Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model

Understand

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 $\alpha \approx 1.7$.