Ab initio results for the broken phase of scalar light front field theory

TL;DR

This paper uses nonperturbative light-front methods to analyze the broken phase of a 2D scalar quantum field theory, revealing degeneracies, mass spectra, and a kink-antikink structure.

Contribution

It provides the first nonperturbative light-front analysis of the broken phase in this model, including novel form factor and number density results.

Findings

Degeneracy between even and odd particle sectors

Masses of the lowest two states and vacuum energy density determined

Revealed a kink-antikink structure in the elementary constituents

Abstract

We present nonperturbative light-front energy eigenstates in the broken phase of a two dimensional $\frac{\lambda}{4!}\phi^4$ quantum field theory using Discrete Light Cone Quantization and extrapolate the results to the continuum limit. We establish degeneracy in the even and odd particle sectors and extract the masses of the lowest two states and the vacuum energy density for $\lambda=0.5$ and 1.0. We present two novel results: the Fourier transform of the form factor of the lowest excitation as well as the number density of elementary constituents of that state. A coherent state with kink - antikink structure is revealed.