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arXiv · 2207.08855

Properties of infinite product amplitudes: Veneziano, Virasoro, and Coon

Nicholas Geiser·Lukas W. Lindwasser
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Abstract

We detail the properties of the Veneziano, Virasoro, and Coon amplitudes. These tree-level four-point scattering amplitudes may be written as infinite products with an infinite sequence of simple poles. Our approach for the Coon amplitude uses the mathematical theory of $q$-analysis. We interpret the Coon amplitude as a $q$-deformation of the Veneziano amplitude for all $q \geq 0$ and discover a new transcendental structure in its low-energy expansion. We show that there is no analogous $q$-deformation of the Virasoro amplitude.

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Nicholas Geiser, Lukas W. Lindwasser. 2022-07-18. Properties of infinite product amplitudes: Veneziano, Virasoro, and Coon. https://doi.org/10.1007/jhep12(2022)112

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