
doi: 10.1007/bf01218486
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 analyze 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.
Applications of global analysis to the sciences, 83E30, degeneration of Riemann surface, Quantum field theory; related classical field theories, scattering of massless particles, 81E99, 81E30, heterotic superstring
Applications of global analysis to the sciences, 83E30, degeneration of Riemann surface, Quantum field theory; related classical field theories, scattering of massless particles, 81E99, 81E30, heterotic superstring
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