Light-front $\phi^4_{1+1}$ theory using a many-boson symmetric-polynomial basis

TL;DR

This paper develops a symmetric-polynomial basis method for light-front $ph$ theory in 1+1 dimensions, enabling efficient analysis of low-mass eigenstates and estimation of critical coupling for symmetry breaking.

Contribution

It extends symmetric polynomial basis methods to many-boson systems in light-front $ph$ theory, improving resolution and efficiency over traditional DLCQ approaches.

Findings

Estimated the critical coupling for symmetry breaking.

Demonstrated improved resolution in Fock sectors.

Extended basis methods to arbitrarily many bosons.

Abstract

We extend earlier work on fully symmetric polynomials for three-boson wave functions to arbitrarily many bosons and apply these to a light-front analysis of the low-mass eigenstates of $\phi^4$ theory in 1+1 dimensions. The basis-function approach allows the resolution in each Fock sector to be independently optimized, which can be more efficient than the preset discrete Fock states in DLCQ. We obtain an estimate of the critical coupling for symmetry breaking in the positive mass-squared case.