We show that the Veneziano amplitude of string theory is the unique solution to an analytically solvable bootstrap problem. Uniqueness follows from two assumptions: faster than power-law falloff in high-energy scattering and the existence of some infinite sequence in momentum transfer at which higher-spin exchanges cancel. The string amplitude—including the mass spectrum—is an output of this bootstrap. If the amplitude merely vanishes at high energies, the solution is a three-parameter family containing the Veneziano, Coon, and hypergeometric amplitudes, and more. Published by the American Physical Society 2024

中文翻译：

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字符串的频谱和散射的 Bootstrap 原理


我们表明，弦理论的 Veneziano 振幅是可解析求解的 bootstrap 问题的唯一解。唯一性来自两个假设：在高能散射中比幂律衰减更快，以及动量传递中存在一些无限序列，此时高自旋交换会抵消。弦振幅（包括质谱）是此自举的输出。如果振幅仅在高能量下消失，则解是一个包含 Veneziano、Coon 和超几何振幅等的三参数族。 美国物理学会 2024 年出版