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arXiv · 1610.03559

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

Vladimir A. Karmanov·Yang Li·Alexander V. Smirnov·James P. Vary
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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".

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Vladimir A. Karmanov, Yang Li, Alexander V. Smirnov, James P. Vary. 2016-10-11. Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations. https://doi.org/10.1103/physrevd.94.096008

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