  We perform a systematic study of low-lying eigenmodes of $H_w$ with various
gauge actions to find the optimal choice for dynamical overlap fermion
simulations, with which one may achieve lower numerical cost for HMC and better
locality property of the overlap kernel. For this purpose, our study is made
with emphasis on the distribution of low-lying eigenvalues and the mobility
edge with and without dynamical overlap fermions.

High Energy Physics - Lattice