120 citations · 555 across the 32 of their papers we have counts for
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Quantum Markov Process on a Lattice
T. Hashimoto, M. Horibe, A. Hayashi
We develop a systematic description of Weyl and Fano operators on a lattice phase space. Introducing the so-called ghost variable even on an odd lattice, odd and even lattices can…
Wigner Functions on a Lattice
A. Takami, T. Hashimoto, M. Horibe +1
The Wigner functions on the one dimensional lattice are studied. Contrary to the previous claim in literature, Wigner functions exist on the lattice with any number of sites, wheth…
Determinant of a new fermionic action on a lattice - (II)
A. Takami, T. Hashimoto, M. Horibe +1
We investigate the fermion determinant of a new action on a -dimensional lattice for SU(2) gauge groups. This action possesses the discrete chiral symmetry and provides $2^D…
Determinant of a new fermionic action on a lattice - (I)
A. Takami, T. Hashimoto, M. Horibe +1
We investigate, analytically and numerically, the fermion determinant of a new action on a (1+1)-dimensional Euclidean lattice. In this formulation the discrete chiral symmetry is…
A lattice fermion without doubling
A. Hayashi, T. Hashimoto, M. Horibe +1
A free fermion without doubler is formulated on 1+D dimensional discrete Minkowski space-time. The action is not hermitian but causes no harm. In 1+3 dimensional massless case the…