On unitarity of the Coon amplitude
Rishabh Bhardwaj, Shounak De, Marcus Spradlin, Anastasia Volovich
Abstract
A bstract The Coon amplitude is a one-parameter deformation of the Veneziano amplitude. We explore the unitarity of the Coon amplitude through its partial wave expansion using tools from q -calculus. Our analysis establishes manifest positivity on the leading and sub-leading Regge trajectories in arbitrary spacetime dimensions D , while revealing a violation of unitarity in a certain region of ( q , D ) parameter space starting at the sub-sub-leading Regge order. A combination of numerical studies and analytic arguments allows us to argue for the manifest positivity of the partial wave coefficients in fixed spin and Regge asymptotics.
Topics & Concepts
UnitarityAmplitudeMathematical physicsPhysicsSpace (punctuation)Scattering amplitudeSpacetimeOrder (exchange)Classical mechanicsTheoretical physicsQuantum mechanicsPhilosophyEconomicsLinguisticsFinanceBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions