2001/09/27 by D. Bernard, Denis Bernard, Th. Cousin +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.65.025016
published as Phys.Rev.D65:025016,2002 · 22 pages, 5 figures
arxiv created 2001/09/27 · openalex publication_date 2001/12/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Within the covariant formulation of light-front dynamics, in a scalar model with the interaction Hamiltonian H=\ensuremath-g\ensuremathψ2(x)\ensuremathφ(x), we calculate nonperturbatively the renormalized state vector of a scalar ``nucleon'' in a truncated Fock space containing the N, N\ensuremathπ and N\ensuremathπ\ensuremathπ sectors. The model gives a simple example of nonperturbative renormalization that is carried out numerically. Though the mass renormalization \ensuremathδm2 diverges logarithmically with increasing cutoff L, the Fock components of the ``physical'' nucleon are stable when \stackrel\ensuremath→L\ensuremath∞.