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Related papers: Chiral and $U(1)_A$ restoration for the scalar/pse…

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We present and analyze a new set of Ward Identities which shed light on the distinction between different patterns of chiral symmetry restoration in QCD, namely $O(4)$ vs $O(4)\times U(1)_A$. The degeneracy of chiral partners for all scalar…

High Energy Physics - Phenomenology · Physics 2018-04-25 A. Gomez Nicola , J. Ruiz de Elvira

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 review recent results on chiral $SU(2)_L\times SU(2)_R\approx O(4)$ and $U(1)_A$ symmetry restoration in QCD. In particular, we discuss how Ward Identities allow one to derive general results on partner degeneration, which shed light on…

High Energy Physics - Phenomenology · Physics 2017-12-04 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Silvia Ferreres-Solé , Andrea Vioque-Rodríguez

We describe Scalar-Pseudoscalar partner degeneration at the QCD chiral transition in terms of the dominant low-energy physical states for the light quark sector. First, we obtain within model-independent one-loop Chiral Perturbation Theory…

High Energy Physics - Phenomenology · Physics 2013-10-30 A. Gomez Nicola , J. Ruiz de Elvira , R. Torres Andres

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 derive the formal Ward identities relating pseudoscalar susceptibilities and quark condensates in three-flavor QCD, including consistently the $\eta$-$\eta'$ sector and the $U_A(1)$ anomaly. These identities are verified in the…

High Energy Physics - Phenomenology · Physics 2017-10-24 A. Gomez Nicola , J. Ruiz de Elvira

We discuss recent advances on QCD chiral symmetry restoration at finite temperature, within the theoretical framework of Effective Theories. $U(3)$ Ward Identities are derived between pseudoscalar susceptibilities and quark condensates,…

High Energy Physics - Phenomenology · Physics 2017-04-05 Angel Gomez Nicola , Santiago Cortes , John Morales , Jacobo Ruiz de Elvira , Ricardo Torres Andres

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 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

We review recent work on thermal resonances and their connection with chiral symmetry and $U(1)_A$ restoration within the QCD phase diagram. In particular, the $f_0(500)$ and $K_0^* (700)$ states generated from $\pi\pi$ and $\pi K$…

High Energy Physics - Phenomenology · Physics 2022-03-08 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Andrea Vioque-Rodríguez

We review recent results on the role of light quark states within the QCD phase diagram. In particular, we will discuss how the combined use of theoretical techniques such as Effective Theories, Unitarization and Ward Identities helps to…

High Energy Physics - Phenomenology · Physics 2021-06-16 Angel Gómez Nicola

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 $U(1)_A$ 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

We review the current situation of the pattern of chiral symmetry restoration. In particular, we analyze partner degeneration for $O(4)$ and $U(1)_A$ symmetries within the context of Ward Identities and Effective Theories. The application…

High Energy Physics - Phenomenology · Physics 2019-10-23 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Andrea Vioque-Rodríguez

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 present results on both the restoration of the spontaneously broken chiral symmetry and the effective restoration of the anomalously broken U(1)_A symmetry in finite temperature QCD at zero chemical potential using lattice QCD. We employ…

We review recent work regarding the role of light scalar resonances at finite temperature for chiral symmetry and $U(1)_A$ restoration. The results obtained are based on unitarized Chiral Perturbation Theory and Ward Identities and are…

High Energy Physics - Phenomenology · Physics 2023-12-22 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

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 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
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