Summary
The purpose of this paper is to clarify the origin of the projective invariance in dual-resonance models in terms of the Lorentz group. We find that the assignment of external particles to irreducible representations ofSL 2,C and the requirement that this group be an invariant group of the amplitude together with some physical requirements lead to the fully symmetric model proposed by Shapiro and Virasoro. Only the value α(0)=2 for the trajectory intercept is possible.
Riassunto
Lo scopo di questo lavoro è di indagare l'origine dell'invarianza proiettiva nei modelli duali in termini del gruppo di Lorentz. Noi troviamo che la richiesta che il gruppoSL 2,C che classifica gli stati sia in gruppo di invarianza per l'ampiezza insieme ad altre richieste fisiche porta al modello completamente simmetrico proposto da Shapiro-Virasoro. Il solo valore permesso per l'intercetta della traiettoria è α(0)=2.
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Musto, R., Nicodemi, F., Paciello, M.L. et al. Fully-symmetric dual models and Lorentz invariance. Nuov Cim A 7, 407–416 (1972). https://doi.org/10.1007/BF02832838
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DOI: https://doi.org/10.1007/BF02832838