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Related papers: Is the U$_A$(1) symmetry restored at finite temper…

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We investigate the restoration of chiral SU$(3)\otimes$SU$(3)$ and axial U$_A$(1) symmetries, at finite temperature and density, in the framework of the three flavor Nambu-Jona-Lasinio model with anomaly. We implement a temperature…

High Energy Physics - Phenomenology · Physics 2022-09-21 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

We explore the effects of breaking and restoration of chiral and axial symmetries using an extended three-flavor Nambu-Jona-Lasinio model that incorporates explicitly the axial anomaly through the 't Hooft interaction. We implement a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

We consider the three flavor Nambu-Jona-Lasinio model with the 't Hooft interaction incorporating the U(1)_A anomaly. In order to set the coupling strength of the 't Hooft term, we employ the topological susceptibility $\chi$ instead of the…

Nuclear Theory · Physics 2009-11-07 K. Ohnishi , K. Fukushima , K. Ohta

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

The effective restoration of chiral and axial symmetries is investigated within the framework of the SU(3) Nambu-Jona-Lasinio model. The topological susceptibility, modeled from lattice data at finite temperature, is used to extract the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

We explore patterns of effective restoration of the chiral U$_A$(1) symmetry using an extended three-flavor Nambu-Jona-Lasinio model that incorporates explicitly the axial anomaly through the 't Hooft interaction, and assuming that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

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 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 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

The $U(1)_A$ symmetry of the massless QCD Lagrangian is explicitly broken by the axial anomaly, but it may be effectively restored at finite temperature. Determining the temperature at which this occurs is important for understanding the…

High Energy Physics - Lattice · Physics 2026-04-15 Gert Aarts , Chris Allton , Ryan Bignell , Benjamin Jäger , Seyong Kim , Jon-Ivar Skullerud , Antonio Smecca

The structure of chiral symmetry restorations at finite temperature is thoroughly investigated in the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term. It is found that the broken chiral symmetry at vanishing…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Hashida , T. Muta , K. Ohkura

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

We review the so called A-scaled Nambu-Jona-Lasinio model both in the vacuum and at finite temperature and density in the case of three flavors. Starting from QCD and integrating out the gluons, we show how to reintroduce some of their…

Nuclear Theory · Physics 2007-05-23 B. Van den Bossche

We consider a two flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model where the Lagrangian includes an interaction term that explicitly breaks the U$_A(1)$ anomaly. At finite temperature, the restoration of chiral and axial symmetries,…

High Energy Physics - Phenomenology · Physics 2012-02-21 M. C. Ruivo , M. Santos , Pedro Costa , C. A. de Sousa

The effects of a type of regularization for finite temperatures on the estoration of chiral and axial symmetries are investigated within the SU(3) Nambu-Jona-Lasinio model. The regularization consists in using an infinite cutoff in the…

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

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 $U(1)_A$ symmetry of the massless QCD Lagrangian is explicitly broken in the quantised theory by the anomaly. It may be effectively restored at some finite temperature, which would have important consequences for the order of the chiral…

High Energy Physics - Lattice · Physics 2026-01-30 Ryan Bignell , Gert Aarts , Chris Allton , Benjamin Jäger , Seyong Kim , Jon-Ivar Skullerud , Antonio Smecca

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

We discuss our recent results regarding chiral and $U(1)_A$ restoration, both from the formal point of view of QCD Ward Identities (WI) and from an Effective Theory analysis provided by $U(3)$ Chiral Perturbation Theory (ChPT) at finite…

High Energy Physics - Phenomenology · Physics 2019-05-07 A. Gómez Nicola , J. Ruiz de Elvira , A. Vioque-Rodríguez , S. Ferreres-Solé

We study $U_A(1)$ symmetry and its relation to chiral symmetry at finite temperature through the application of functional renormalization group to the $SU(3)$ quark meson model. Very different from the mass gap and mixing angel between…

High Energy Physics - Phenomenology · Physics 2016-04-13 Yin Jiang , Tao Xia , Pengfei Zhuang
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