Eur. Phys. J. C (2016) 76: 681
https://doi.org/10.1140/epjc/s10052-016-4519-5

Regular Article - Theoretical Physics

Semi-analytic techniques for calculating bubble wall profiles

¹ School of Physics and Astronomy, Monash University, Melbourne, VIC, 3800, Australia
² ARC Centre of Excellence for Particle Physics at the Terascale, Monash University, Melbourne, VIC, 3800, Australia
³ Monash Centre for Astrophysics, Monash University, Melbourne, VIC, 3800, Australia

^* e-mail: csaba.balazs@monash.edu

Received: 22 September 2016
Accepted: 15 November 2016
Published online: 9 December 2016

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 approximate analytic solution and perturbing around it. The perturbations can be written in a semi-analytic form. We assert that our technique lacks convergence problems and demonstrate the speed of convergence on an example potential.