Infrared behavior in tame hyperbolizable two-field models

TL;DR

This paper analyzes the asymptotic behavior of cosmological curves in two-field models near critical points and ends, providing universal forms of gradient flow and comparing with numerical results.

Contribution

It introduces universal asymptotic forms of gradient flow near critical points and ends in tame hyperbolizable two-field models, enhancing understanding of their infrared behavior.

Findings

Universal asymptotic forms of gradient flow derived.

Comparison with numerical cosmological curves confirms theoretical predictions.

Insights into scalar manifold behavior near critical points and ends.

Abstract

We discuss the behavior of cosmological curves and their first order infrared approximants near critical ends of the scalar manifold $\Sigma$ and near interior critical points of the scalar potential for tame hyperbolizable two-field cosmological models by determining the universal forms of the asymptotic gradient flow of the classical effective potential with respect to the uniformizing metric near all these points and ends. We compare the asymptotic behavior of gradient flow curves with numerical results for cosmological curves.