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lattice QCD with chiral fermionsAoki, Shinya*; Aoki, Yasumichi*; Fukaya, Hidenori*; Hashimoto, Shoji*; Kanamori, Issaku*; Kaneko, Takashi*; Nakamura, Yoshifumi*; Rohrhofer, C.*; Suzuki, Kei
Proceedings of Science (Internet), 396, p.332_1 - 332_7, 2022/07
The axial U(1) anomaly in high-temperature QCD plays an important role to understand the phase diagram of QCD. The previous works by JLQCD Collaboration studied high-temperature QCD using 2-flavor dynamical chiral fermions such as the domain-wall fermion and reweighted overlap fermion. We extend our simulations to QCD with 2+1-flavor dynamical quarks, where the masses of the up, down, and strange quarks are near the physical point, and the temperatures are close to or higher than the pseudocritical temperature. In this talk, we will present the results for the Dirac spectrum, topological susceptibility, axial U(1) susceptibility, and hadronic collelators.
Aoki, Shinya*; Aoki, Yasumichi*; Fukaya, Hidenori*; Hashimoto, Shoji*; Rohrhofer, C.*; Suzuki, Kei
Proceedings of Science (Internet), 396, p.050_1 - 050_9, 2022/07
In the early days of QCD, the axial 
anomaly was considered as a trigger for the breaking of the 
symmetry through topological excitations of gluon fields. However, it has been a challenge for lattice QCD to quantify the effect. In this work, we simulate QCD at high temperatures with chiral fermions. The exact chiral symmetry enables us to separate the contribution from the axial breaking from others among the susceptibilities in the scalar and pseudoscalar channels. Our result in two-flavor QCD indicates that the chiral susceptibility, which is conventionally used as a probe for breaking, is actually dominated by the axial breaking at temperatures 
MeV.
anomaly in the chiral susceptibility of QCD at high temperatureAoki, Shinya*; Aoki, Yasumichi*; Fukaya, Hidenori*; Hashimoto, Shoji*; Rohrhofer, C.*; Suzuki, Kei
Progress of Theoretical and Experimental Physics (Internet), 2022(2), p.023B05_1 - 023B05_12, 2022/02
Times Cited Count：8 Percentile：81.66(Physics, Multidisciplinary)The chiral susceptibility, or the first derivative of the chiral condensate with respect to the quark mass, is often used as a probe for the QCD phase transition since the chiral condensate is an order parameter of 
symmetry breaking. However, the chiral condensate also breaks the axial symmetry, which is usually not studied as it is already broken by the anomaly and apparently has little impact on the transition. We investigate the susceptibilities in the scalar and pseudoscalar channels in order to quantify how much the axial breaking contributes to the chiral phase transition. Employing a chirally symmetric lattice Dirac operator and its eigenmode decomposition, we separate the axial breaking effects from others. Our result in two-flavor QCD indicates that both of the connected and disconnected chiral susceptibilities are dominated by axial breaking at temperatures 
MeV after the quadratically divergent constant is subtracted.
anomaly at high temperature with lattice chiral fermionsAoki, Shinya*; Aoki, Yasumichi*; Cossu, G.*; Fukaya, Hidenori*; Hashimoto, Shoji*; Kaneko, Takashi*; Rohrhofer, C.*; Suzuki, Kei
Physical Review D, 103(7), p.074506_1 - 074506_18, 2021/04
Times Cited Count：12 Percentile：72(Astronomy & Astrophysics)We investigate the axial anomaly of two-flavor QCD at temperatures 190-330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the M
bius domain-wall fermion action as well as overlap fermion action implemented with a stochastic reweighting technique. Compared to our previous studies, we reduce the lattice spacing to 0.07 fm, simulate larger multiple volumes to estimate finite size effect, and take more than four quark mass points, including one below physical point to investigate the chiral limit. We measure the topological susceptibility, axial susceptibility, and examine the degeneracy of partners in meson/baryon correlators. All the data above the critical temperature indicate that the axial violation is consistent with zero within statistical errors. The quark mass dependence suggests disappearance of the anomaly at a rate comparable to that of the symmetry breaking.
lattice QCDSuzuki, Kei; Aoki, Shinya*; Aoki, Yasumichi*; Cossu, G.*; Fukaya, Hidenori*; Hashimoto, Shoji*; Rohrhofer, C.*
Proceedings of Science (Internet), 363, p.178_1 - 178_7, 2020/08
We investigate the high-temperature phase of QCD using lattice QCD simulations with dynamical Mbius domain-wall fermions. On generated configurations, we study the axial symmetry, overlap-Dirac spectra, screening masses from mesonic correlators, and topological susceptibility. We find that some of the observables are quite sensitive to lattice artifacts due to a small violation of the chiral symmetry. For those observables, we reweight the Mbius domain-wall fermion determinant by that of the overlap fermion. We also check the volume dependence of observables. Our data near the chiral limit indicates a strong suppression of the axial anomaly at temperatures 
220 MeV.
Tsutsui, Kenji; Toyama, Takami*; Maekawa, Sadamichi*
Physica C, 470(Suppl.1), p.S232 - S233, 2010/12
Times Cited Count：0 Percentile：0(Physics, Applied)The spectra of the Cu 
-edge Resonant inelastic X-ray scattering on the ladder cuprates are calculated by using the exact diagonalization method. So far it has been suggested that the momentum-dependence of the spectra on the ladder system is related with the formation of the spin singlet in the ground state. It has also revealed that the stabilization of the spin singlet strongly depends on the sign of the diagonal hopping of holes. In this study, in order to clarify the relationship between the spectra and the formation of the singlet state, the dependence of the spectra on the diagonal hopping of holes is examined. We find that the feature of the spectra is actually changed by the hopping and conclude that the resonant inelastic X-ray scattering can reveal the formation of the spin singlet state in the ladder system.
Tsutsui, Kenji; Toyama, Takami*; Maekawa, Sadamichi*
no journal, ,
We examine theoretically the resonant inelastic X-ray scattering (RIXS) in ladder system by using the exact diagonalization techniques on the single-band Hubbard ladder model. We calculate the RIXS spectrum for each momentum transfer along the leg and the rung directions, and find that the spectral feature is similar to that of the two-dimensional (2D) case. However, in contrast to the hole-doped 2D case, the momentum dependence of the RIXS for the Mott gap excitation unchanges upon doping in the ladder. We consider that the spectral feature upon doping in the ladder comes from the fact that the spin state around holes remains forming the local singlets along the rungs. The result suggests that the RIXS can provide an opportunity for revealing the hole-pairing of the ladder system.
Suzuki, Kei
no journal, ,
In this talk, using lattice QCD simulations with dynamical fermions by JLQCD Collaboration, I will show our recent results of the observables in the high-temperature phase in which the chiral symmetry is restored, such as the axial symmetry, topological charge, Dirac eigenvalue spectra, meson correlators, and screening masses. Our gauge ensembles are generated with Moebius domain-wall fermions, but the measurements such as susceptibilities are reweighted to those for the overlap fermions by using overlap/domain-wall reweighting technique. We find that the 
and topological susceptibilities are strongly suppressed in the small quark mass region. We will also discuss the relation between the susceptibilities and meson correlators.
Suzuki, Kei
no journal, ,
The axial U(1) anomaly in high-temperature QCD plays an important role to understand the phase diagram of QCD. JLQCD Collaboration is studying high-temperature QCD using dynamical chiral fermions such as the domain-wall fermion and reweighted overlap fermion. In this talk, we will present the results for the Dirac spectrum, topological susceptibility, axial U(1) susceptibility, and hadronic collelators.
lattice QCD with chiral fermionsAoki, Shinya*; Aoki, Yasumichi*; Fukaya, Hidenori*; Hashimoto, Shoji*; Kanamori, Issaku*; Kaneko, Takashi*; Nakamura, Yoshifumi*; Rohrhofer, C.*; Suzuki, Kei; Ward, D.*
no journal, ,
Quantum chromodynamics (QCD) is the fundamental theory describing the dynamics of quarks and gluons. The axial U(1) symmetry in QCD is broken at low temperatures by the effect of quantum anomaly, and it is important for understanding the phase structure of QCD to investigate what happens to this symmetry in the high-temperature regime of QCD. In this study, we simulate a high-temperature regime of 2+1 flavor QCD using dynamical chiral fermions such as the domain-wall fermions and the overlap fermions (obtained by the reweighting method). Here, for up- and down-quark masses, we investigate masses heavier than the physical point, near the physical point, and lighter than the physical point. For temperatures, we investigate the near-pseudo-critical temperature and slightly lower and higher temperature regions. For physical quantities, we report results and discussion on the behavior of the Dirac spectrum, axial U(1) susceptibility, topological susceptibility, and hadronic correlation functions.
lattice QCD at high temperaturesAoki, Shinya*; Aoki, Yasumichi*; Fukaya, Hidenori*; Hashimoto, Shoji*; Kanamori, Issaku*; Kaneko, Takashi*; Nakamura, Yoshifumi*; Rohrhofer, C.*; Suzuki, Kei; Ward, D.*
no journal, ,
no abstracts in English
