Non-Perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation

Abstract

The quenched scalar Yukawa theory is solved in the light-front Tamm-Dancoff approach including up to four constituents (one scalar nucleon, three scalar pions). The Fock sector dependent renormalization is implemented. By studying the Fock sector norms, we find that the lowest two Fock sectors dominate the state even in the large-coupling region. The one-body sector shows convergence with respect to the Fock sector truncation. However, the four-body norm exceeds the three-body norm at the coupling $\alpha \approx 1.7$.

arXiv comment8 pages, 6 figures, conference proceeding, presented at LightCone 2014, Raleigh, North Carolina. Texts are updated and typos corrected

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Cited by in corpus (6)

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• Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Dissecting a strongly coupled scalar nucleon
• 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