Communications in Mathematical Physics

, Volume 112, Issue 3, pp 447–470 | Cite as

Absence of divergences in type II and heterotic string multi-loop amplitudes

  • A. Restuccia
  • J. G. Taylor


A detailed analysis is given of the two main types of degeneration of Riemann surface of arbitrary genus by domain variational theory. Explicit estimates for first and third Abelian functions are given. These estimates are used to analyse the possible divergences of type II or heterotic superstring multiloop amplitudes for the scattering of massless particles. They are all shown to be finite at arbitrary loop order.


Neural Network Statistical Physic Detailed Analysis Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • A. Restuccia
    • 1
  • J. G. Taylor
    • 2
  1. 1.Department of PhysicsSimon Bolivar UniversityCaracas
  2. 2.Department of MathematicsKing's College LondonLondonUnited Kingdom

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