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

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".

arXiv comment34 pages, 16 figures, submitted to Phys. Rev. D

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• Semileptonic Decay of $B_c$ to ${\eta }_c$ and $J/\psi$ on the Light Front
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Dissecting a strongly coupled scalar nucleon
• Flavor asymmetry from the non-perturbative nucleon sea
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Quantum entanglement between partons in a strongly coupled quantum field theory
• Non-perturbative flavor asymmetry in the nucleon and deuteron: The light-front Hamiltonian effective field theory approach
• Abnormal Bound Systems