标题： 淬火格点QCD中硬手征对数的证据 显示英文标题

标题： Evidence for hard chiral logarithms in quenched lattice QCD

摘要： 我们首次提供了直接证据，表明在手征（$m_q \rightarrow 0$）极限下，淬火QCD与完整QCD不同，这正如手征微扰理论所预测的那样，来自我们在$\beta = 6/g^2 = 6.0$处的淬火格点QCD模拟。 我们测量了在$16^3 \times 64$、$24^3 \times 64$和$32^3 \times 64$上轻子的谱，使用了质量为$m_q=0.01$、$m_q=0.005$和$m_q=0.0025$的交错夸克。 介子质量清楚地显示了 PCAC 关系的对数偏差$m_{\pi}^2 \propto m_q$，这与冻结手征微扰理论的预测一致。 其对空间格点体积的依赖排除了这是有限尺寸效应的可能性。 没有看到手征对数在手征凝聚行为中的证据$\langle\bar{\psi}\psi\rangle$。 显示英文摘要

摘要： We present the first direct evidence that quenched QCD differs from full QCD in the chiral ($m_q \rightarrow 0$) limit, as predicted by chiral perturbation theory, from our quenched lattice QCD simulations at $\beta = 6/g^2 = 6.0$. We measured the spectrum of light hadrons on $16^3 \times 64$, $24^3 \times 64$ and $32^3 \times 64$, using staggered quarks of masses $m_q=0.01$, $m_q=0.005$ and $m_q=0.0025$. The pion masses showed clear evidence for logarithmic violations of the PCAC relation $m_{\pi}^2 \propto m_q$, as predicted by quenched chiral perturbation theory. The dependence on spatial lattice volume precludes this being a finite size effect. No evidence was seen for such chiral logarithms in the behaviour of the chiral condensate $\langle\bar{\psi}\psi\rangle$.