Relativistic model of Hamiltonian renormalization for bound states and scattering amplitudes

Abstract

We test the renormalization group procedure for effective particles (RGPEP) on a model of fermion-scalar interaction based on the Yukawa theory. The model is obtained by truncating the Yukawa theory to just two Fock sectors in the Dirac front form of Hamiltonian dynamics, a fermion, and a fermion and a boson, for the purpose of simple analytic calculation that exhibits steps of the procedure.

7 pages

References in corpus (2)

• Perturbative formulae for relativistic interactions of effective particles
• From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles