Geodesic
Dispersion relations in string theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 3, pp. 442-455 
E. D'Hoker; D. H. Phong. Dispersion relations in string theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 3, pp. 442-455. http://geodesic.mathdoc.fr/item/TMF_1994_98_3_a12/
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     author = {E. D'Hoker and D. H. Phong},
     title = {Dispersion relations in string theory},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_3_a12/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the graviton multiplet in the Type II Superstring. In particular we obtain explicit double and single dispersion relations, formulas for all the successive branch cuts extending out to $+\infty$, as well as for the decay rate of a massive string state of arbitrary mass $2N$ into two string states of lower mass. We compare our results with the box diagram in a superposition of $\phi ^3$-like field theories. The stringy effects are traced to a convergence problem in this superposition.

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