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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 $SU(2)_L \times SU(2)_R$…

High Energy Physics - Lattice · Physics 2022-01-06 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , C. Rohrhofer , K. Suzuki

We investigate relations between the chiral susceptibility and axial $U(1)$ anomaly in lattice QCD at high temperatures. Employing the exactly chiral symmetric Dirac operator, we separate the purely axial $U(1)$ breaking effect in the…

High Energy Physics - Lattice · Physics 2024-03-27 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , I. Kanamori , T. Kaneko , Y. Nakamura , K. Suzuki , D. Ward

In our recent study of two-flavor lattice QCD using chiral fermions, we find strong suppression of axial U(1) anomaly above the critical temperature of chiral phase transition. Our simulation data also indicate suppression of topological…

High Energy Physics - Lattice · Physics 2018-04-18 Hidenori Fukaya

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 Mobius domain-wall fermion action as well as overlap fermion action implemented…

High Energy Physics - Lattice · Physics 2021-04-28 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko , C. Rohrhofer , K. Suzuki

We investigate the axial $U(1)_A$ symmetry breaking above the critical temperature in two-flavor lattice QCD. The ensembles are generated with dynamical M\"obius domain-wall or reweighted overlap fermions. The $U(1)_A$ susceptibility is…

High Energy Physics - Lattice · Physics 2018-04-18 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto

We study the restoration of the spontaneously broken chiral symmetry and the anomalously broken axial U(1) symmetry in finite temperature QCD at zero chemical potential. We use 2 flavors lattice QCD with optimal domain-wall fermion on the $…

High Energy Physics - Lattice · Physics 2013-12-02 Ting-Wai Chiu , Wen-Ping Chen , Yu-Chih Chen , Han-Yi Chou , Tung-Han Hsieh

The magnitude of the $U_A(1)$ symmetry breaking is expected to affect the nature of $N_f=2$ QCD chiral phase transition. The explicit breaking of chiral symmetry due to realistic light quark mass is small, so it is important to use chiral…

High Energy Physics - Lattice · Physics 2015-10-15 Sayantan Sharma , Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee

We analyze (using a chiral effective Lagrangian model) the scalar and pseudoscalar meson mass spectrum of QCD at finite temperature, above the chiral transition at $T_c$, looking, in particular, for signatures of a possible breaking of the…

High Energy Physics - Phenomenology · Physics 2014-10-15 Enrico Meggiolaro

We investigate the high-temperature phase of QCD using lattice QCD simulations with $N_f = 2$ dynamical M\"obius domain-wall fermions. On generated configurations, we study the axial $U(1)$ symmetry, overlap-Dirac spectra, screening masses…

High Energy Physics - Lattice · Physics 2020-01-23 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Christian Rohrhofer

We consider the simulation of finite temperature QCD with two flavors of dynamical overlap fermions in order to study the suppression of the axial U(1) symmetry breaking at the chiral phase transition point. As a preliminary study, pure…

High Energy Physics - Lattice · Physics 2012-04-23 Guido Cossu , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-ichi Noaki , Eigo Shintani

We study the $U(1)_A$ anomaly at high temperatures of $N_f=2+1$ lattice QCD with chiral fermions. Gauge ensembles are generated with M\"obius domain-wall (MDW) fermions, and the measurements are reweighted to those with overlap fermions. We…

Violation of the $U(1)$ axial symmetry in QCD is stricter than the chiral $SU(2)$ breaking, simply because of the presence of the quantum axial anomaly. If the QCD gauge coupling is sent to zero, the strength of the $U(1)$ axial breaking…

High Energy Physics - Phenomenology · Physics 2024-03-12 Chuan-Xin Cui , Mamiya Kawaguchi , Jin-Yang Li , Shinya Matsuzaki , Akio Tomiya

Based on simulations of 2+1 flavor lattice QCD with M\"obius domain wall fermions at high temperatures, we compute a series of spatial correlation functions to study the screening masses in mesonic states. We compare these masses with the…

High Energy Physics - Lattice · Physics 2024-01-25 David Ward , Sinya Aoki , Yasumichi Aoki , Hidenori Fukaya , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Jishnu Goswami , Yu Zhang

We investigate the nature of the finite-temperature chiral transition in QCD with two light flavors, in the case of an effective suppression of the the U(1)_A symmetry breaking induced by the axial anomaly, which implies the symmetry…

High Energy Physics - Lattice · Physics 2015-07-01 Andrea Pelissetto , Ettore Vicari

The axial $U(1)$ symmetry in the high-temperature phase is investigated with $N_f = 2$ lattice QCD simulations. The gauge ensembles are generated with M\"obius domain-wall fermions, and the overlap/domain-wall reweighting is applied. We…

High Energy Physics - Lattice · Physics 2020-07-13 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto

We study the $U(1)_A$ anomaly in two-flavor lattice QCD at finite temperature with the M\"obius domain-wall Dirac operator. We generate gauge configurations in the temperature range $(0.9, 1.2) T_c$ on different physical volumes, $L=$ 2--4…

High Energy Physics - Lattice · Physics 2015-11-19 JLQCD Collaboration , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Jun-ichi Noaki , Akio Tomiya

Results from numerical simulations of full, two flavor QCD thermodynamics at N_t=4 with domain wall fermions are presented. For the first time a numerical simulation of the full QCD phase transition displays a low temperature phase with…

High Energy Physics - Lattice · Physics 2019-08-14 Pavlos Vranas

We discuss the fate of the axial U(1) symmetry in 2-flavor QCD at finite temperature, where the non-singlet chiral symmetry is restored. We first summarize the previous theoretical investigation on the relation between the eigenvalue…

High Energy Physics - Lattice · Physics 2016-03-04 Sinya Aok for JLQCD Collaboration

We investigate the axial $U(1)$ symmetry restoration at finite temperature in two flavor QCD. We employ the M\"obius domain-wall formalism that is designed to achieve good chiral symmetry. We show the measurements of a difference of meson…

High Energy Physics - Lattice · Physics 2014-12-19 JLQCD Collaboration , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Jun-ichi Noaki , Akio Tomiya

We discuss the role of the U(1) axial symmetry for the phase structure of QCD at finite temperature. In particular, supported by recent lattice results, we analyse a scenario in which a U(1)-breaking condensate survives across the chiral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Enrico Meggiolaro
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