Dual resonance model
Template:Short description Template:Sidebar with collapsible lists In theoretical physics, a dual resonance model arose during the early investigation (1968–1973) of string theory as an S-matrix theory of the strong interaction.
Overview
The dual resonance model was based upon the observation that the amplitudes for the s-channel scatterings matched exactly with the amplitudes for the t-channel scatterings among mesons and also the Regge trajectory. It began with the Euler beta function model of Gabriele Veneziano in 1968 for a 4-particle amplitude which has the property that it is explicitly s–t crossing symmetric, exhibits duality between the description in terms of Regge poles or of resonances, and provides a closed-form solution to non-linear finite-energy sum rules relating s- and t- channels.
The Veneziano formula was quickly generalized to an equally consistent N-particle amplitude[1] for which Yoichiro Nambu,[2] Holger Bech Nielsen,[3] and Leonard Susskind[4] provided a physical interpretation in terms of an infinite number of simple harmonic oscillators describing the motion of an extended one-dimensional string, hence came the name "string theory."
The study of dual resonance models was a relatively popular subject of study between 1968 and 1973.[5] It was even taught briefly as a graduate level course at MIT, by Sergio Fubini and Veneziano, who co-authored an early article.[6] It fell rapidly out of favor around 1973 when quantum chromodynamics became the main focus of theoretical research[7] (mainly due to the theoretical appeal of its asymptotic freedom).[8]
See also
Notes
References
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Further reading
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- ↑ Nambu, Y. (1970). "Quark model and the factorization of the Veneziano amplitude." In R. Chand (ed.), Symmetries and quark models (pp. 269–277). Singapore: World Scientific.
- ↑ Nielsen, H. B. "An almost physical interpretation of the dual N point function." Nordita preprint (1969); unpublished.
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- ↑ Rickles 2014, pp. 5–6, 44.
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- ↑ Rickles 2014, p. 77.
- ↑ Rickles 2014, p. 11 n. 22.