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We study the relation between chiral and $U_A(1)$ symmetries in the quark-meson model. Although quarks and mesons are described in mean field approximation, the topological susceptibility characterizing the $U_A(1)$ breaking comprises two…

High Energy Physics - Phenomenology · Physics 2023-09-01 Jianing Li , Jin Gui , Pengfei Zhuang

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 investigate the full U(3)$\otimes$U(3) chiral symmetry restoration, at finite temperature and density, on the basis of a quark model which incorporates the most relevant properties of QCD in this context: explicit and spontaneous…

High Energy Physics - Phenomenology · Physics 2016-09-06 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

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 investigate the possible restoration of chiral and axial symmetries across the phase transition at finite temperature and chemical potential, by analyzing the behavior of several physics quantities, such as the quark condensates and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. C. Ruivo , Pedro Costa , C. A. de Sousa

We investigate the restoration of chiral symmetry at finite temperature in the SU(2) quark meson model where the mean field approximation is compared to the renormalized version for quarks and mesons. In a combined approach at finite…

High Energy Physics - Phenomenology · Physics 2018-04-18 Andreas Zacchi , Jürgen Schaffner-Bielich

We investigated the chiral symmetry and U_A(1) anomaly at finite temperature by applying the functional renormalization group to the SU(3) linear sigma model. Expanding the local potential around the classical fields, we derived the flow…

High Energy Physics - Phenomenology · Physics 2015-06-11 Yin Jiang , Pengfei Zhuang

We discuss recent results regarding the interplay between chiral and $U(1)_A$ symmetry restoration, both from the point of view of Ward Identities relating meson susceptibilities and quark condensates, and from the behaviour of light meson…

High Energy Physics - Phenomenology · Physics 2021-11-30 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Andrea Vioque-Rodríguez

We study the restoration of chiral symmetry in linear sigma models with two quark flavors. The models taken into consideration have a U(2)_L x U(2)_R and an O(4) internal symmetry. The physical mesons of these models are sigma, pion, eta…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Michalski

The effective restoration of the U_{A}(1) symmetry is revisited by implementing the functional renormalization group approach combining with the 2+1 flavor Polyakov-loop quark-meson model. A temperature-dependent 't Hooft term is taken to…

High Energy Physics - Phenomenology · Physics 2020-04-01 Xiang Li , Wei-jie Fu , Yu-xin Liu

We study patterns of chiral symmetry breaking at zero temperature and its subsequent restoration at nonzero temperature within the $SU(3)_{r} \times SU(3)_{\ell}$ linear sigma model. Gap equations for the masses of the scalar and…

Nuclear Theory · Physics 2011-07-19 J. T. Lenaghan , D. H. Rischke , J. Schaffner-Bielich

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model…

High Energy Physics - Phenomenology · Physics 2019-04-17 Simon Resch , Fabian Rennecke , Bernd-Jochen Schaefer

The effective restoration of the chiral U(A)(1) symmetry in strong interactions is studied using the linear chiral SU(3)xSU(3) model at finite temperatures. We find that the disappearance of the chiral anomaly causes a considerable change…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. Schaffner-Bielich

We model the effects of a large number of zero and near-zero modes in the QCD partition function by using sparse chiral matrix models with an emphasis on the quenched topological susceptibility in the choice of the measure. At finite…

High Energy Physics - Lattice · Physics 2009-10-31 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed

The interplay of mesonic fluctuations with an axial $U(1)_A$-symmetry breaking and resulting effects on the location of a possibly existing critical endpoint in the QCD phase diagram are investigated in a framework of the functional…

High Energy Physics - Phenomenology · Physics 2013-12-16 Bernd-Jochen Schaefer , Mario Mitter

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

Thermal behavior of effective, chiral condensate-dependent $U_A(1)$ anomaly couplings is investigated using the functional renormalization group approach in the $N_f = 3$ flavor meson model. We derive flow equations for anomaly couplings…

High Energy Physics - Phenomenology · Physics 2024-02-29 G. Fejos , A. Patkos

We investigate the restoration patterns of chiral and $U(1)$ axial symmetries at finite temperature using a soft-wall holographic QCD model. The study employs two distinct parameter sets (Case I and Case II), both calibrated to reproduce a…

High Energy Physics - Phenomenology · Physics 2026-03-16 Hiwa A. Ahmed , Danning Li , Mamiya Kawaguchi , Mei Huang

We investigate the physical consequences of the survival of the effects of the U(1)_A anomaly in the chiral symmetric phase of QCD, and show that the free energy density is a singular function of the quark mass m, in the chiral limit, and…

High Energy Physics - Lattice · Physics 2017-07-19 Vicente Azcoiti

We discuss the role of the U(1) axial symmetry for the phase structure of QCD at finite temperature. We expect that, above a certain critical temperature, also the U(1) axial symmetry will be (effectively) restored. We will try to see if…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Marchi , E. Meggiolaro
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