Exactly Solvable Vacuum Decays with Gravity

TL;DR

This paper introduces a new method using tunneling potential to analytically solve false vacuum decay problems with gravity, providing explicit examples that bridge different decay regimes.

Contribution

It develops a general approach to find scalar potentials with exactly solvable vacuum decay, including gravitational effects, and explores the transition between decay regimes.

Findings

Derived explicit solutions for vacuum decay with gravity.

Analyzed the transition between Coleman-De Luccia and Hawking-Moss regimes.

Provided concrete examples of analytically solvable decay processes.

Abstract

Using a new approach to the analysis of false vacuum decay based on the so-called tunneling potential, we develop a general method to find scalar potentials with a false vacuum with exactly solvable decay at the semi-classical level, including gravitational corrections. We examine in particular the decays of de Sitter vacua providing concrete examples that allow to explore analytically the transition between the Coleman-De Luccia and Hawking-Moss regimes.