Hubble multi-scalar inflation

TL;DR

This paper develops a framework for analyzing multi-scalar inflation models using Hubble expansion parameters and flow equations, focusing on derivatives of e-folds with respect to scalar fields at inflation's end.

Contribution

It introduces a hierarchy of Hubble-based parameters and derives flow equations for multi-field inflation, providing new tools for understanding their dynamics.

Findings

Derived system of flow equations for multi-field inflation.

Established methods to compute derivatives of e-folds at inflation's end.

Enhanced understanding of inflationary dynamics in curved field space.

Abstract

Multiple field models of inflation exhibit new features than single field models. In this work, we study the hierarchy of parameters based on Hubble expansion rate in curved field space and derive the system of flow equations that describe their evolution. Then we focus on obtaining derivatives of number of $e$-folds with respect to scalar fields during inflation and at hypersurface of the end of inflation.