Symmetry breaking in light-front $\phi^4$ theory

TL;DR

This paper investigates phase transitions in two-dimensional light-front $\

Contribution

It introduces a detailed analysis of symmetry breaking in light-front $\

Findings

Mass of the lowest state varies with coupling.

Eigenstate structure indicates critical behavior.

Sector-dependent masses reveal different state probabilities.

Abstract

We consider the symmetric and broken phases of light-front $\phi^4$ theory in two dimensions. In both cases the mass of the lowest state is computed and its dependence on the coupling used to infer critical coupling values. The structure of the eigenstate is examined to determine whether it shows the signs of critical behavior, specifically whether the one-body sector becomes improbable relative to the higher Fock sectors. In attempts to establish this behavior, we consider both sector-independent and sector-dependent constituent masses.