Momumentum Analyticity and Finiteness of Compactified String Amplitudes, Part I: Tori

Details Momumentum Analyticity and Finiteness of Compactified String Amplitudes, Part I: Tori Momumentum Analyticity and Finiteness of Compactified String Amplitudes, Part I: Tori

1997-12-12

arxiv.org/abs/hep-th/9712129v2

Nucl.Phys. B524 (1998) 295-311

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, tex

Scientific paper

10.1016/S0550-3213(98)00156-4

We generalize to the case of compactified superstrings a construction given previously for critical superstrings of finite one loop amplitudes that are well-defined for all external momenta. The novel issues that arise for compactified strings are the appearance of infrared divergences from the propagation of massless strings in four dimensions and, in the case of orbifold schemes, the contribution of tachyons in partial amplitudes with given spin structure and twist sectors. Methods are presented for the resolution of these problems and expressions for finite amplitudes are given in terms of double and single dispersion relations, with explicit spectral densities.

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