48 citations · 135 across the 22 of their papers we have counts for
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Chiral Anomaly of Kogut-Susskind Fermion in the (3+1)-dimensional Hamiltonian formalism
Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto
We consider Kogut-Susskind fermions (also known as staggered fermions) in a -dimensional Hamiltonian formalism and examine a chiral transformation and its associated chiral…
-theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We show that the Wilson Dirac operator in lattice gauge theory can be identified as a mathematical object in -theory and that its associated spectral flow is equal to the index.…
Lattice Weyl Fermion on a Single Spherical Domain-Wall
Shoto Aoki, Hidenori Fukaya, Naoto Kan
We investigate a single spherical domain-wall embedded in a three-dimensional Euclidean lattice. We employ the Shamir-type domain-wall fermion formulation, where the negative mass…
invariant of massive Wilson Dirac operator and the index
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We revisit the lattice index theorem in the perspective of -theory. The standard definition given by the overlap Dirac operator equals to the invariant of the Wilson Dirac o…