Nonperturbative renormalization in a scalar model within Light-Front Dynamics

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dc.creatorBernard, D.
dc.creatorCousin, Th.
dc.creatorKarmanov, V. A.
dc.creatorMathiot, J. -F.
dc.date2001-09-27
dc.date.accessioned2026-07-07T11:31:55Z
dc.date.available2026-07-07T11:31:55Z
dc.descriptionWithin the covariant formulation of Light-Front Dynamics, in a scalar model with the interaction Hamiltonian $H=-gψ^{2}(x)ϕ(x)$, we calculate nonperturbatively the renormalized state vector of a scalar "nucleon" in a truncated Fock space containing the $N$, $Nπ$ and $Nππ$ sectors. The model gives a simple example of non-perturbative renormalization which is carried out numerically. Though the mass renormalization $δm^2$ diverges logarithmically with the cutoff $L$, the Fock components of the "physical" nucleon are stable when $L\to\infty$.
dc.description22 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0109208
dc.identifierhttp://arxiv.org/abs/hep-th/0109208
dc.identifierPhys.Rev.D65:025016,2002
dc.identifierdoi:10.1103/PhysRevD.65.025016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197430
dc.subjectHigh Energy Physics - Theory
dc.titleNonperturbative renormalization in a scalar model within Light-Front Dynamics
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