Quasiattractor in models of new and chaotic inflation

TL;DR

This paper introduces a quasiattractor framework for analyzing inflation models with specific scalar potentials, enabling simplified derivation of fluctuation predictions consistent with observations.

Contribution

It presents a novel quasiattractor approach to inflation dynamics, providing analytical expressions for fluctuations and identifying parameter regions compatible with experimental data.

Findings

Derived theoretical expressions for cosmic fluctuations.

Identified parameter regions consistent with observations.

Demonstrated the method's effectiveness for specific inflation potentials.

Abstract

Inflation with a scalar-field potential of the form \lambda (\phi^2-v^2)^2 can be described in terms of a parametrical attractor with critical points, whose driftage depends on the control value of the slowly changing Hubble rate. The method allows us to easily obtain theoretical expressions for fluctuations of inhomogeneity in both the cosmic microwave background and distribution of matter. We find the region for admissible values of potential parameters, wherein theoretical predictions are consistent with experimental results within the limits of measurement uncertainties.