310 citations · 1.2k across the 34 of their papers we have counts for
3 papers · 2 filters
Ginsparg-Wilson Dirac operator in the monopole backgrounds on the fuzzy 2-sphere
Hajime Aoki, Satoshi Iso, Toshiharu Maeda
In the previous papers, we studied the 't Hooft-Polyakov (TP) monopole configurations in the U(2) gauge theory on the fuzzy 2-sphere,and showed that they have nonzero topological c…
Probability distribution of the index in gauge theory on 2d non-commutative geometry
Hajime Aoki, Jun Nishimura, Yoshiaki Susaki
We investigate the effects of non-commutative geometry on the topological aspects of gauge theory using a non-perturbative formulation based on the twisted reduced model. The confi…
The index of the overlap Dirac operator on a discretized 2d non-commutative torus
Hajime Aoki, Jun Nishimura, Yoshiaki Susaki
The index, which is given in terms of the number of zero modes of the Dirac operator with definite chirality, plays a central role in various topological aspects of gauge theories.…