发表机构
Ningbo University（宁波大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明无质量费米子树级振幅在特定运动学轨迹上存在普遍隐藏零点，其机制源于局域融合通道，并扩展到引力子与引力微子振幅。
AI 中文摘要
我们揭示并证明了一类普遍存在的、涉及无质量费米子的树级振幅中的隐藏零点。对于任意偶数个无质量实伴随费米子与胶子的任意排列，在$D=4,6,10$维中，色序规范理论振幅在由物种依赖的桥接条件补充的一般矩形运动学轨迹上消失。费米子-费米子桥接仅由矢量流$\chi_i\gamma^\mu\chi_j$决定，而混合桥接和胶子桥接则由相应的规范协变收缩固定。世界sheet分析证明了该结果在任意多重数下成立，并将其普适性追溯到局域融合通道$ff\to g$、$fg/gf\to f$和$gg\to g$，在更高费米子多重数下不会出现新的原始桥接结构。相同的机制扩展到十维振幅，包括具有引力子和任意偶数个引力微子（采用因子化的伽马无迹极化）的振幅，以及具有伴随胶微子和引力子的单迹爱因斯坦-杨-米尔斯振幅。这些结果揭示了规范振幅和引力振幅中费米子隐藏零点背后的有限局域结构。
英文摘要
We uncover and prove a general class of hidden zeros in tree-level amplitudes with massless fermions. For arbitrary even numbers and arbitrary arrangements of massless real adjoint fermions and gluons, color-ordered gauge-theory amplitudes in $D=4,6,10$ vanish on general rectangular kinematic loci supplemented by species-dependent bridge conditions. The fermion--fermion bridge is governed simply by the vector current $χ_iγ^μχ_j$, while mixed and gluonic bridges are fixed by the corresponding gauge-covariant contractions. A worldsheet analysis proves the result at arbitrary multiplicity and traces its universality to the local fusion channels $ff\to g$, $fg/gf\to f$, and $gg\to g$, with no new primitive bridge structures appearing at higher fermion multiplicity. The same mechanism extends to ten-dimensional amplitudes with gravitons and arbitrary even numbers of gravitinos in factorized gamma-traceless polarizations, and to single-trace Einstein-Yang-Mills amplitudes with adjoint gluinos and gravitons. These results expose a finite local structure underlying fermionic hidden zeros across gauge and gravitational amplitudes.
Comments7+14 pages, 2 figures
