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

doi:10.1103/PhysRevD.94.096008

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

Mathematics & Statistics

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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 by 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".

Original language	English (US)
Article number	096008
Journal	Physical Review D
Volume	94
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevD.94.096008
State	Published - Nov 17 2016

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© 2016 American Physical Society.

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AU - Vary, James P.

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

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