Year: 2001
Type: article
Abstract: Within the covariant formulation of light-front dynamics, in a scalar model with the interaction Hamiltonian $H=\ensuremath{-}g{\ensuremath{\psi}}^{2}(x)\ensuremath{\varphi}(x),$ we calculate nonperturbatively the renormalized state vector of a scalar ``nucleon'' in a truncated Fock space containing the N, $N\ensuremath{\pi}$ and $N\ensuremath{\pi}\ensuremath{\pi}$ sectors. The model gives a simple example of nonperturbative renormalization that is carried out numerically. Though the mass renormalization $\ensuremath{\delta}{m}^{2}$ diverges logarithmically with increasing cutoff L, the Fock components of the ``physical'' nucleon are stable when $\stackrel{\ensuremath{\rightarrow}}{L}\ensuremath{\infty}.$
Authors: D. Bernard, Th. Cousin, V. A. Karmanov, J.-F. Mathiot
Institutions: Commissariat à l'Énergie Atomique et aux Énergies Alternatives, CEA Cadarache, Centre National de la Recherche Scientifique, Laboratoire de Physique de Clermont Auvergne, Institut National de Physique Nucléaire et de Physique des Particules, Université Blaise Pascal, P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2091055808