Time dependent action in $\phi^6$ potential

TL;DR

This paper investigates false vacuum decay in a $^6$ potential, deriving an oscillating bubble solution and calculating the instantaneous nucleation rate to understand decay dynamics from an oscillating initial state.

Contribution

It introduces an oscillating bubble solution and computes the time-dependent nucleation rate in $^6$ potential, advancing understanding of decay processes from oscillating states.

Findings

Derived an oscillating bubble solution in $^6$ potential.

Calculated the instantaneous bubble nucleation rate.

Provided insights into decay dynamics from oscillating initial states.

Abstract

The false vacuum decay in field theory from a coherently oscillating initial state is studied for $\phi^6$ potential. An oscillating bubble solution is obtained. The instantaneous bubble nucleation rate is calculated.