Impact of the internal modes on the sphaleron decay

TL;DR

This paper investigates how internal modes influence sphaleron decay in deformed $^6$ models, revealing that internal modes can alter collapse dynamics and are crucial for understanding sphaleron behavior.

Contribution

It introduces a detailed analysis of internal modes in sphalerons within deformed $^6$ models and explains their role in collapse processes.

Findings

Internal modes significantly affect sphaleron collapse behavior.

Positive internal modes can reverse the direction of sphaleron collapse.

Analytical understanding of the internal mode influence is provided.

Abstract

We study the sphaleron solutions in two deformations of the $\phi^6$ model and analyze the oscillons originated from them. We find that the presence of internal modes plays a crucial role in the sphaleron collapse. The positive internal modes triggered by a squeezing of the sphaleron are able to change the direction of collapse. We provide an analytical understanding behind this phenomenon.