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arxiv: 1610.03559 · v1 · pith:RSWN7IYRnew · submitted 2016-10-11 · ✦ hep-th · nucl-th

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

classification ✦ hep-th nucl-th
keywords scalarfocknonperturbativemodelrenormalizationspacethree-bodytruncations
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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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