Chan Chuan-Tsung, Ho Pei-Ming, Lee Jen-Chi, Teraguchi Shunsuke, Yang Yi
Physics Division, National Center for Theoretical Sciences, Hsinchu, Taiwan, Republic of China.
Phys Rev Lett. 2006 May 5;96(17):171601. doi: 10.1103/PhysRevLett.96.171601. Epub 2006 May 2.
High-energy limit of zero-norm states in the old covariant first quantized spectrum of the 26D open bosonic string, together with the assumption of a smooth behavior of string theory in this limit, are used to derive infinitely many linear relations among the leading high-energy, fixed-angle behavior of four-point functions of different string states. As a result, ratios among all high-energy scattering amplitudes of four arbitrary string states can be calculated algebraically and the leading order amplitudes can be expressed in terms of that of four tachyons as conjectured by Gross in 1988. A dual calculation can also be performed and equivalent results are obtained by taking the high-energy limit of Virasoro constraints. Finally, we compute all high-energy scattering amplitudes of three tachyons and one massive state at the leading order by saddle-point approximation to verify our results.
26维开放玻色弦旧协变一阶量子化谱中零范数态的高能极限，以及弦理论在此极限下行为平滑的假设，被用于推导不同弦态四点函数的主导高能、固定角度行为之间的无穷多个线性关系。结果，任意四个弦态的所有高能散射振幅之比都可以通过代数方法计算出来，并且主导阶振幅可以如1988年格罗斯所推测的那样，用四个快子的振幅来表示。也可以进行对偶计算，通过取维拉索罗约束的高能极限得到等效结果。最后，我们通过鞍点近似计算了三个快子和一个重态的所有主导阶高能散射振幅，以验证我们的结果。
