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2010 | 8 | 4 | 527-541
Tytuł artykułu

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

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Wydawca

Czasopismo
Rocznik
Tom
8
Numer
4
Strony
527-541
Opis fizyczny
Daty
wydano
2010-08-01
online
2010-05-22
Bibliografia
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  • [7] S. Weinberg, The quantum theory of fields I (Cambridge University Press, Cambridge, New York, 1995-2000)
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  • [10] D. Iagolnitzer, Scattering in quantum field theories: the axiomatic and constructive approaches (Princeton University Press, Princeton, 1993)
  • [11] J. R. Taylor, Scattering theory: the quantum theory on nonrelativistic collisions (Wiley, New York, 1972)
  • [12] R. Newton, Scattering theory of waves and particles, 2nd ed. (Springer-Verlag, Berlin, 1982)
  • [13] M. Gell-Mann, M. L. Goldberger, Phys. Rev. 91, 398 (1953) http://dx.doi.org/10.1103/PhysRev.91.398[Crossref]
  • [14] J. Pirenne, Helv. Phys. Acta 21, 226 (1948)
  • [15] J. Pirenne, Phys. Rev. 86, 395 (1952) http://dx.doi.org/10.1103/PhysRev.86.395[Crossref]
  • [16] G. Delfino, G. Mussardo, P. Simonetti, Nucl. Phys. B 473, 469 (1996) http://dx.doi.org/10.1016/0550-3213(96)00265-9[Crossref]
  • [17] F. Schwabl, Quantum mechanics, 2nd ed. (Springer-Verlag, Berlin, 1995)
  • [18] G. Delfino, G. Mussardo, P. Simonetti, Nucl. Phys. B 432, 518 (1994) http://dx.doi.org/10.1016/0550-3213(94)90032-9[Crossref]
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0139-0
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