Quantum Dynamics of the Slow Rollover Transition in the Linear Delta Expansion

TL;DR

This paper applies the linear delta expansion to quantum mechanics of the slow rollover transition, improving accuracy over previous methods and paving the way for more comprehensive field theoretic analyses in inflationary cosmology.

Contribution

It introduces the linear delta expansion to quantum mechanics of the slow rollover transition, surpassing Gaussian approximation accuracy and enabling future field theory applications.

Findings

Results closely match the exact solution for longer durations.

The method outperforms previous approximation techniques.

Provides a foundation for extending to quantum field theory.

Abstract

We apply the linear delta expansion to the quantum mechanical version of the slow rollover transition which is an important feature of inflationary models of the early universe. The method, which goes beyond the Gaussian approximation, gives results which stay close to the exact solution for longer than previous methods. It provides a promising basis for extension to a full field theoretic treatment.