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.
Acnodes and Cusps on Landau Curves
1.P. V. Landshoff, J. C. Polkinghorne, and J. C. Taylor, Nuovo Cimento 19, 939 (1961);
1.R. J. Eden, Phys. Rev. 121, 1567 (1961).
2.R. J. Eden, P. V. Landshoff, J. C. Polkinghorne, and J. C. Taylor, Phys. Rev. 122, 307 (1961).
3.See, for example, H. Hilton, Plane Algebraic Curves (Oxford University Press, New York, 1920).
4.R. Eden, C. Enz, and J. Lascoux, Bull. Am. Phys. Soc. 5, 284 (1960);
4.V. A. Kolkunov, L. B. Okun, and A. P. Rudik, Soviet Phys.‐JETP 11, 634 (1960);
4.G. Wanders, Nuovo Cimento 18, 580 (1960).
5.It should perhaps be remarked that these complications are not related to the observations of N. Nakanishi (Kyoto preprint), who has not made use of the crucial property that the Landau curve is asymptotic to the normal thresholds.
6.L. D. Landau, Nuclear Phys. 13, 181 (1959).
7.J. C. Polkinghorne and G. R. Screaton, Nuovo Cimento 15, 289 and (1960).
8.J. C. Taylor, Phys. Rev. 117, 261 (1960);
8.P. V. Landshoff, Nuclear Phys. 20, 129 (1960);
8.L. B. Okun’ and A. P. Rudik, Nuclear Phys. 15, 261 (1960).
9.K. Symanzik, Prog. Theoret. Phys. (Kyoto) 20, 690 (1958);
9.J. D. Bjorken, Stanford preprint (1959);
9.R. J. Eden, Phys. Rev. 119, 1763 (1960).
10.There are other parts of the curve for which the dual diagram does not have these symmetry properties. These may include arcs of virtual singularity and may provide a portion of the boundary of the support of the spectral function when the Mandelstam representation holds, but this is not known.
11.Compare a discussion of a curve very similar to that of Fig. 2 by F. Klein, Math. Ann. 10, 365 (1876).
11.We are grateful to Mr. F. P. White for drawing our attention to this paper.
12.We are grateful to Mr. P. Swinnerton‐Dyer and Mr. C. Paradine who performed computations for us on EDSAC II in connection with this problem.
13.See, for example, A. S. Wightman, Les Houches lectures, 1960 (to be published).
14.This node may become a crunode on another part of the Landau curve.
Article metrics loading...
Full text loading...