On the adelic string amplitudes |
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| Institution: | 1. Atmospheric Physics Section, Department of Geoscience & Remote Sensing, Faculty of Civil Engineering and Geotechnology, Delft University of Technology, Stevinweg 1, 2628CN Delft, The Netherlands;2. Transport Phenomena Section, Department of Chemical Engineering, Faculty of Applied Sciences, Delft University of Technology, Julianalaan 136, 2628BL, The Netherlands;3. J.M. Burgers Centre for Fluid Dynamics, Julianalaan 136, 2628BL, The Netherlands |
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| Abstract: | Some remarkable properties of the adelic string amplitudes for the physical domain of the Mandelstam variables are considered. It is shown that the p-adic four-point functions are always negative. Also, a formula is obtained which expresses the product of moduli of the p-adic amplitudes and the Veneziano amplitude in terms of the zeta functions. This product is absolutely convergent unlike the divergent product of these amplitudes without moduli, recently considered by Freund and Witten. Using the zeta function representation, p-adic interpolation of the Veneziano amplitude is also considered. |
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