Abstract
The electromagnetic interactions of hadrons are considered in a model in which both the hadrons and the photons are spinless. The perturbation theory of this model is developed in a way which takes the strong interactions rigorously into account. An expression for the second-order electromagnetic mass shifts of the hadrons is derived. The customary formula expressing these mass shifts as integrals over the Compton scattering amplitude is shown to be inaccurate. The correct expression differs from the old one by a changed integration contour. In favourable cases the two expressions coincide if the integrations over the four components of the photon momentum are carried out in a certain order. This order of integration must in general not be changed.
Similar content being viewed by others
References
Bjorken, J. D.: Phys. Rev.148, 1467 (1966).
Brandt, R., and J. Sucher: Phys. Rev.177, 2218 (1969).
Cini, M., E. Ferrari, and R. Gatto: Phys. Rev. Letters2, 7 (1959).
Barger, V., and E. Kazes: Nuovo Cimento28, 385, 394 (1963).
Riazuddin and Fayyazuddin: Phys. Rev.158, 1447 (1967).
—— Phys. Rev.114, 1184 (1959).
Theis, W. R.: Nucl. Phys.21, 170 (1960).
Nishijima, K.: Phys. Rev.119, 485 (1960).
Steinmann, O.: Ann. Phys. (N. Y.)29, 76 (1964);36, 267 (1966).
Streater, R. F., and A. S. Wightman: PCT, spin and statistics and all that. New York: W. A. Benjamin, Inc. 1964.
Jost, R.: The general theory of quantized fields. Am. Math. Soc., Providence 1965.
Steinmann, O.: Commun. Math. Phys.10, 245 (1968).
Glaser, V., H. Lehmann, and W. Zimmermann: Nuovo Cimento6, 1122 (1957).
Ruelle, D.: Nuovo Cimento19, 356 (1961).
Araki, H.: J. Math. Phys.2, 163 (1961).
Epstein, H.: In: Axiomatic field theory, ed. by M. Chrétien and S. Deser. New York: Gordon & Breach 1966.
Borchers, H. J.: Nuovo Cimento15, 784 (1960).
Zimmermann, W.: Commun. Math. Phys.6, 161 (1967).
—— Nuovo Cimento13, 503 (1959);16, 690 (1960).
Hepp, K.: Commun. Math. Phys.1, 95 (1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Steinmann, O. Electromagnetic mass shifts in non-Lagrangian field theory. Commun.Math. Phys. 15, 133–155 (1969). https://doi.org/10.1007/BF01645375
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01645375