Veneziano and Shapiro-Virasoro amplitudes of arbitrarily excited strings
Maurizio Firrotta
Abstract
A bstract We extend the Veneziano and Shapiro-Virasoro amplitudes to four arbitrarily excited states in bosonic string theory. We use the formalism of coherent string states based on the Di Vecchia-Del Giudice-Fubini construction. Within the same formalism, we also analyze the three string scattering finding the covariant version of the three reggeon interaction. Then studying the factorization properties of the extended four string scattering amplitudes we identify the covariant version of the three string interaction. Finally we obtain generalized Kawai-Lewellen-Tye relations connecting the scattering of four open and closed arbitrarily excited states.
Topics & Concepts
AmplitudePhysicsExcited stateQuantum electrodynamicsVirasoro algebraMathematical physicsMathematicsPure mathematicsAlgebra over a fieldQuantum mechanicsAlgebra representationCellular algebraBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum chaos and dynamical systems