, Volume 8, Issue 4, pp 527-541
Date: 05 Oct 2009

Proposal to improve the behaviour of self-energy contributions to the S-matrix

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Abstract

A simple modification of the definition of the S-matrix is proposed. It is expected that the divergences related to nonzero self-energies are considerably milder with the modified definition than with the usual one. This conjecture is verified in a few examples using perturbation theory. The proposed formula is written in terms of the total Hamiltonian operator and a free Hamiltonian operator and is therefore applicable in any case when these Hamiltonian operators are known.