标题： 具有轻夸克的QCD中的重叠超立方格点费米子 显示英文标题

标题： Overlap hypercube fermions in QCD with light quarks

摘要： 我们报告了关于重叠超立方格点费米子（重叠HF）模拟结果的研究——这是一种精确的格点手征费米子，并探讨了它与手征微扰理论之间的联系。我们首先概述了重叠HF的构建过程，并讨论了其高度的局域性。接下来，我们在QCD的p区域展示了应用情况，其中我们评估了m_{\pi }、m_{\rho }（根据PCAC关系确定的夸克质量）、重整化常数Z_A、以及π介子衰变常数F_{\pi }，并将它们作为裸夸克质量的函数。然后，在更小的夸克质量下，即ε区域，重新考虑了F_{\pi }的情况，同时研究了标量凝聚项 \Sigma 。在此背景下，我们还讨论了拓扑电荷和易感性的结果。 显示英文摘要

摘要： We report on simulation results with overlap hypercube fermions (overlap HF) - a type of exactly chiral lattice fermions - and their link to chiral perturbation theory. We first sketch the construction of the overlap HF and discuss its high level of locality. Next we show applications in the p-regime of QCD, where we evaluate m_{\pi}, m_{\rho}, the quark mass according to the PCAC relation, the renormalisation constant Z_A and the pion decay constant F_{\pi} as functions of the bare quark mass. F_{\pi} is then reconsidered at even smaller quark masses in the epsilon-regime, along with the scalar condensate \Sigma. In that context we also discuss results for the topological charges and susceptibility.