# Radiative corrections to false vacuum decay in quantum mechanics

## TL;DR

This paper analyzes radiative corrections to false vacuum decay in quantum mechanics with a general quadratic potential, providing analytical Green functions and decay rate expressions, including higher-order loop corrections.

## Contribution

It offers analytical solutions for Green functions and decay rates, and computes higher-order loop corrections for a broad class of quadratic potentials.

## Key findings

- Analytical Green function expressions derived for the bounce background.
- Explicit one-loop decay rate formulas provided.
- Numerical results for two and three-loop corrections included.

## Abstract

We consider radiative corrections to false vacuum decay within the framework of quantum mechanics for the general potential of the form 1/2 M q^2 (q-A)(q-B), where M , A and B are arbitrary parameters. For this type of potential we provide analytical results for Green function in the background of corresponding bounce solution together with one loop expression for false vacuum decay rate. Next, we discuss the computation of higher order corrections for false vacuum decay rate and provide numerical expressions for two and three loop contributions.