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Journal Articles

Axial U(1) symmetry at high temperatures in $$N_f=2+1$$ lattice QCD with chiral fermions

Aoki, 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.

Journal Articles

What is chiral susceptibility probing?

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 $$U(1)$$ anomaly was considered as a trigger for the breaking of the $$SU(2)_Ltimes SU(2)_R$$ 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 $$U(1)$$ 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 $$SU(2)_Ltimes SU(2)_R$$ breaking, is actually dominated by the axial $$U(1)$$ breaking at temperatures $$Tge 165$$ MeV.

Journal Articles

Role of the axial $$U(1)$$ anomaly in the chiral susceptibility of QCD at high temperature

Aoki, 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:82.94(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 $$SU(2)_L times SU(2)_R$$ symmetry breaking. However, the chiral condensate also breaks the axial $$U(1)$$ 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 $$U(1)$$ breaking contributes to the chiral phase transition. Employing a chirally symmetric lattice Dirac operator and its eigenmode decomposition, we separate the axial $$U(1)$$ breaking effects from others. Our result in two-flavor QCD indicates that both of the connected and disconnected chiral susceptibilities are dominated by axial $$U(1)$$ breaking at temperatures $$Tgeq 190$$ MeV after the quadratically divergent constant is subtracted.

Journal Articles

Lattice-fermionic Casimir effect and topological insulators

Ishikawa, Tsutomu*; Nakayama, Katsumasa*; Suzuki, Kei

Physical Review Research (Internet), 3(2), p.023201_1 - 023201_23, 2021/06

The Casimir effect arises from the zero-point energy of particles in momentum space deformed by the existence of two parallel plates. For degrees of freedom on the lattice, its energy-momentum dispersion is determined so as to keep a periodicity within the Brillouin zone, so that its Casimir effect is modified. We study the properties of Casimir effect for lattice fermions, such as the naive fermion, Wilson fermion, and overlap fermion based on the M$"o$bius domain-wall fermion formulation, in the $$1+1$$, $$2+1$$, and $$3+1$$ dimensional spacetime with the periodic or antiperiodic boundary condition. An oscillatory behavior of Casimir energy between odd and even lattice size is induced by the contribution of ultraviolet-momentum (doubler) modes, which realizes in the naive fermion, Wilson fermion in a negative mass, and overlap fermions with a large domain-wall height. Our findings can be experimentally observed in condensed matter systems such as topological insulators and also numerically measured in lattice simulations.

Journal Articles

Study of the axial $$U(1)$$ anomaly at high temperature with lattice chiral fermions

Aoki, 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:14 Percentile:73.22(Astronomy & Astrophysics)

We investigate the axial $$U(1)$$ anomaly of two-flavor QCD at temperatures 190-330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the M$"o$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 $$U(1)$$ susceptibility, and examine the degeneracy of $$U(1)$$ partners in meson/baryon correlators. All the data above the critical temperature indicate that the axial $$U(1)$$ violation is consistent with zero within statistical errors. The quark mass dependence suggests disappearance of the $$U(1)$$ anomaly at a rate comparable to that of the $$SU(2)_L times SU(2)_R$$ symmetry breaking.

Journal Articles

Casimir effect for lattice fermions

Ishikawa, Tsutomu*; Nakayama, Katsumasa*; Suzuki, Kei

Physics Letters B, 809, p.135713_1 - 135713_7, 2020/10

AA2020-0811.pdf:0.54MB

 Times Cited Count:10 Percentile:75.97(Astronomy & Astrophysics)

We propose a definition of the Casimir energy for free lattice fermions. From this definition, we study the Casimir effects for the massless or massive naive fermion, Wilson fermion, and (M$"o$bius) domain-wall fermion in 1+1 dimensional spacetime with the spatial periodic or antiperiodic boundary condition. For the naive fermion, we find an oscillatory behavior of the Casimir energy, which is caused by the difference between odd and even lattice sizes. For the Wilson fermion, in the small lattice size of $$N geq 3$$, the Casimir energy agrees very well with that of the continuum theory, which suggests that we can control the discretization artifacts for the Casimir effect measured in lattice simulations. We also investigate the dependence on the parameters tunable in M$"o$bius domain-wall fermions. Our findings will be observed both in condensed matter systems and in lattice simulations with a small size.

Journal Articles

Axial U(1) symmetry and mesonic correlators at high temperature in $$N_f=2$$ lattice QCD

Suzuki, 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 $$N_f=2$$ dynamical M$"o$bius domain-wall fermions. On generated configurations, we study the axial $$U(1)$$ 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 M$"o$bius 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 $$U(1)$$ anomaly at temperatures $$geq$$ 220 MeV.

Journal Articles

Symmetries of the light hadron spectrum in high temperature QCD

Rohrhofer, C.*; Aoki, Yasumichi*; Cossu, G.*; Fukaya, Hidenori*; Gattringer, C.*; Glozman, L. Ya.*; Hashimoto, Shoji*; Lang, C. B.*; Suzuki, Kei

Proceedings of Science (Internet), 363, p.227_1 - 227_7, 2020/08

Properties of QCD matter change significantly around the chiral crossover temperature, and the effects on $$U(1)_A$$ and topological susceptibilities, as well as the meson spectrum have been studied with much care. Baryons and the effect of parity doubling in this temperature range have been analyzed previously by various other groups employing different setups. Here we construct suitable operators to investigate chiral and axial $$U(1)_A$$ symmetries in the baryon spectrum. Measurements for different volumes and quark-masses are done with two flavors of chirally symmetric domain-wall fermions at temperatures above the critical one. The possibility of emergent $$SU(4)$$ and $$SU(2)_{CS}$$ symmetries is discussed.

Journal Articles

Interrelation between speckle images in X-ray diffraction spots of YBa$$_{2}$$Cu$$_{3}$$O$$_{7-x}$$ and its superconductive phase transition

Suzuki, Takuya*; Takano, Hidekazu*; Takeuchi, Akihisa*; Uesugi, Kentaro*; Asaoka, Hidehito; Suzuki, Yoshio*

Advances in X-Ray Chemical Analysis, Japan, 36, p.249 - 257, 2005/03

no abstracts in English

Journal Articles

X-ray diffraction topography on ferroelectric materials

Yoneda, Yasuhiro; Komura, Yoshiki*; Suzuki, Yoshio*; Hamazaki, Shinichi*; Takashige, Masaaki*; Mizuki, Junichiro

Transactions of the Materials Research Society of Japan, 30(1), p.51 - 54, 2005/03

no abstracts in English

Journal Articles

X-ray topography on domain-controlled BaTiO$$_3$$ crystals

Yoneda, Yasuhiro; Mizuki, Junichiro; Komura, Yoshiki*; Suzuki, Yoshio*; Hamazaki, Shinichi*; Takashige, Masaaki*

Japanese Journal of Applied Physics, 43(9B), p.6821 - 6824, 2004/09

 Times Cited Count:9 Percentile:37.39(Physics, Applied)

no abstracts in English

Journal Articles

X-ray diffraction topography on a BaTiO$$_3$$ crystal

Yoneda, Yasuhiro; Komura, Yoshiki*; Suzuki, Yoshio*; Hamazaki, Shinichi*; Takashige, Masaaki*

Journal of the Physical Society of Japan, 73(4), p.1050 - 1053, 2004/04

We have observed 90 $$^{circ}$$C domain walls in a bulk BaTiO$$_3$$ crystal by Synchrotron radiation topography, coupled with a CCD detector. The BaTiO$$_3$$ multi-domain crystal was revealed to be strained at the 90 $$^{circ}$$C domain boundary. The polar direction of the BaTiO$$_3$$ crystal was tilted by this starin, and this strain also causes the irregular angle of the surface bending mode. The Synchrotron X-ray topography can be performed on a sample with electrodes. The topographic image of the ferroelectric doamin with an electric field clarified that the well-known stripe domain configuration can not be observed without a weak electric field due to the lattice strain at the doamin boundary.

Journal Articles

X-ray diffraction topography on a BaTiO$$_3$$ crystal

Yoneda, Yasuhiro; Komura, Yoshiki*; Suzuki, Yoshio*; Hamazaki, Shinichi*; Takashige, Masaaki*

Journal of the Physical Society of Japan, 73(4), p.1050 - 1053, 2004/04

 Times Cited Count:11 Percentile:55.59(Physics, Multidisciplinary)

We have observed 90$$^{circ}$$ domain walls in a bulk BaTiO$$_3$$ crystal by Synchrotron radiation topography, coupled with a CCD detector. The BaTiO$$_3$$ multi-domain crystal was revealed to be strained at the 90$$^{circ}$$ domain boundary. The polar direction of the BaTiO$$_3$$ crystal was tilted by this starin, and this strain also causes the irregular angle of the surface bending mode. The Synchrotron X-ray topography can be performed on a sample with electrodes. The topographic image of the ferroelectric doamin with an electric field clarified that the well-known stripe domain configuration can not be observed without a weak electric field due to the lattice strain at the doamin boundary.

Journal Articles

Domain boundaries in the GaAs(001)-2$$times$$4 surface

Takahashi, Masamitsu; Yoneda, Yasuhiro; Yamamoto, Naomasa*; Mizuki, Junichiro

Physical Review B, 68(8), p.085321_1 - 085321_5, 2003/08

 Times Cited Count:17 Percentile:62.72(Materials Science, Multidisciplinary)

The $$alpha$$, $$beta$$ and $$gamma$$ phases of the GaAs(001)-2$$times$$4 surface have been investigated by ${it in situ}$ surface X-ray diffraction in an As flux and at temperatures ranging from 480$$^circ$$C to 610$$^circ$$C. It has been found that the fractional-order peaks originating from the fourfold symmetry show shift in the [110] direction as well as significant broadening of the peaks in the $$alpha$$ and $$gamma$$ phases. The direction of the peak shift is characteristic in each phase. This behavior is explained by the formation of the antiphase domain boundaries. The atomic structure of the domain boundaries is discussed.

Journal Articles

Picosecond snapshot of the speckles from ferroelectric BaTiO$$_{3}$$ by means of X-ray lasers

Tai, R.; Namikawa, Kazumichi*; Kishimoto, Maki; Tanaka, Momoko; Sukegawa, Kota*; Hasegawa, Noboru; Kawachi, Tetsuya; Kado, Masataka; Lu, P.; Nagashima, Keisuke; et al.

Physical Review Letters, 89(25), p.257602_1 - 267602_4, 2002/12

 Times Cited Count:40 Percentile:81.12(Physics, Multidisciplinary)

no abstracts in English

Journal Articles

Dielectric investigation of [(SrTiO$$_{3}$$)$$_{6}$$(BaTiO$$_{3}$$)$$_{6}$$]$$_{2}$$ multilayer capacitor

Yoneda, Yasuhiro; Sakaue, Kiyoshi*; Terauchi, Hikaru*

Japanese Journal of Applied Physics, Part 1, 40(12), p.6888 - 6892, 2001/12

 Times Cited Count:2 Percentile:11.78(Physics, Applied)

no abstracts in English

Journal Articles

Phase transition of BaTiO$$_{3}$$ thin films

Yoneda, Yasuhiro; Sakaue, Kiyoshi*; Terauchi, Hikaru*

Journal of Physics; Condensed Matter, 13(42), p.9575 - 9582, 2001/10

 Times Cited Count:19 Percentile:68.05(Physics, Condensed Matter)

no abstracts in English

Journal Articles

Interfaces in block copolymer/homopolymer mixtures forming dry brushes

*; ; *

Physica B; Condensed Matter, 213&214, p.676 - 681, 1995/00

 Times Cited Count:13 Percentile:62.43(Physics, Condensed Matter)

no abstracts in English

Journal Articles

SANS study of segmental distribution of block copolymer chains confined in a microdomain space

; *

Physica B; Condensed Matter, 213-214, p.703 - 706, 1995/00

 Times Cited Count:4 Percentile:31.74(Physics, Condensed Matter)

no abstracts in English

Journal Articles

Spatial distribution of homopolymers in block copolymer microdomains as observed by a combined SANS and SAXS method

; *; *

Macromolecules, 27(26), p.7893 - 7906, 1994/00

 Times Cited Count:105 Percentile:96.33(Polymer Science)

no abstracts in English

33 (Records 1-20 displayed on this page)