Quark mass anomalous dimension and ΛMS¯$$ {\varLambda}_{\overline{\mathrm{MS}}} $$ from the twisted mass Dirac operator spectrum
Quark mass anomalous dimension and ΛMS¯$$ {\varLambda}_{\overline{\mathrm{MS}}} $$ from the twisted mass Dirac operator spectrum
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DOI：
10.1007/jhep08(2014)127
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发表时间：
2013-11
影响因子：
5.4
通讯作者：
K. Cichy
中科院分区：
文献类型：
--
作者：
K. Cichy
我们研究了在格点QCD中从扭曲质量Dirac算符的谱中提取夸克质量反常维数及其标度依赖性的可能性。这个问题的答案似乎是肯定的，只要一个去足够大的特征值，充分以上的非微扰制度。所得结果进行了比较连续扰动理论。通过分析系统效应的可能来源，我们发现该方法的适用范围，从大约1.5到4 GeV的能量范围。下限由物理学决定（低能量下的非微扰效应），而上限由当今晶格模拟的紫外截止值设定。关于反常维度的尺度依赖性的信息也允许提取2味QCD的参数的值，产生值303（13）（25）MeV，其中第一个误差是统计的，第二个是系统的。我们使用规范场配置合奏产生的欧洲扭曲质量协作（ETMC）与2味的动态扭曲质量夸克，在4个晶格间距在0.04和0.08之间的范围内。
We investigate whether it is possible to extract the quark mass anomalous dimension and its scale dependence from the spectrum of the twisted mass Dirac operator in Lattice QCD. The answer to this question appears to be positive, provided that one goes to large enough eigenvalues, sufficiently above the non-perturbative regime. The obtained results are compared to continuum perturbation theory. By analyzing possible sources of systematic effects, we find the domain of applicability of the approach, extending from an energy scale of around 1.5 to 4 GeV. The lower limit is dictated by physics (non-perturbative effects at low energies), while the upper bound is set by the ultraviolet cut-off of present-day lattice simulations. The information about the scale dependence of the anomalous dimension allows also to extract the value of the-parameter of 2-flavour QCD, yielding the value 303 (13)(25) MeV, where the first error is statistical and the second one systematic. We use gauge field configuration ensembles generated by the European Twisted Mass Collaboration (ETMC) with 2 flavours of dynamical twisted mass quarks, at 4 lattice spacings in the range between around 0.04 and 0.08 fm.