Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model

Abstract

We report on the first non-perturbative calculation of the scalar Yukawa model in the single-nucleon sector up to four-body Fock sector truncation (one "scalar nucleon" and three "scalar pions"). The light-front Hamiltonian approach with a systematic non-perturbative renormalization is applied. We study the $n$-body norms and the electromagnetic form factor. We find that the one- and two-body contributions dominate up to coupling $\alpha \approx 1.7$. As we approach the coupling $\alpha \approx 2.2$, we discover that the four-body contribution rises rapidly and overtakes the two- and three-body contributions. By comparing with lower sector truncations, we show that the form factor converges with respect to the Fock sector expansion.

8 pages, 12 figures, to be published in Phys. Lett. B

References in corpus (2)

• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Light-Front Quantum Chromodynamics: A framework for the analysis of hadron physics

Cited by in corpus (24)

• 50 Years of Quantum Chromodynamics
• Quarkonium as relativistic bound state on the light front
• Nonperturbative light-front Hamiltonian methods
• Frame dependence of form factors in light-front dynamics
• Forces inside a strongly-coupled scalar nucleon
• Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
• Particle distribution in intense fields in a light-front Hamiltonian approach
• Frame dependence of transition form factors in light-front dynamics
• Scattering in strong electromagnetic fields: transverse size effects in tBLFQ
• Elementary example of exact effective-Hamiltonian computation
• Quarkonium wave functions on the light front
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Semileptonic Decay of $B_c$ to ${\eta }_c$ and $J/\psi$ on the Light Front
• Tadpoles and vacuum bubbles in light-front quantization
• Dissecting a strongly coupled scalar nucleon
• Nonperturbative light-front effective potential for static sources in quenched scalar Yukawa theory
• Flavor asymmetry from the non-perturbative nucleon sea
• The Yukawa Model in One Space - One Time Dimensions
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory
• Quantum entanglement between partons in a strongly coupled quantum field theory
• Abnormal Bound Systems
• Non-perturbative flavor asymmetry in the nucleon and deuteron: The light-front Hamiltonian effective field theory approach