Non-perturbative computation of the bubble nucleation rate in the cubic anisotropy model

TL;DR

This paper introduces a lattice-based method for calculating the bubble nucleation rate in first-order phase transitions, particularly effective for strongly suppressed nucleation, and applies it to the 3D cubic anisotropy model.

Contribution

It presents a non-perturbative lattice approach to compute nucleation rates, including dynamical factors, for strongly suppressed transitions in the cubic anisotropy model.

Findings

The method accurately computes nucleation rates in strongly suppressed regimes.

Results agree with analytical approaches in the studied parameter range.

The approach is suitable for physically relevant phase transitions.

Abstract

At first order phase transitions the transition proceeds through droplet nucleation and growth. We discuss a lattice method for calculating the droplet nucleation rate, including the complete dynamical factors. The method is especially suitable for very strongly suppressed droplet nucleation, which is often the case in physically interesting transitions. We apply the method to the 3-dimensional cubic anisotropy model in a parameter range where the model has a radiatively induced strong first order phase transition, and compare the results with analytical approaches.