论文标题
单位性和DILATON有效理论
Unitarity and Dilaton effective theory
论文作者
论文摘要
从与尺度异常一致的低能量有效理论中，我们计算出$ 2 \ to2 $散射的散射幅度。我们发现，随着散射能量接近有效理论的截止，一环幅度违反了绑定的单位性，$ \ sqrt {s} = \ sqrt {4π} f_d $。然后，我们表明，临界周围的质量质量质量（即Spin-2状态）包括临界值。单位性论点表明，DILATON和SPIN-2状态的质量比与近形条型动力学的Miransky-BKT缩放平方成正比。
From the low-energy effective theory of dilatons, consistent with the scale anomaly, we calculate the $2\to2$ scattering amplitudes of dilatons. We find that the one-loop amplitude violates the unitarity bound as the scattering energy approaches the cutoff of the effective theory, $\sqrt{s}=\sqrt{4π} f_D$. We then show that the inclusion of the next-to-lightest state, namely the spin-2 state, of mass around the cutoff improves the unitarity. The unitarity argument suggests that the mass ratio of the dilaton and the spin-2 state is proportional to the square of the Miransky-BKT scaling of the near conformal dynamics.
