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Open Physics

formerly Central European Journal of Physics

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Volume 8, Issue 4 (Aug 2010)


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

Gábor Tóth
  • International School for Advanced Studies (SISSA), Via Beirut 2-4, 34014, Trieste, Italy
  • INFN, Sezione di Trieste, Trieste, Italy
  • Research Institute for Particle and Nuclear Physics, Hungarian Academy of Sciences, Pf. 49, 1525, Budapest, Hungary
  • Email:
Published Online: 2010-05-22 | DOI: https://doi.org/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.

Keywords: scattering theory; S-matrix; self-energy corrections; adiabatic switching

PACS: 03.65.Nk; 03.70.+k; 11.80.-m

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About the article

Published Online: 2010-05-22

Published in Print: 2010-08-01

Citation Information: Open Physics, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-009-0139-0. Export Citation

© 2009 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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