S-matrix calculus using effective particles in the Fock space
Abstract
Description
This article describes a method for calculating S-matrix elements using Hamiltonians obtained in the renormalization group procedure for effective particles. It is shown that the scattering amplitudes obtained using a canonical Hamiltonian $H^Δ$ with counterterms are the same as those obtained using a renormalized Hamiltonian for effective particles, $H_λ$. The result is independent of the ultraviolet cutoff $Δ$ and the renormalization-group parameter $λ$.
4 pages
4 pages