S-matrix calculus using effective particles in the Fock space

Marek Wieckowski

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arXiv · hep-th/0511148

S-matrix calculus using effective particles in the Fock space

Marek Wieckowski

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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 $H^Δ$ 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 $λ$.

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Marek Wieckowski. 2005-11-14. S-matrix calculus using effective particles in the Fock space. https://arxiv.org/abs/hep-th/0511148

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