Light-Front Dynamic Analysis of Bound States in Scalar Field Model

TL;DR

This paper investigates the bound-state problem in a scalar field model using light-front dynamics, incorporating various higher-order effects and self-energy corrections to compute binding energies and analyze wavefunctions.

Contribution

It extends the light-front two-body bound-state equation to include complex kernels and self-energy effects, providing numerical results for binding energies across different parameters.

Findings

Numerical binding energies as a function of coupling constant and mass ratios.

Analysis of the correlation between mass spectrum and wavefunctions.

Inclusion of higher Fock-state contributions and self-energy corrections.

Abstract

The light-front dynamics (LFD) of the scalar field model theory is analyzed to solve the two-body bound-state problem. The light-front two-body bound-state equation is extended to the full LFD kernel including the ladder, cross-ladder, stretched-box, and particle-antiparticle creation/annihilation effects to study the contributions of higher Fock-states. The light-front two-body equation is also modified by the term corresponding to the self-energy corrections and counter-terms. Using the variational principle, we obtain the numerical result of the binding energy B versus the coupling constant \alpha\ for various mass ratios of the constituent particles including the cases of non-zero exchange particle mass. We also discuss the correlation between the mass spectrum and the corresponding bound-state wavefunction.