13 citations · 26 across the 4 of their papers we have counts for
4 papers
Equivalence of lattice operators and graph matrices
Jun Yumoto, Tatsuhiro Misumi
We explore the relationship between lattice field theory and graph theory, placing special emphasis on the interplay between Dirac and scalar lattice operators and matrices within…
New conjecture on exact Dirac zero-modes of lattice fermions
Jun Yumoto, Tatsuhiro Misumi
We propose a new conjecture on the relation between the species doubling of lattice fermions and the topology of manifold on which the fermion action is defined. Our conjecture cla…
Lattice fermions as spectral graphs
Jun Yumoto, Tatsuhiro Misumi
We study lattice fermions from the viewpoint of spectral graph theory (SGT). We find that a fermion defined on a certain lattice is identified as a spectral graph. SGT helps us inv…
Varieties and properties of central-branch Wilson fermions
Tatsuhiro Misumi, Jun Yumoto
We focus on the four-dimensional central-branch Wilson fermion, which makes good use of six species at the central branch of the Wilson Dirac spectrum and possesses the extra $U(1)…