13 citations · 16 across the 14 of their papers we have counts for
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Symmetric Mass Generation for Domain-Wall Fermions
Sho Araki, Hidenori Fukaya, Tetsuya Onogi +1
We report the first numerical examination of symmetric mass generation (SMG) for domain-wall fermions. Our simulation on a two-dimensional Euclidean lattice computes the path-integ…
How to formulate the topological invariant of Majorana fermion on the lattice
Sho Araki, Hidenori Fukaya, Tetsuya Onogi +1
Topological invariants and their associated anomalies have played a crucial role in understanding low-energy phenomena in quantum field theories. In lattice gauge theory, the stand…
Generalization of lattice Dirac operator index
Shoto Aoki, Hajime Fujita, Hidenori Fukaya +4
We provide a comprehensive lattice formulation of various types of the Dirac operator indices, employing -theory to classify the Wilson Dirac operator via its spectral flow. In…
Capturing the Atiyah-Patodi-Singer index from the lattice
Shoto Aoki, Hajime Fujita, Hidenori Fukaya +4
We construct a formulation of the Atiyah-Patodi-Singer index of Dirac operators in lattice gauge theory for domains with compact boundaries in a flat torus. The key idea is to expl…