由统一Ward恒等式得到的螺旋度分辨可构造性
Helicity-Resolved Constructibility from Unified Ward Identities
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中文总结 AI 辅助
本文证明大质量高自旋粒子的大$z$行为由螺旋度而非总自旋控制，利用统一Ward恒等式消除额外增长，给出任意自旋的螺旋度分辨可构造性判据，并表明非负耦合维度振幅在五点及以上对所有螺旋度组态可构造。
中文摘要 AI 辅助
我们证明，在全线横向位移下，大质量高自旋粒子的大$z$行为由螺旋度大小而非总自旋控制。非极值高自旋波函数中明显的额外$z$增长，由独立作用于每个矢量指标的统一Ward恒等式消除。为揭示该结构，我们将四维大质量动量及其质量嵌入一个辅助的类光五矢量，其第五电流分量刻画无质量Ward恒等式的破缺与恢复。这些恒等式确定固定螺旋度的大$z$标度，并给出适用于任意自旋的螺旋度分辨可构造性判据。若剥离运动学张量在无质量极限下保持有限，则增加总自旋本身不会恶化可构造性，且具有非负耦合维度的振幅在五点及更高点对所有螺旋度组态均可构造。
英文摘要
We show that the large-$z$ behavior of massive higher-spin particles under all-line transverse shifts is controlled by the helicity magnitude rather than the total spin. The apparent additional $z$ growth of nonextremal higher-spin wavefunctions is removed by unified Ward identities acting independently on each vector index. To expose this structure, we embed a four-dimensional massive momentum and its mass into an auxiliary null five-vector, whose fifth-current components characterize the breaking and restoration of the massless Ward identities. These identities determine the fixed-helicity large-$z$ scaling and yield a helicity-resolved constructibility criterion valid for arbitrary spin. Provided the stripped kinematic tensor remains finite in the massless limit, increasing the total spin does not by itself worsen constructibility, and amplitudes with nonnegative coupling dimension are constructible for all helicity configurations at five points and beyond.
发表机构
- Institute for Basic Science（基础科学研究院）
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