标题： 约化模型中的手征反常 显示英文标题

标题： Chiral anomalies in the reduced model

摘要： 基于Kiskis、Narayanan和Neuberger的观察，我们表明，在采用满足Ginsparg-Wilson关系的Dirac算符处理费米子部分时，简约模型中仍然存在手征反常的残余效应。我们考虑属于规范群U(N)或SU(N)基本表示的费米子。对于向量理论，我们在U(1)嵌入框架内确定了轴向反常或拓扑荷的一般形式。对于具有U(N)规范群的手征规范理论，规范反常的残余效应以平滑费米子积分测度的障碍形式出现。导致这些非平凡现象的规范场构型的纯规范作用量在d>2时的't Hooft $N\to\infty$ 极限下总是发散。 显示英文摘要

摘要： On the basis of an observation due to Kiskis, Narayanan and Neuberger, we show that there is a remnant of chiral anomalies in the reduced model when a Dirac operator which obeys the Ginsparg-Wilson relation is employed for the fermion sector. We consider fermions belonging to the fundamental representation of the gauge group U(N) or SU(N). For vector-like theories, we determine a general form of the axial anomaly or the topological charge within a framework of a U(1) embedding. For chiral gauge theories with the gauge group U(N), a remnant of gauge anomaly emerges as an obstruction to a smooth fermion integration measure. The pure gauge action of gauge-field configurations which cause these non-trivial phenomena always diverges in the 't Hooft $N\to\infty$ limit when d>2.