标题： 非临界弦的高能散射 显示英文标题

标题： High energy scattering of non-critical strings

摘要： 我们总结了近期的工作，其中我们考虑了非临界弦在所有外部态能量远大于弦张力的极限情况下的散射振幅。 我们表明，高能极限由一个可以映射到与外部态相关的电荷集合以及来自Liouville场的电荷密度的静电平衡配置的鞍点主导。 Liouville电荷积聚在线段上，这些线段在世界面上产生二次分支切割。 该静电问题在弦树图水平上通过超椭圆积分求解，并且对于三点和四点函数给出了显式表达式。 对于中心荷的一般值，高能极限表现出类似弦的行为，具有指数能依赖性。 显示英文摘要

摘要： 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.