论文标题

大$ n $限制中的介子光谱

Meson spectrum in the large $N$ limit

论文作者

Pérez, Margarita García, González-Arroyo, Antonio, Okawa, Masanori

论文摘要

我们介绍了我们以$ n $ limit($ n_f/n \ longrightArrow 0 $)计算SU(n)量规理论最低的梅森群众的结果。最终值以字符串张力的平方根的单位给出,并带有统计和系统错误的错误。通过使用4个不同的晶格间距值,我们已经看到我们的结果适当缩放。我们已经研究了$ n $(169、289和361)的各种值,以监视最敏感数量的N依赖性。我们的方法是基于第一原理方法(晶格计理),结合了$ n $的独立性。我们同时使用了威尔逊·费米昂(Wilson Fermions)和扭曲的质量费米子(Fermions)。除了伪尺度,矢量,标量和轴向矢量通道中的质量外,我们还为伪级衰减常数和各种可重新分解因子提供了结果。

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.

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