Small Instantons in $C{P}^1$ and $C{P}^2$ Sigma Models

Yaogang Lian, H. B. Thacker

The anomalous scaling behavior of the topological susceptibility ${\chi }_t$ in two-dimensional $C{P}^{N-1}$ sigma models for $N\le 3$ is studied using the overlap Dirac operator construc…