K. Yamawaki, T. Yamazaki Non- Perturbative Study of 16- Flavor QCD
K. Yamawaki, T. Yamazaki Non- Perturbative Study of 16- Flavor QCD
复制标题
K. Yamawaki, T. Yamazaki 16 味 QCD 的非微扰研究
DOI：
10.1142/9789814566254_0058
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
T. Yamazaki
中科院分区：
文献类型：
--
作者：
Y.Aoki;T. Aoyama;M. Kurachi;T. Maskawa;K.- i. Nagai;H. Ohki;A. Shibata;K. Yamawaki;T. Yamazaki
众所周知，在双圈微扰理论中，具有基本16味费米子的SU（3）规范理论是由一个非平凡的红外不动点所支配的，而非微扰格点规范理论还没有得到很好的研究。我们用改进的作用量（HISQ/tree）格子模拟方法研究了16味QCD在宽的格子间距范围内的性质。我们提出了在空间方向上的Polyakov环在几个值的β在固定的晶格尺寸和费米子质量。结果表明，当β = 12时，晶格裸耦合与微扰不动点处的耦合几乎相同，有限尺寸效应可能很大。我们讨论了赝标介子质量的有限尺寸超标度来估计质量反常维数γ，但结果可能存在较大的有限尺寸效应.令人鼓舞的是，估计的γ与微扰值一致，尽管我们的估计具有很大的不确定性。
It is well known that the SU(3) gauge theory with the fundamental 16-flavor fermion is governed by a non-trivial infrared fixed point in the 2-loop perturbation theory, while the theory has not been well investigated by non-perturbative lattice gauge simulations. We investigate properties of 16-flavor QCD by lattice simulation with highly improved actions(HISQ/tree) at wide range of the lattice spacing. We present the Polyakov loop in the spatial direction at several values of β at fixed lattice size and fermion mass. From the result we find that the finite size effect might be large at β = 12, where the lattice bare coupling is almost same as the coupling at the perturbative fixed point. We discuss the finite-size hyperscaling of the mass of pseudoscalar meson to estimate the mass anomalous dimension γ, while the results might have large finite size effect. It is encouraging that the estimated γ is consistent with the perturbative value, although our estimate has large uncertainty.