology and Astroparticle Physics
- 2022

This work considers the inflationary implications of a landscape defined by a Gaussian random function, which is perhaps the simplest such scenario, and shows that for saddles with a single downhill direction the negative mass term grows smaller relative to the average mass as N increases, with potential implications for the η-problem in landscape scenarios.

### Inflation in random landscapes with two energy scales

- Physics
- 2017

A bstractWe 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…

### Hessian eigenvalue distribution in a random Gaussian landscape

- Physics
- 2017

A bstractThe energy landscape of multiverse cosmology is often modeled by a multi-dimensional random Gaussian potential. The physical predictions of such models crucially depend on the eigenvalue…

### Manyfield inflation in random potentials

- Physics
- 2017

We construct models of inflation with many randomly interacting fields and use these to study the generation of cosmological observables. We model the potentials as multi-dimensional Gaussian random…

### Multifield inflation in random potentials and the rapid-turn limit

- Economics
- 2020

Multifield inflation in random potentials and the rapid-turn limit Theodor Björkmo Cosmological inflation is a simple, and observationally well-supported, mechanism for generating a flat, spatially…

### Flatness of minima in random inflationary landscapes

- MathematicsInternational Journal of Modern Physics A
- 2019

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…

### Hessian spectrum at the global minimum of high-dimensional random landscapes

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2018

Using the replica method we calculate the mean spectral density of the Hessian matrix at the global minimum of a random dimensional isotropic, translationally invariant Gaussian random landscape…

### Cosmological Inflation in N-Dimensional Gaussian Random Fields with Algorithmic Data Compression

- Computer Science
- 2020

The Gaussian random potential is a highly versatile inflationary model with a rich volume of parameter space capable of reproducing modern observations and is found to be maximally random.

### Inflation in multi-field random Gaussian landscapes

- Physics
- 2017

We investigate slow-roll inflation in a multi-field random Gaussian landscape. The landscape is assumed to be small-field, with a correlation length much smaller than the Planck scale. Inflation then…

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