AI 中文总结
该研究提出一种受场论微扰子框架启发的新方法，用于绕过世界面模空间积分计算N点树级开弦振幅，通过二叉树方案生成可数值实现的多参数级数表示，成功得到Veneziano振幅及其五点推广，更高重数振幅可通过系统分支得到。
AI 中文摘要
我们提出了一种计算N点树级开弦振幅的新方法，该方法受场论微扰子框架启发，可绕过世界面模空间积分。该构造基于弦顶点的点分裂在壳乘积的弱结合条件，引入了二叉树方案，所有物理道均显式呈现。输出为部分振幅的多参数级数表示，可按质量级截断，因此适合数值实现。除自动由含一个自由参数的双道级数表示的Veneziano振幅外，我们给出其五点推广形式，涉及两个自由参数，且与文献中已知结果匹配。更高重数振幅可通过相同系统分支得到，无需额外输入。
英文摘要
We propose a new method for computing $N$-point tree-level open string amplitudes, inspired by the field-theoretical perturbiner framework and bypassing world-sheet moduli integration. The construction rests on a weak associativity condition for a point-split, on-shell product of string vertices, introducing a binary-tree prescription with all physical channels manifest. The output is a multi-parametric series representation of the partial amplitude that is amenable to mass-level truncation and, therefore, numerical implementation. Besides the Veneziano amplitude, automatically represented by a dual-channel series with one free parameter, we present its five-point generalization, involving two free parameters and matched against known results in the literature. Higher multiplicities are obtained via the same systematic branching, with no separate input.
Comments9 pages, ancillary file attached
