Quantum kink and its excitations

TL;DR

This paper presents a non-perturbative Monte Carlo method to analyze quantum kinks and their excitations in quantum field theory, providing new ways to measure kink properties more effectively.

Contribution

It introduces a novel approach to extract detailed kink properties from correlation functions, applicable to more realistic theories and various defect types.

Findings

Successfully calculated kink mass using correlation functions

Determined excitation spectrum and wave functions

Demonstrated advantages over existing methods

Abstract

We show how detailed properties of a kink in quantum field theory can be extracted from field correlation functions. This makes it possible to study quantum kinks in a fully non-perturbative way using Monte Carlo simulations. We demonstrate this by calculating the kink mass as well as the spectrum and approximate wave functions of its excitations. This way of measuring the kink mass has clear advantages over the existing approaches based on creation and annihilation operators or the kink free energy. Our methods are straightforward to generalise to more realistic theories and other defect types.