手征费米子的Schur补方法
A Schur Complement Approach to Chiral Fermions
摘要：
格手征费米子是金斯帕-威尔逊关系的同义词。实际上，重叠、畴壁和完全作用费米子核都满足这个关系。在最近的工作中，我们已经表明，它是可能采取直接RG方法的费米子在规范场的存在。这是由于代数隐式块技术，产生一个舒尔互补粗狄拉克算子。利用一个稳定的正则Schur补逼近，该格式可以迭代到不动点。在这次演讲中，我们详细阐述了直接RG方法，并展示了如何在粗晶格上获得高度改进的手征费米子，而规范场保留在细晶格上。我们用QCDLAB { \tt http：//phys.fshn.edu.al/qcdlab.html}给出了格点量子色动力学的数值例子
英文摘要：
Lattice chiral fermions are synonymous to the Ginsparg-Wilson relation. Indeed, this relation is satisfied by the overlap, domain wall and perfect action fermion kernel. In a recent work we have shown that it is possible to take a direct RG approach for fermions in the presence of gauge fields. This is due to an algebraically implicit blocking technique which yields a Schur-complementary coarse Dirac operator. Using a Schur complement approximation which is stable and regular, the scheme can be iterated to the fixed point. In this talk, we elaborate more on the direct RG approach and show how to get highly improved chiral fermions on the coarse lattice with the gauge fields remaining on the fine lattice. We give numerical examples in the case of lattice QCD using QCDLAB {\tt http://phys.fshn.edu.al/qcdlab.html}
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