723 citations · 5k across the 184 of their papers we have counts for
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FLAG Review 2024
Y. Aoki, T. Blum, S. Collins +28
We review lattice results related to pion, kaon, -meson, -meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communi…
FLAG Review 2021
Y. Aoki, T. Blum, G. Colangelo +34
We review lattice results related to pion, kaon, -meson, -meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communi…
TKNN formula for general lattice Hamiltonian in odd dimensions
Hidenori Fukaya, Tetsuya Onogi, Satoshi Yamaguchi +1
Topological insulators in odd dimensions are characterized by topological numbers. We prove the well-known relation between the topological number given by the Chern character of t…
A lattice formulation of the Atiyah-Patodi-Singer index
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
Atiyah-Singer index theorem on a lattice without boundary is well understood owing to the seminal work by Hasenfratz et al. But its extension to the system with boundary (the so-ca…
A physicist-friendly reformulation of the Atiyah-Patodi-Singer index and its mathematical justification
Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo +3
The Atiyah-Patodi-Singer index theorem describes the bulk-edge correspondence of symmetry protected topological insulators. The mathematical setup for this theorem is, however, not…
Atiyah-Patodi-Singer index on a lattice
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
We propose a non-perturbative formulation of the Atiyah-Patodi-Singer(APS) index in lattice gauge theory, in which the index is given by the invariant of the domain-wall Dirac…
FLAG Review 2019
S. Aoki, Y. Aoki, D. Becirevic +32
We review lattice results related to pion, kaon, -meson, -meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communi…
Atiyah-Patodi-Singer index theorem for domain-wall fermion Dirac operator
Hidenori Fukaya, Tetsuya Onogi, Satoshi Yamaguchi
Recently, the Atiyah-Patodi-Singer(APS) index theorem attracts attention for understanding physics on the surface of materials in topological phases. Although it is widely applied…
Chiral behavior of decay form factors in lattice QCD with exact chiral symmetry
JLQCD Collaboration, S. Aoki, G. Cossu +6
We calculate the form factors of the semileptonic decays in three-flavor lattice QCD, and study their chiral behavior as a function of the momentum transfer and the Na…
Six-dimensional regularization of chiral gauge theories on a lattice
Hidenori Fukaya, Tetsuya Onogi, Shota Yamamoto +1
We propose a six-dimensional regularization of four dimensional chiral gauge theories. We consider a massive Dirac fermion in six dimensions with two different operators having dom…
Encoding field theories into gravities
Sinya Aoki, Kengo Kikuchi, Tetsuya Onogi
We propose a method to give a geometry from a dimensional quantum field theory in the large N expansion. We first construct a dimensional field from the dimensi…
Chiral behavior of light meson form factors in 2+1 flavor QCD with exact chiral symmetry
JLQCD Collaboration, T. Kaneko, S. Aoki +6
We present a study of chiral behavior of light meson form factors in QCD with three flavors of overlap quarks. Gauge ensembles are generated at single lattice spacing 0.12 fm with…
Generalized Gradient Flow Equation and Its Applications
Sinya Aoki, Kengo Kikuchi, Tetsuya Onogi
We propose a generalization of the gradient flow equation for quantum field theories with nonlinearly realized symmetry. Applying the equation to super Yang…
Light meson electromagnetic form factors from three-flavor lattice QCD with exact chiral symmetry
JLQCD Collaboration, S. Aoki, G. Cossu +5
We study the chiral behavior of the electromagnetic (EM) form factors of pion and kaon in three-flavor lattice QCD. In order to make a direct comparison of the lattice data with ch…
Review of lattice results concerning low energy particle physics
Sinya Aoki, Yasumichi Aoki, Claude Bernard +25
We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle physics community. More specifically, we repor…
Position space formulation for Dirac fermions on honeycomb lattice
Masaki Hirotsu, Tetsuya Onogi, Eigo Shintani
We study how to construct Dirac fermion defined on the honeycomb lattice in position space. Starting from the nearest neighbor interaction in tight binding model, we show that the…
Chiral symmetry breaking in lattice brane QED model
Eigo Shintani, Tetsuya Onogi
We propose a novel lattice calculation of spontaneous chiral symmetry breaking in QED model with 2+1 dimensional fermion brane. Considering the relativistic action with gauge symme…
Chiral behavior of kaon semileptonic form factors in lattice QCD with exact chiral symmetry
JLQCD Collaboration, T. Kaneko, S. Aoki +6
We calculate the kaon semileptonic form factors in lattice QCD with three flavors of dynamical overlap quarks. Gauge ensembles are generated at pion masses as low as 290 MeV and at…
Pion form factors in the epsilon regime
JLQCD Collaboration, H. Fukaya, S. Aoki +6
We consider how to extract the pion form factors in the epsilon regime. Using the correlators with non-zero momenta and taking appropriate ratios of them, we eliminate the dominant…
Nucleon strange quark content from N_f=2+1 lattice QCD with exact chiral symmetry
JLQCD Collaboration, H. Ohki, K. Takeda +6
We calculate the strange quark content of the nucleon in 2+1-flavor lattice QCD. Chirally symmetric overlap fermion formulation is used to avoid the contamination from up and down…
Chiral symmetry breaking in lattice QED model with fermion brane
E. Shintani, T. Onogi
We propose a novel approach to the Graphene system using a local field theory of 4 dimensional QED model coupled to 2+1 dimensional Dirac fermions, whose velocity is much smaller t…
Kaon semileptonic form factors in QCD with exact chiral symmetry
JLQCD Collaboration, T. Kaneko, S. Aoki +6
We report on our calculation of the kaon semileptonic form factors in Nf=2+1 lattice QCD. Chiral symmetry is exactly preserved by using the overlap quark action for a straightforwa…
Lattice study of 4d {\cal N}=1 super Yang-Mills theory with dynamical overlap gluino
The JLQCD Collaboration, S. -W. Kim, H. Fukaya +4
We report on a lattice simulation result for four-dimensional {\cal N}=1 SU(2) super Yang-Mills theory with the dynamical overlap gluino. We study the spectrum of the overlap Dirac…
The Infrared behavior of SU(3) Nf=12 gauge theory -about the existence of conformal fixed point-
Kenji Ogawa, Tatsumi Aoyama, Hiroaki Ikeda +8
Incorporated with twisted boundary condition, Polyakov loop correlators can give a definition of the renormalized coupling. We employ this scheme for the step scaling method (with…