Scalar potentials with Multi-scalar fields from quantum cosmology and supersymmetric quantum mechanics

TL;DR

This paper constructs and constrains scalar field potentials for inflation using quantum cosmology and supersymmetric quantum mechanics, providing a framework to identify the most suitable potentials for the inflation epoch.

Contribution

It introduces a novel combination of quantum potential approach and SUSYQM to restrict and test inflationary potentials in multi-scalar field cosmology.

Findings

Identified a family of potentials suitable for inflation.

Constrained potentials using quantum and supersymmetric methods.

Provided solutions to the wave function of the universe.

Abstract

The Multi-scalar field cosmology of the anisotropic Bianchi type I model is used in order to construct a family of potentials that are the best suited to model the inflation phenomenon. We employ the quantum potential approach to quantum mechanics due to Bohm in order to solve the corresponding Wheeler-DeWitt equation; which in turn enables us to restrict sensibly the aforementioned family of potentials. Supersymmetric Quantum Mechanics (SUSYQM) is also employed in order to constrain the superpotential function, at the same time the tools from SUSY Quantum Mechanics are used to test the family of potentials in order to infer which is the most convenient for the inflation epoch. For completeness solutions to the wave function of the universe are also presented.