Lattice study of UA(1) anomaly: the role of QCD-monopoles

We investigate the role of QCD-monopoles for the UA(1) anomaly in the maximally abelian gauge within the SU(2) lattice gauge theory. The existence of the strong correlation between instantons and QCD-monopoles in the abelian gauge was already shown by both analytic and numerical works including the Monte Carlo simulation. Their interrelation brings us a conjecture that the presence of QCD-monopoles plays a considerable role on the UA(1) anomaly. We find an evidence for our conjecture on a determination of the fermionic zero modes of the Dirac operator in both the “monopole removed” gauge configuration and the “photon removed” gauge configuration.