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Radiative corrections are treated in all textbooks and many of the original articles are reproduced in Schwinger's "Quantum Electrodynamics," Dover, New York, 1958, already quoted. Let us give a short list. Subjects covered are as follows: gauge-invariant regularization in W. Pauli and F. Villars, Rev. Mod. Phys., vol. 21, p. 434, 1949; vacuum polarization, limit k 2 --+ 0, in E. A. Uehling, Phys. Rev., vol. 48, p. 55, 1935; complete treatment in J. Schwinger, Phys. Rev., vol. 75, p. 651, 1949; Ward identities in J. C. Ward, Phys. Rev., vol. 78, p. 182, 1950, and Y. Takahashi, Nuovo Cim., vol. 6, p. 371, 1957; electron anomaly to order rx in J. Schwinger, ~hys. Rev., vol. 73, p. 416, 1948; and electron form factors to order rx in R. P. Feynman, Phys. Rev., vol. 76, p. 769, 1949. Work in the 1960s on higher-order corrections is reviewed in the report of B. Lautrup, A. Peterman, and E. de Rafael, Physics Reports, vol. 3C, p. 193, 1972. The most recent theoretical value quoted in the text comes from the work of P. Cvitanovic and T. Kinoshita, Phys. Rev., ser. D, vol. 10, p. 4007, 1974. A large number of theorists have also contributed to this effort. The astonishingly accurate experimental value is due to R. S. Van Dyck, P. B. Schwinberg, and H. G. Dehmelt, Phys. Rev. Lett., vol. 38, p. 310, 1977. The experimental value of the muon anomaly has been taken from the work of J. Bailey, K. Borer, F. Combley, H. Drumm, F. Farley, J. Field, W. Flegel, P. Hattersley, F. Krienen, F. Lange, E. Picasso, and W. Von Riiden, Phys. Lett., vol. 68B, p. 191, 1977, and the theoretical prediction from the review of J. Calmet, S. Narison, M. Perrottet, and E. de Rafael, Rev. Mod. Phys., vol. 49, p. 21, 1977. The original treatment of radiative corrections to Coulomb scattering is due to J. Schwinger, Phys. Rev., vol. 75, p. 1912, 1949. We follow in part the presentation in the book by A. 1. Akhiezer and V. B. Berestetskii, "Quantum Electrodynamics," Interscience Publishers, New York, 1965, which is extremely rich in detailed calculations. For infrared divergences we remind the reader of the work of D. Yennie, S. Frautschi, and H. Suura quoted in Chap. 4. As for
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the Lamb shift the general aspects of hydrogenic atomic systems are covered in H. A. Bethe and E. Sal peter, "Quantum Mechanics of One and Two Electron Atoms," Springer-Verlag, Berlin, 1957. The crucial experimental evidence comes from the experiment of W. E. Lamb and R. C. Retherford, Phys. Rev., vol. 72, p. 241, 1947. A more refined measurement in the 1950s is due to S. Triebwasser, E. S. Dayhoff, and W. E. Lamb, Phys. Rev., vol. 89, p. 98, 1953. The recent values quoted in the text are from S. R. Lundeen and F. M. Pipkin, Phys. Rev. Lett., vol. 34, p. 1368, 1975, and D. A. Andrews and G. Newton, Phys. Rev. Lett., vol. 37, p. 1254, 1976. The early theoretical contributions are those of H. A. Bethe, Phys. Rev., vol. 72, p. 339, 1947, for the nonrelativistic part, and of N. M. Kroll and W. E. Lamb, Phys. Rev., vol. 75, p. 388, 1949, and J. B. French and V. F. Weisskopf, Phys. Rev., vol. 75, p. 1240, 1949, for the relativistic one. For a consistent theory of the effect to all orders see, for instance, G. W. Erickson and D. R. Yennie, Annals of Physics, vol. 35, pp. 271 and 447, 1965. The theoretical prediction has been taken from the work of G. W. Erickson, Phys. Rev. Lett., vol. 27, p. 780, 1971, and P. J. Mohr, Phys. Rev. Lett., vol. 34, p. 1050, 1975. For a recent estimate of the accuracy achieved in these higher-order computations one may consult the review by T. Kinoshita in "Perspective of Quantum Physics," published by Iwanami Shoten, Tokyo. Needless to say, the previous short list of references does not do any justice to the enormous and beautiful experimental and theoretical work in quantum electrodynamics.
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