Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-18
Central Eur.J.Phys.8:527-541,2010
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 1 figure; v2: revised version; v3: section 3 improved. Accepted for publication in Central European Journal of Physi
Scientific paper
10.2478/s11534-009-0139-0
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.
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