Abstract
We develop here the general treatment of the Bethe—Salpeter equation for the bound state of two spin-l particles interacting through an electromagnetic interaction. The treatment here, which can be generalized to strong interactions, combines the two-component approach utilized previously by the author in conjunction with spontaneous symmetry breaking. This is done by using a Lagrangian having SU(2)×U(1) symmetry (without fermions) and then choosing the ′t Hooft gauge. In this way, a renormalizable theory for the interaction of two spin-l particles via an electromagnetic interaction is ensured.
Similar content being viewed by others
References
A. Proca,C. R. Acad. Sci. (Paris) 202, 1420 (1936).
L. Ryder,Quantum Field Theory (Cambridge University Press, Cambridge, 1985).
R. J. Duffin,Phys. Rev. 54, 1114 (1938); N. Kemmer,Proc. R. Soc. London 166, 127 (1938).Proc. R. Soc. London A 173, 91 (1939).
Where it is relevant, we follow the notation and treatment of K. Huang,Quarks, Leptons, and Gauge Fields (World Scientific, Singapore, 1992).
D. A. Owen,Phys. Rev. D 42, 3534 (1990).
M. Halpert and D. A. Owen,J. Phys. G 20, 51 (1994).
D. A. Oven,Found. Phys. 24, 273 (1994).
E. Salpeter and H. Bethe,Phys. Rev. 84, 1232 (1951); J. Schwinger,Proc. Natl. Acad. Sci. USA 37, 452 (1952); M. Gell-Mann and F. Low,Phys. Rev. 84, 350 (1951).
J. Bjorken and S. Drell,Relativistic Quantum Fields (McGraw Hill, New York, 1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Owen, D.A. The Bethe-Salpeter equation for spin-1 particles. Found Phys 27, 57–66 (1997). https://doi.org/10.1007/BF02550155
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02550155