论文标题
Yang-Mills理论中张量和标量粘合球块的颜色依赖性
Color dependence of tensor and scalar glueball masses in Yang-Mills theories
论文作者
论文摘要
我们报告了对$ sp（n_c）$ gauge理论的连续和无限量限制的广泛晶格研究中获得的最轻的Spin-0和Spin-2胶球的质量。$ n_c = 2,4,6,8 $。我们还向大$ N_C $限制推断了组合结果。我们计算标量和张量质量的比率，并观察到该比率独立于$ n_ {c} $的证据。在相同的时空维度上对杨利尔理论的其他晶格研究提供了兼容的比率。我们将这些结果与各种分析结果进行了比较，并讨论了与基于对称性的参数有关，与基础动力学中的规模不变性有关的参数，表明在$ 0^{++} $粘合球被解释为dilaton状态的情况下可能会出现恒定比率。
We report the masses of the lightest spin-0 and spin-2 glueballs obtained in an extensive lattice study of the continuum and infinite volume limits of $Sp(N_c)$ gauge theories for $N_c=2,4,6,8$. We also extrapolate the combined results towards the large-$N_c$ limit. We compute the ratio of scalar and tensor masses, and observe evidence that this ratio is independent of $N_{c}$. Other lattice studies of Yang-Mills theories at the same space-time dimension provide a compatible ratio. We further compare these results to various analytical ones and discuss them in view of symmetry-based arguments related to the breaking of scale invariance in the underlying dynamics, showing that a constant ratio might emerge in a scenario in which the $0^{++}$ glueball is interpreted as a dilaton state.
