Nonperturbative renormalization in a scalar model within Light-Front Dynamics

Details Nonperturbative renormalization in a scalar model within Light-Front Dynamics Nonperturbative renormalization in a scalar model within Light-Front Dynamics

2001-09-27

arxiv.org/abs/hep-th/0109208v1

Phys.Rev.D65:025016,2002

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 5 figures

Scientific paper

10.1103/PhysRevD.65.025016

Within the covariant formulation of Light-Front Dynamics, in a scalar model with the interaction Hamiltonian $H=-g\psi^{2}(x)\phi(x)$, we calculate nonperturbatively the renormalized state vector of a scalar "nucleon" in a truncated Fock space containing the $N$, $N\pi$ and $N\pi\pi$ sectors. The model gives a simple example of non-perturbative renormalization which is carried out numerically. Though the mass renormalization $\delta m^2$ diverges logarithmically with the cutoff $L$, the Fock components of the "physical" nucleon are stable when $L\to\infty$.

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