No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Spectral Representation of the Covariant Two‐Point Function and Infinite‐Component Fields with Arbitrary Mass Spectrum
1.S. Kamefuchi and H. Umezawa, Progr. Theoret. Phys. (Kyoto) 6, 543 (1951);
1.G. Källén, Helv. Phys. Acta 25, 417 (1952);
1.H. Lehmann, Nuovo Cimento 11, 342 (1954);
1.O. Steinmann, J. Math. Phys. 4, 583 (1963).
2.I. Rasziller and D. H. Schiller, Nuovo Cimento A48, 617, 635 (1967).
3.I. M. Gel’fand, M. I. Graev, and N. Ya. Vilenkin, Generalized Functions, Vol. 5: Integral Geometry and Representation Theory (Academic Press Inc., New York, 1966);
3.Generalized Functions, Properties and Operations (Academic Press Inc., New York, 1964), Appendix B.
4.D. Tz. Stoyanov and I. T. Todorov, J. Math. Phys. 9, 2146 (1968).
5.R. Jost, Helv. Phys. Acta 30, 409 (1957);
5.see also R. F. Streater and A. S. Wightman, PCT, Spin and Statistics and All That (W. A. Benjamin and Co., New York, 1964).
6.A. I. Oksak and I. T. Todorov, Commun. Math. Phys. 11, 125 (1968).
7.We are using the notation of I. M. Gel’fand, R. A. Minlos, and Z. Ya. Shapiro [Representations of the Rotation and Lorentz Group and Their Applications (Pergamon Press Ltd., London, 1963)] for the irreducible representations of
7.M. A. Naimark [Linear representations of the Lorentz Group (Pergamon Press Ltd., London, 1964)], denotes them by
8.Dao Vong Dye and Nguyen Van Hieu, Yad. Fiz. 6, 186 (1967)
8.[Dao Vong Dye and Nguyen Van Hieu, Sov. J. Nucl. Phys. 6, 137 (1968)].
9.Actually, this requirement is not independent. We shall prove elsewhere that it follows rigorously from the invariance assumption.
10.N. N. Bogoliubov and V. S. Vladimirov, Nauchn. Dokl. Vyschei Shkoly, Fiz. Mat. Nauk. 1, No. 3, 26 (1958);
10.N. N. Bogoliubov and V. S. Vladimirov, 2, No. 2, 179 (1959).
11.I. T. Grodsky and R. F. Streater, Phys. Rev. Letters 20, 695 (1968);
11.see also H. D. I. Abarbanel and Y. Frishman, Phys. Rev. 171, 1442 (1968), where a similar conclusion has been drawn.
12.A. M. Jaffe, Phys. Rev. 158, 1454 (1967).
Article metrics loading...
Full text loading...