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- W2028418133 abstract "We investigate the different energy regimes in the conjectured SL(2,Z) invariant four graviton scattering amplitude that incorporates D-instanton contributions in 10d type IIB superstring theory. We show that the infinite product over SL(2,Z) rotations is convergent in the whole complex plane s,t. For high energies s>> 1, fixed scattering angle, and very weak coupling g<< 1/s, the four-graviton amplitude exhibits the usual exponential suppression. As the energy approaches 1/g, the suppression gradually diminishes until there appears a strong amplification near a new pole coming from the exchange of a (p,q) string. At energies s<< 1/sqrt{g}, the pure D instanton contribution to the scattering amplitude is found to produce a factor $A_4^{Dinst}cong exp (c g^{3/2}e^{-{2piover g}} s^3)$. At energies $1/sqrt{g} << s<< 1/g $, the D-instanton factor becomes $A_4^{Dinst}cong exp (2 e^{-{2piover g_s}+pi g_s s^2})$. At higher energies s>> 1/g the D-instanton contribution becomes very important, and one finds an oscillatory behavior which alternates suppression and amplification. This suggests that non-perturbative effects can lead to a high-energy behavior which is significantly different from the perturbative string behavior." @default.
- W2028418133 created "2016-06-24" @default.
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- W2028418133 date "2005-03-01" @default.
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- W2028418133 title "Effects of D-instantons in string amplitudes" @default.
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- W2028418133 doi "https://doi.org/10.1016/j.physletb.2005.01.087" @default.
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