English

Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations

High Energy Physics - Theory 2016-11-21 v1 Nuclear Theory

Abstract

The Light-Front Tamm-Dancoff method of finding the nonperturbative solutions in field theory is based on the Fock decomposition of the state vector, complemented with the sector-dependent nonperturbative renormalization scheme. We show in detail how to implement the renormalization procedure and to solve the simplest nontrivial example of the scalar Yukawa model in the two- and three-body Fock space truncations incorporating scalar "nucleon" and one or two scalar "pions".

Keywords

Cite

@article{arxiv.1610.03559,
  title  = {Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations},
  author = {Vladimir A. Karmanov and Yang Li and Alexander V. Smirnov and James P. Vary},
  journal= {arXiv preprint arXiv:1610.03559},
  year   = {2016}
}

Comments

34 pages, 16 figures, submitted to Phys. Rev. D