116 citations · 1.4k across the 130 of their papers we have counts for
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The gradient flow in theory
Kazuo Fujikawa
A gradient flow equation for theory in is formulated. In this scheme the gradient flow equation is written in terms of the renormalized probe variable and r…
Lattice chiral symmetry, CP-violation and Majorana fermions
Kazuo Fujikawa
A brief summary of lattice fermions defined by the general Ginsparg-Wilson algebra is first given. It is then shown that those general class of fermion operators have a conflict wi…
Domain wall fermion and CP symmetry breaking
Kazuo Fujikawa, Hiroshi Suzuki
We examine the CP properties of chiral gauge theory defined by a formulation of the domain wall fermion, where the light field variables and together with Pauli-Villar…
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…
N=2 Wess-Zumino model on the d=2 Euclidean lattice
Kazuo Fujikawa
We examine the N=2 Wess-Zumino model defined on the Euclidean lattice in connection with a restoration of the Leibniz rule in the limit in perturbatively finite theor…
Generalized Ginsparg-Wilson algebra and index theorem on the lattice
Kazuo Fujikawa
Recent studies of the topological properties of a general class of lattice Dirac operators are reported. This is based on a specific algebraic realization of the Ginsparg-Wilson re…
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, ,…
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}…
Algebraic Generalization of the Ginsparg-Wilson Relation
Kazuo Fujikawa
A specific algebraic realization of the Ginsparg-Wilson relation in the form is discussed, where stands for a non-negat…
Regularization and Anomalies in Gauge Theory
Kazuo Fujikawa
Some of the basic issues related to the regularization and anomalies in gauge theory are reviewed, with particular emphasis on the recent development in lattice gauge theory. The g…
Implications of in Lattice Gauge Theory
Kazuo Fujikawa
We analyze the implications of the relation , which is customarily assumed in practical lattice calculations. On the basis of the finite dimensional representations of t…
Relation and the index theorem in lattice gauge theory
Kazuo Fujikawa
The relation implies the contribution to the trace from unphysical (would-be) species doublers in lattice gauge theory. This statement is also true for the Pauli-Vill…