Ultraviolet Limit of Open String Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, LaTeX. Note added (Jan 2005): comments and related refs

Scientific paper

10.1088/1126-6708/1999/08/003

We confirm the intuition that a string theory which is perturbatively infrared finite is automatically perturbatively ultraviolet finite. Our derivation based on the asymptotics of the Selberg trace formula for the Greens function on a Riemann surface holds for both open and closed string amplitudes and is independent of modular invariance and supersymmetry. The mass scale for the open strings stretched between Dbranes suggests a natural world-sheet ultraviolet regulator in the string path integral, preserving both T-duality and open-closed string world-sheet duality. Note added (Jan 2005): Comments and related references added.

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