论文标题
关于d = 4的coon振幅的阳性
On the positivity of Coon amplitude in D=4
论文作者
论文摘要
COON振幅是对数regge轨迹的双重性约束的独特解决方案。该解决方案的一个惊人特征是它在委内兹亚诺振幅和标量粒子幅度之间进行了插值。但是，尚不清楚振幅单位性的分析证明。在此简短的说明中，我们明确计算了d = 4中领先的regge轨迹上的部分波系数。我们发现这些系数始终保持正，即使它们的幅度随旋转而降低。由于观察到横幅轨迹上的系数大于领先轨迹的系数，因此我们的结果表明d = 4中完整的cooon幅度的阳性。
The Coon amplitude is the unique solution to duality constraints with logarithmic Regge trajectories. A striking feature of this solution is that it interpolates between the Veneziano amplitude and a scalar particle amplitude. However, an analytic proof of unitarity of the amplitude is not yet known. In this short note, we explicitly compute the partial wave coefficients on the leading Regge trajectory in D=4. We find that these coefficients always remain positive, even though their magnitude decreases with spin. Since the coefficients on the subleading trajectories are observed to be larger than those on the leading ones, our result indicates the positivity of the full Coon amplitude in D=4.
