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

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arxiv 2207.08855 v2 pith:B5UEOHT6 submitted 2022-07-18 hep-th

Nicholas Geiser , Lukas W. Lindwasser This is my paper · ORCID
classification hep-th
keywords amplitudecoonamplitudesinfinitevenezianovirasorodeformationproperties
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Strings from Almost Nothing

    hep-th 2025-08 conditional novelty 7.0 of 10

    Ultrasoft, minimally structured scattering amplitudes are forced onto the Veneziano and Virasoro-Shapiro amplitudes of string theory.

  2. A glimpse into the Ultrametric spectrum

    hep-th 2026-01 conditional novelty 6.0 of 10

    Quantum oscillators with energies from the Vladimirov derivative on the p-adic unit circle — exponentially spaced and exponentially degenerate — give string-like square-root-of-energy entropy, modulated by log-periodi...

  3. Worldsheet for Generalized Veneziano Amplitudes

    hep-th 2025-11 conditional novelty 6.0 of 10

    A chiral composite linear dilaton worldsheet action reproduces Mandelstam's generalized Veneziano amplitudes and yields new partially crossing-symmetric higher-point and closed-string amplitudes.

  4. Analytic bootstrap bounds on masses and spins in gravitational and non-gravitational scalar theories

    hep-th 2024-12 reject novelty 6.0 of 10

    The authors derive 'Sequential Spin and Mass Constraints' for su-symmetric and stu-symmetric four-point amplitudes, claiming any weakly-coupled spectrum must have ordered spins and bounded mass ratios.

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