Semi-analytic techniques for calculating bubble wall profiles

TL;DR

This paper introduces semi-analytic methods for efficiently computing bubble wall profiles in multi-scalar field first order phase transitions, reducing computational complexity and demonstrating rapid convergence.

Contribution

It develops a semi-analytic approach that simplifies multi-field bubble wall calculations by reducing them to single-field problems with perturbative solutions.

Findings

Method reduces computational complexity

Demonstrates rapid convergence on example potential

No convergence issues encountered

Abstract

We present semi-analytic techniques for finding bubble wall profiles during first order phase transitions with multiple scalar fields. Our method involves reducing the problem to an equation with a single field, finding an analytic solution and perturbing around it. The perturbations can be written in a semi-analytic form. We argue that our technique lacks convergence problems and demonstrate the speed of convergence on an example potential.