论文标题
关于COON振幅的单位性
On unitarity of the Coon amplitude
论文作者
论文摘要
COON振幅是委内塞亚诺幅度的单参数变形。我们使用$ q $ -calculus的工具通过其部分波扩展来探索COON振幅的单位性。我们的分析在任意时空维度$ d $中对领先和子领先的regge轨迹建立了明显的积极性，同时揭示了$（q，d）$参数空间的违反单位性的行为。数值研究和分析论证的结合使我们能够争论固定旋转和渐近造物中部分波系数的明显阳性。
The Coon amplitude is a one-parameter deformation of the Veneziano amplitude. We explore the unitarity of the Coon amplitude through its partial wave expansion using tools from $q$-calculus. Our analysis establishes manifest positivity on the leading and sub-leading Regge trajectories in arbitrary spacetime dimensions $D$, while revealing a violation of unitarity in a certain region of $(q,D)$ parameter space starting at the sub-sub-leading Regge order. A combination of numerical studies and analytic arguments allows us to argue for the manifest positivity of the partial wave coefficients in fixed spin and Regge asymptotics.
