Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model

Article, Preprint English OPEN
Li, Yang ; Karmanov, V. A. ; Maris, P. ; Vary, J. P. (2015)
  • Publisher: Elsevier
  • Journal: Physics letters B, volume 748, pages 278-283 (issn: 0370-2693, eissn: 1873-2445)
  • Related identifiers: doi: 10.1016/j.physletb.2015.07.014
  • Subject: Nuclear Theory | Fock sector dependent renormalization | Physics | High Energy Physics - Theory | Light front Hamiltonian | QC1-999 | Scalar Yukawa model | Nuclear and High Energy Physics

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.
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