论文标题
Padé分析中Landau Gauge夸克传播器的分析结构
The analytic structure of the Landau gauge quark propagator from Padé analysis
论文作者
论文摘要
使用将Padé近似值涂在其载体和标量形式的情况下，研究了2种风味的全QCD晶格Lantau Gauge Quark Expagator的分析结构。对于繁殖器，没有观察到复杂动量的极点。此外，有明确的证据表明，在真实的轴心负欧几里得动量下，即Minkowski类型的动量。 ％，残留物为阳性。该极点发生在Euclidean Momenta $ p^2 \ SIM -300 $ MEV上，它重现了现象学有效夸克模型中使用的典型夸克质量值。 PADé近似分析还提示了分支切割的存在。我们的结果还表明，该极点的位置（理解为有效的夸克质量）与与PCAC兼容的斜质量之间存在明显的相关性。观察到两个夸克形式的杆之间的略有差异，可以看作是该方法的限制，也可以认为夸克传播器没有光谱表示。
The analytic structure of the 2 flavour full QCD lattice Landau gauge quark propagator is investigated with Padé approximants applied to its vector and scalar form factors. No poles at complex momentum are observed for the propagator. Moreover, there is clear evidence of a pole at real on-axis negative Euclidean momentum, i.e. for Minkowski type of momentum. %, with a positive residuum. This pole occurs at Euclidean momenta $p^2 \sim - 300$ MeV and it reproduces typical quark mass values used in phenomenological effective quark models. The Padé approximant analysis also gives hints on the presence of a branch cut. Our results also show a clear correlation between the position of this pole, understood as an effective quark mass, and the pion mass that is compatible with PCAC. Slightly differences between the poles for the two quark form factors are observed which can be viewed either as a limitation of the method or as a suggestion that the quark propagator has no spectral representation.
