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18 - The ‘3-Reggeon vertex’

from Part III - The Dual Resonance Model

Published online by Cambridge University Press:  05 May 2012

Stefano Sciuto
Affiliation:
Università di Torino
Andrea Cappelli
Affiliation:
Istituto Nazionale di Fisica Nucleare (INFN), Florence
Elena Castellani
Affiliation:
Università degli Studi di Firenze, Italy
Filippo Colomo
Affiliation:
Istituto Nazionale di Fisica Nucleare (INFN), Florence
Paolo Di Vecchia
Affiliation:
Niels Bohr Institutet, Copenhagen and Nordita, Stockholm
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Summary

The year 1968 was quite remarkable also in science: it was the year of the Veneziano formula, a real breakthrough towards new horizons in theoretical physics.

In July 1968 in Turin we heard a seminar by Gabriele Veneziano who came to submit his beta function amplitude to the attention of Sergio Fubini, an opinion leader in the theory of strong interactions after his works on current algebra (the p→∞ method, with G. Furlan) and on superconvergence (with V. De Alfaro, G. Furlan and C. Rossetti). Fubini encouraged Veneziano to publish his paper, which soon appeared [Ven68] in Nuovo Cimento (at that time the most important journal in high energy physics in Europe) and invited the young physicists in Turin to look at this promising model.

Actually my interest increased when the generalization of the Veneziano amplitude to N points was proposed by K. Bardakci, H. Ruegg, M. A. Virasoro, H.M. Chan, S. T. Tsou, C. J. Goebel, B. Sakita, Z. Koba and H. B. Nielsen. I was fascinated by the elegance of the ‘duality rules’: the poles in the various channels were exhibited by simple changes of integration variables, dictated by (elementary) geometry.

My enthusiasm burst in the spring of 1969, when Miguel Virasoro gave a seminar in Turin on his work with Keiji Kikkawa and Bunji Sakita [KSV69]: up to some (crucial) factors, the structure of the multiloop amplitudes was simply dictated by consistency with the duality rules.

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Publisher: Cambridge University Press
Print publication year: 2012

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