S-matrix calculus using effective particles in the Fock space

Details S-matrix calculus using effective particles in the Fock space S-matrix calculus using effective particles in the Fock space

2005-11-14

arxiv.org/abs/hep-th/0511148v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

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 $H^\Delta$ with counterterms are the same as those obtained using a renormalized Hamiltonian for effective particles, $H_\lambda$. The result is independent of the ultraviolet cutoff $\Delta$ and the renormalization-group parameter $\lambda$.

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