Systematic renormalization scheme in light-front dynamics with Fock space truncation

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dc.creatorKarmanov, V. A.
dc.creatorMathiot, J. -F.
dc.creatorSmirnov, A. V.
dc.date2008-01-29
dc.date.accessioned2026-07-07T11:40:01Z
dc.date.available2026-07-07T11:40:01Z
dc.descriptionWithin the framework of the covariant formulation of light-front dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The counterterms and bare parameters needed to renormalize the theory depend on the Fock sectors. We present a general strategy in order to calculate these quantities, as well as state vectors of physical systems, in a truncated Fock space. The explicit dependence of our formalism on the orientation of the light front plane is essential in order to analyze the structure of the counterterms. We apply our formalism to the two-body (one fermion and one boson) truncation in the Yukawa model and in QED, and to the three-body truncation in a scalar model. In QED, we recover analytically, without any perturbative expansion, the renormalization of the electric charge, according to the requirements of the Ward identity.
dc.description32 pages, 14 figures, submitted in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0801.4507
dc.identifierhttp://arxiv.org/abs/0801.4507
dc.identifierPhys.Rev.D77:085028,2008
dc.identifierdoi:10.1103/PhysRevD.77.085028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200132
dc.subjectHigh Energy Physics - Theory
dc.titleSystematic renormalization scheme in light-front dynamics with Fock space truncation
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