Summary
A rigorous proof is given of the existence of the photon zero-mass limit in renormalized QED in Euclidean space, with nonexceptional external momenta, of the electron and photon self-energy graphs and the vertex part. The photon propagator is written in the Feynman gauge and the subtractions of renormalization are carried out about the origin in momentum space directly on the Feynman integrands. A key point in the existence of this limit is that QED does not contain proper and connected graphs composed solely of photon lines.
Similar content being viewed by others
Reference
E. B. Manoukian:Phys. Rev. D,14, 966, 2202 (E) (1976);Nuovo Cimento A,67, 101 (1982).
J. Schwinger:Proc. Nat. Acad. Sci., U.S.A.,37, 452 (1931);Phys. Rev.,94, 713. 728 (1953);K. Johnson: InLectures on Particles and Field Theory, Vol.2 (Prentice-Hall, Englewood Cliffs, N. J., 1965).
E. B. Manoukian:Treatment of closed fermion loops in quantum electrodynamics, inActa Phys. Pol. (1984), to be published.
E. B. Manoukian:On the absence of logarithmic growths in mass parameters in renormalized perturbation theory, R.M.C. preprint.
S. Weinberg:Phys. Rev.,118, 838 (1960).
E. B. Manoukian:J. Phys. G,7, 1149 (1981).
J. P. Fink:J. Math. Phys. (N. Y.),9, 1389 (1968;E. B. Manoukian:J. Math. Phys. (N. Y.),49, 917 (1978),21, 1218 (1980), For other relevant problems (in the α-parameter representation, however) see alsoM. C. Bergère de Calan andA. P. C. Malbouisson;Commun. Math. Phys.,62, 137 (1978).
Author information
Authors and Affiliations
Additional information
Work supported by the Department of National Defence Award under CRAD, No. 3610-637:F4122.
Rights and permissions
About this article
Cite this article
Manoukian, E.B. On the existence of the photon zero-mass limit in renormalized QED in Euclidean space. Lett. Nuovo Cimento 41, 449–452 (1984). https://doi.org/10.1007/BF02748382
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02748382