High energy scattering of non-critical strings

Details High energy scattering of non-critical strings High energy scattering of non-critical strings

1996-09-28

arxiv.org/abs/hep-th/9609221v1

Int.J.Mod.Phys. A12 (1997) 1253-1263

Physics

High Energy Physics

High Energy Physics - Theory

10pp, LaTeX, Contribution to Proceedings of the Telluride 1996, workshop on Low-Dimensional Quantum Fields Theory

Scientific paper

We summarize recent work, in which we consider scattering amplitudes of non-critical strings in the limit where the energy of all external states is large compared to the string tension. We show that the high energy limit is dominated by a saddle point that can be mapped onto an electrostatic equilibrium configuration of an assembly of charges associated with the external states, together with a density of charges arising from the Liouville field. The Liouville charges accumulate on line segments, which produce quadratic branch cuts on the worldsheet. The electrostatics problem is solved for string tree level in terms of hyperelliptic integrals and is given explicitly for the 3- and 4-point functions. For generic values of the central charge, the high energy limit behaves in a string-like fashion, with exponential energy dependence.

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