Summing All the Eikonal Graphs
During the past year there has been some progress in al old problem of eikonal physics, that of estimating the high-energy contributions of all eikonal pionization graphs (tower plus non- planar) in some relevant Lagrangian field theory. Since so much material has already been presented concerning non-Abelian physics at this Summer Institute, and partly to remind us that much high- energy phenomenology is still couched in the language of non-non- Abelian theories, I will try to present a very brief description of this recent work1). There is also a personal reason for this choice: at Cargèse, five years ago, I presented a critique of the then-fashionable Cheng-Wu “explanation” of rising total cross sections2); and now it is most satisfying to be more constructive, to point out in the context of an approximate, semi-classical type of computation that sums over all eikonal graphs, which features of their calculation remain and which must be changed.
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- 1).H. Moreno and H.N. Fried, Nice Preprint NTH 77/5.Google Scholar
- 3).Rather extensive discussions and applications of the fundamental Bloch-Nordsieck approximation may be found in: H.M. FRIED, “Functional Methods and Models in Quantum Field Theory”, M.I.T. Press, Cambridge (1972).Google Scholar