Tunneling and Nucleation Rate in the (\lambda\phi^4/4! + \sigma\phi^6/6!)_3 Model

TL;DR

This paper calculates vacuum decay and nucleation rates in a 3D scalar field model with quartic and sextic interactions, using the thin-wall approximation to derive bounce solutions and eigenvalue equations.

Contribution

It provides the first detailed analysis of tunneling and nucleation rates in the (lambdaF^4/4! + sigmaF^6/6!)_3 model, including bounce solutions and eigenvalue approximations.

Findings

Derived bounce solutions for the model

Calculated vacuum decay and nucleation rates

Presented approximate eigenvalue equations

Abstract

We evaluate both the vacuum decay rate at zero temperature and the finite temperature nucleation rate for the $(\lambda\phi^4/4! + \sigma\phi^6/6!)_{3D}$ model. Using the thin-wall approximation, we obtain the bounce solution for the model and we were also able to give the approximate eigenvalue equations for the bounce.