Ab initio approach to the non-perturbative scalar Yukawa model

Yang Li, V. A. Karmanov, P. Maris, J. P. Vary

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19 Scopus citations


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 α. ≈ 1.7. As we approach the coupling α. ≈. 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.

Original languageEnglish (US)
Pages (from-to)278-283
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - Sep 2 2015

Bibliographical note

Publisher Copyright:
© 2015 Published by Elsevier B.V.


  • Fock sector dependent renormalization
  • Light front hamiltonian
  • Scalar yukawa model


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