AI 中文总结
针对开放玻色Veneziano振幅树级分波幺正性的临界维度直接证明缺失问题，研究人员利用贝塞尔递推关系，在3<D≤26范围内证明了其全质量能级与自旋的非负性。
AI 中文摘要
开放玻色Veneziano振幅的树级分波幺正性可通过无鬼定理间接推导，但在临界维度下，从β函数出发的直接证明一直缺失。我们在3<D≤26的整个尖锐范围内，证明了每个质量能级和自旋的非负性，所用的贝塞尔递推关系将无穷符号问题简化为显式正的主体项与有限精确边界项。
英文摘要
Tree-level partial-wave unitarity of the open bosonic Veneziano amplitude follows indirectly from the no-ghost theorem, but a direct proof from the beta function has been missing at the critical dimension. We prove nonnegativity at every mass level and spin throughout the sharp range 3 < D <= 26, using a Bessel recurrence that reduces the infinite sign problem to a manifestly positive bulk and a finite exact boundary.
