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Chaos in a Many-String Scattering Amplitude
1Initiative for the Theoretical Sciences, The Graduate Center, City University of New York 365 Fifth Avenue, New York, New York 10016, USA.
Abstract:
String theory provides a compact integral expression for the tree-level scattering amplitude of an arbitrary number of light strings. We focus on amplitudes involving a few tachyons and many photons, with a special choice of polarizations and kinematics. We pick out a particular pole in the amplitude-one corresponding to successive photon scatterings, which lead to an intermediate state with a highly excited string in a definite state. This provides a physical process that creates a highly excited string. The observed erratic behavior of the amplitude suggests that this may serve as a simple and explicit illustration of chaos in many-particle scattering.
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