S-matrix calculus using effective particles in the Fock space
Abstract
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 with counterterms are the same as those obtained using a renormalized Hamiltonian for effective particles, Hλ. The result is independent of the ultraviolet cutoff and the renormalization-group parameter λ.
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