标题： 介子谱在大 $N$ 极限下 显示英文标题

标题： Meson spectrum in the large $N$ limit

摘要： 我们给出了在大$N$极限下（伴随$N_f/N\longrightarrow 0$）的 SU(N) 规范理论最低介子质量的计算结果。最终值以弦张力平方根的单位给出，并且误差同时包含了统计误差和系统误差。通过使用 4 种不同的晶格间距，我们观察到我们的结果具有适当的标度性。我们研究了多种$N$值（169、289 和 361），以监测最敏感量的 N 依赖性。我们的方法基于基于第一性原理的方法（晶格规范理论）与大$N$体积无关性的结合。我们采用了 Wilson 路径和最大扭曲的扭曲质量路径。除了赝标量、向量、标量和轴矢量通道中的质量外，我们还给出了赝标量衰变常数以及各种重整化因子的结果。 显示英文摘要

摘要： We present the result of our computation of the lowest lying meson masses for SU(N) gauge theory in the large $N$ limit (with $N_f/N\longrightarrow 0$). The final values are given in units of the square root of the string tension, and with errors which account for both statistical and systematic errors. By using 4 different values of the lattice spacing we have seen that our results scale properly. We have studied various values of $N$ (169, 289 and 361) to monitor the N-dependence of the most sensitive quantities. Our methodology is based upon a first principles approach (lattice gauge theory) combined with large $N$ volume independence. We employed both Wilson fermions and twisted mass fermions with maximal twist. In addition to masses in the pseudoscalar, vector, scalar and axial vector channels, we also give results on the pseudoscalar decay constant and various remormalization factors.