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

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 α 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.

21 pages, 13 figures. Submitted to Physical Review C

References in corpus (5)

• Cross-ladder effects in Bethe-Salpeter and Light-Front equations
• Nonperturbative dynamics of scalar field theories through the Feynman-Schwinger representation
• The role of interaction vertices in bound state calculations
• Bethe-Salpeter equation in Minkowski space with cross-ladder kernel
• Why pair production cures covariance in the light-front?

Cited by in corpus (7)

• Nonperturbative light-front Hamiltonian methods
• Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model
• Three-boson bound states in Minkowski space with contact interactions
• Non-Perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation
• Color-suppression of non-planar diagrams in bosonic bound states
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Nonperturbative light-front effective potential for static sources in quenched scalar Yukawa theory