36 citations · 182 across the 11 of their papers we have counts for
11 papers
CP symmetry and lattice chiral gauge theories
Masato Ishibashi
The CP symmetry is a fundamental discrete symmetry in chiral gauge theory. Therefore this symmetry is expected to be kept also on the lattice. However, it has been pointed out by H…
CP breaking in lattice chiral gauge theory
Kazuo Fujikawa, Masato Ishibashi, Hiroshi Suzuki
The CP symmetry is not manifestly implemented for the local and doubler-free Ginsparg-Wilson operator in lattice chiral gauge theory. We precisely identify where the effects of thi…
CP breaking in lattice chiral gauge theories
Kazuo Fujikawa, Masato Ishibashi, Hiroshi Suzuki
The CP symmetry is not manifestly implemented for the local and doubler-free Ginsparg-Wilson operator in lattice chiral gauge theory. We precisely identify where the effects of thi…
Ginsparg-Wilson operators and a no-go theorem
Kazuo Fujikawa, Masato Ishibashi, Hiroshi Suzuki
If one uses a general class of Ginsparg-Wilson operators, it is known that CP symmetry is spoiled in chiral gauge theory for a finite lattice spacing and the Majorana fermion is no…
Lattice chiral symmetry, Yukawa couplings and the Majorana condition
Kazuo Fujikawa, Masato Ishibashi
It is shown that the conflict between lattice chiral symmetry and the Majorana condition in the presence of Yukawa couplings, which was noted in our previous paper, is related in a…
A Perturbative Study of a General Class of Lattice Dirac Operators
Kazuo Fujikawa, Masato Ishibashi
A perturbative study of a general class of lattice Dirac operators is reported, which is based on an algebraic realization of the Ginsparg-Wilson relation in the form $γ_{5}(γ_{5}D…
Properties of a New Class of Lattice Dirac Operators
Kazuo Fujikawa, Masato Ishibashi
A new class of lattice Dirac operators have been recently proposed on the basis of the generalized Ginsparg-Wilson relation, ,…
Lattice Chiral Symmetry and the Wess-Zumino Model
Kazuo Fujikawa, Masato Ishibashi
A lattice regularization of the supersymmetric Wess-Zumino model is studied by using Ginsparg-Wilson operators. We recognize a certain conflict between the lattice chiral symmetry…
Locality Properties of a New Class of Lattice Dirac Operators
Kazuo Fujikawa, Masato Ishibashi
A new class of lattice Dirac operators which satisfy the index theorem have been recently proposed on the basis of the algebraic relation $γ_{5}(γ_{5}D) + (γ_{5}D)γ_{5} = 2a^{2…
Chiral Anomaly for a New Class of Lattice Dirac Operators
Kazuo Fujikawa, Masato Ishibashi
A new class of lattice Dirac operators which satisfy the index theorem have been recently proposed on the basis of the algebraic relation $γ_{5}(γ_{5}D) + (γ_{5}D)γ_{5} = 2a^{2k+1}…
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…