173 citations · 623 across the 19 of their papers we have counts for
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A comment on the index of the lattice Dirac operator and the Ginsparg-Wilson relation
Atsushi Yamada
We pursue Ginsparg and Wilsons' block spin approach in the derivation of the Ginsparg-Wilson relation and study the correspondence of the eigenmodes of the Dirac operators in the c…
One-loop analyses of lattice QCD with the overlap Dirac operator
M. Ishibashi, Y. Kikukawa, T. Noguchi +1
We discuss the weak coupling expansion of lattice QCD with the overlap Dirac operator. The Feynman rules for lattice QCD with the overlap Dirac operator are derived and the quark s…
A note on the exact lattice chiral symmetry in the overlap formalism
Yoshio Kikukawa, Atsushi Yamada
Using the grassman-number-integral representation of the vacuum overlap formula, it is shown that the symmetry of the auxiliary quantum fermion system in the overlap formalism indu…
Axial vector current of exact chiral symmetry on the lattice
Yoshio Kikukawa, Atsushi Yamada
We discuss the exact chiral symmetry and its spontaneous breakdown in lattice QCD with the Dirac operators satisfying the Ginsparg-Wilson relation. The axial vector current, which…
Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly
Y. Kikukawa, A. Yamada
We discuss the weak coupling expansion of massless QCD with the Dirac operator which is derived by Neuberger based on the overlap formalism and satisfies the Ginsparg-Wilson relati…
Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
Atsushi Yamada
Lattice perturbation theory is discussed in the overlap formulation for the Yukawa and gauge interactions. One and two point functions are studied for fermion, scalar and gauge fie…