Lattice Gauge Theory with Chiral Fermions

这项提议包括三个主题，在重叠费米子的框架内进行调查。这些主题是：(I)QCD在大N极限下，PI对格子场理论中处理手征费米子的重叠方法的发展做出了非常重要的贡献。这项工作在技术上是非常具有挑战性的，并将有助于更好地理解围绕手征费米子和大N QCD的理论和计算问题。(Ii)QCD中的手征对称破缺，以及(Iii)手征规范理论中规范反常的消除。

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.