论文标题
与Wilson或Ginsparg-Wilson Quarks在晶格QCD中对O（$ a $）和O（$ a^2 $）效果的对数更正（$ a^2 $）
Logarithmic corrections to O($a$) and O($a^2$) effects in lattice QCD with Wilson or Ginsparg-Wilson quarks
论文作者
论文摘要
我们得出渐近晶格间距依赖性$ a^n [2b_0 \ bar {g}^2（1/a）]^{\hatγ_i} $与光谱量的频谱QCD相关，当使用Wilson，o $ $（o $ $（a）$ $（a）$ RIVENSPARG WILSON或GINSPARG-WILSON COONSS时。我们为$ \hatγ_i$遇到的光谱提供了一些示例，包括部分淬火的情况，混合动作，并对动态夸克使用两种不同的离散化。这还包括依靠自动o $（a）$改进的最大扭曲质量QCD。 At O$(a^2)$, all cases considered have $\min_i\hatΓ_i\gtrsim -0.3$ if $N_\mathrm{f}\leq 4$, which ensures that the leading order lattice artifacts are not severely logarithmically enhanced in contrast to the O$(3)$ non-linear sigma model [1,2].但是，我们发现这些领先力量的密集范围非常密集，这可能会导致重大堆积和取消。我们详细介绍了用于获得[3]中已经使用的1循环异常维度所采用的计算策略。
We derive the asymptotic lattice spacing dependence $a^n[2b_0\bar{g}^2(1/a)]^{\hatΓ_i}$ relevant for spectral quantities of lattice QCD, when using Wilson, O$(a)$ improved Wilson or Ginsparg-Wilson quarks. We give some examples for the spectra encountered for $\hatΓ_i$ including the partially quenched case, mixed actions and using two different discretisations for dynamical quarks. This also includes maximally twisted mass QCD relying on automatic O$(a)$ improvement. At O$(a^2)$, all cases considered have $\min_i\hatΓ_i\gtrsim -0.3$ if $N_\mathrm{f}\leq 4$, which ensures that the leading order lattice artifacts are not severely logarithmically enhanced in contrast to the O$(3)$ non-linear sigma model [1,2]. However, we find a very dense spectrum of these leading powers, which may result in major pile-ups and cancellations. We present in detail the computational strategy employed to obtain the 1-loop anomalous dimensions already used in [3].
