Constrained potential method for false vacuum decays

TL;DR

This paper introduces an improved numerical method for analyzing false vacuum decay in models with multiple scalar fields, enabling solutions for previously challenging cases such as distant or nonexistent true vacua.

Contribution

It refines the approach by Konstandin and Huber, allowing for the analysis of false vacuum transitions in more complex scalar field models.

Findings

Successfully applied to models with unbounded-from-below directions.

Extended the applicability of false vacuum decay analysis to difficult scenarios.

Demonstrated the method's effectiveness with a specific example.

Abstract

A procedure is reported for numerical analysis of false vacuum transition in a model with multiple scalar fields. It is a refined version of the approach by Konstandin and Huber. The alteration makes it possible to tackle a class of problems that was difficult or unsolvable with the original method, i.e. those with a distant or nonexistent true vacuum. An example with an unbounded-from-below direction is presented.