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DYSON 1949B

Dyson, F.J.;
The S-Matrix in Quantum Electrodynamics
Phys. Rev. 75 (1949) 1736;

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Reprinted in
The Physical Review - the First Hundred Years, AIP Press (1995) CD-ROM.
Selected Papers on Quantum Electrodynamics, editor J. Schwinger, Dover Publications, Inc., New York (1958) 292.

Abstracts
The covariant quantum electrodynamics of Tomonaga, Schwinger, and Feynman is used as the basis for a general treatment of scattering problems involving electrons, positrons, and photons. Scattering processes, including the creation and annihilation of particles, are completely described by the S-matrix of Heisenberg. It is shown that the elements of this matrix can be calculated, by a consistent use of perturbation theory, to any desired order in the fine-structure constant. Detailed rules are given for carrying out such calculations, and it is shown that divergencies arising from higher order radiative corrections can be removed from the S-matrix by a consistent use of the ideas of mass and charge renormalization.
Not considered in this paper are the problems of extending the treatment to include bound-state phenomena, and of proving the convergence of the theory as the order of perturbation itself tends to infinity.

Related references
More (earlier) information appears in
F. J. Dyson, Phys. Rev. 75 (1949) 486;
See also
H. W. Lewis, Phys. Rev. 73 (1948) 173;
E. C. G. Stückelberg and D. Rivier, Phys. Rev. 74 (1948) 218;
W. H. Furry, Phys. Rev. 51 (1937) 125;
Analyse data from
S. Tomonaga, Phys. Rev. 74 (1948) 224;
Ito, Z. Koba, and S. Tomonaga, Progr. of Theor. Phys. 3 (1948) 276;
Z. Koba and S. Tomonaga, Progr. of Theor. Phys. 3 (1948) 290;
J. Schwinger, Phys. Rev. 73 (1948) 416;
J. Schwinger, Phys. Rev. 74 (1948) 1439;
J. Schwinger, Phys. Rev. 75 (1949) 651;
R. P. Feynman, Phys. Rev. 74 (1948) 1430;
S. Kanesawa and S. Tomonaga, Progr. of Theor. Phys. 3 (1948) 101;
S. Kanesawa and S. Tomonaga, Progr. of Theor. Phys. 3 (1948) 1;
Z. Koba, T. Tati, and S. Tomonaga, Progr. of Theor. Phys. 2 (1947) 198;
Z. Koba, T. Tati, and S. Tomonaga, Progr. of Theor. Phys. 2 (1947) 101;
S. Tomonaga, Progr. of Theor. Phys. 1 (1946) 27;