Non-minimally coupled complex scalar field in classical and quantum cosmology

TL;DR

This paper explores a cosmological model with a complex scalar inflaton field non-minimally coupled to gravity, analyzing Euclidean instanton solutions and their implications for inflationary cosmology.

Contribution

It provides new numerical instanton solutions in a non-minimally coupled complex scalar field model, illustrating diverse Euclidean geometries and their potential cosmological significance.

Findings

Identified various Euclidean geometries of classically forbidden regions.

Numerically obtained non-trivial instanton solutions.

Discussed potential links to inflationary scenarios.

Abstract

We investigate the cosmological model with complex scalar self-interacting inflaton field non-minimally coupled to gravity. The different geometries of the Euclidean classically forbidden regions are represented. The instanton solutions of the corresponding Euclidean equations of motion are found by numerical calculations. These solutions give a rather non-trivial examples of real tunnelling geometries. Possible interpretation of obtained results and their connection with inflationary cosmology is discussed.