Lattice Gauge Theory with Chiral Fermions

在重叠的框架下，本提案包括三个研究主题。这些主题是：(1)大N极限下的QCD， PI对晶格场理论中处理手性费米子的重叠方法的发展做出了非常重要的贡献。本研究的目的是在限色条件下，将此方法应用于点阵QCD中。这项工作在技术上非常具有挑战性，将有助于更好地理解围绕手性费米子和大N QCD的理论和计算问题。（ii） QCD中的手性对称性破缺；（iii）手性规范理论中规范异常的消去。

This proposal includes three topics for investigation, in the framework of overlapfermions. These topics are:(i) QCD in the large N limit, The PI has made very important contributions to thedevelopment of the overlap method to deal with chiral fermions in lattice field theory.The present proposal is to implement this method in lattice QCD in the limit of a largenumber of colors. This work is technically very challenging and will lead to a betterunderstanding of theoretical and computational issues surrounding chiral fermions andlarge N QCD.(ii) Chiral symmetry breaking in QCD, and (iii) Cancellation of gauge anomalies in chiral gauge theories.