Properties of infinite product amplitudes: Veneziano, Virasoro, and Coon
Nicholas Geiser, Lukas W. Lindwasser
Abstract
A bstract 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 ≥ 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.
Topics & Concepts
PhysicsAmplitudeScattering amplitudeMathematical physicsTranscendental functionQuantum electrodynamicsQuantum mechanicsMathematical analysisMathematicsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesAlgebraic structures and combinatorial models