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

  • Research Article
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Central European Journal of Physics

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.

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Authors and Affiliations

  1. International School for Advanced Studies (SISSA), Via Beirut 2-4, 34014, Trieste, Italy

    Gábor Zsolt Tóth

  2. INFN, Sezione di Trieste, Trieste, Italy

    Gábor Zsolt Tóth

  3. Research Institute for Particle and Nuclear Physics, Hungarian Academy of Sciences, Pf. 49, 1525, Budapest, Hungary

    Gábor Zsolt Tóth

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  1. Gábor Zsolt Tóth
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Correspondence to Gábor Zsolt Tóth.

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Tóth, G.Z. Proposal to improve the behaviour of self-energy contributions to the S-matrix. centr.eur.j.phys. 8, 527–541 (2010). https://doi.org/10.2478/s11534-009-0139-0

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  • DOI: https://doi.org/10.2478/s11534-009-0139-0

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