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Related papers: Chiral and U_A(1) symmetry in correlation function…

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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 revisit the question of whether the U_A(1) symmetry is effectively restored in hot and dense medium. In particular, by generalizing the Witten-Veneziano formula to finite temperature, we investigate whether the mass of eta'-meson will…

Nuclear Theory · Physics 2013-05-30 Youngshin Kwon , Su Houng Lee , Kenji Morita , Gyuri Wolf

The spontaneous breaking of chiral symmetry is examined by chiral effective theories, such as the linear sigma model and the Nambu Jona-Lasinio (NJL) model. Indicating that sufficiently large contribution of the UA(1) anomaly can break…

Nuclear Theory · Physics 2021-10-11 Shinnosuke Kono , Daisuke Jido , Yoshiki Kuroda , Masayasu Harada

We systematically study quantum effect on chiral and $U_A(1)$ symmetry breaking under external electromagnetic fields in the frame of equal-time Wigner function formalism. We derive the transport and constraint equations for the quark…

High Energy Physics - Theory · Physics 2018-07-25 Xingyu Guo , Pengfei Zhuang

The Banks--Casher relation links the spontaneous breaking of chiral symmetry in QCD to the presence of a non-zero density of quark modes at the low end of the spectrum of the Dirac operator. Spectral observables like the number of modes in…

High Energy Physics - Lattice · Physics 2009-03-31 Leonardo Giusti , Martin Lüscher

We analyze the creation of near-zero modes from would-be zero modes of various topological charge contributions from classical center vortices in SU(2) lattice gauge theory. We show that colorful spherical vortex and instanton…

High Energy Physics - Lattice · Physics 2015-09-02 Roman Höllwieser , Manfried Faber , Thomas Schweigler , Urs M. Heller

The approach to the eta'-eta complex employing chirally well-behaved quark-antiquark bound states and incorporating the non-Abelian axial anomaly of QCD through the generalization of the Witten-Veneziano relation, is extended to finite…

High Energy Physics - Phenomenology · Physics 2019-01-16 Davor Horvatić , Dalibor Kekez , Dubravko Klabučar

The effect of mixing of the vector and axial vector correlation functions in the nuclear medium arising from the interaction of nuclear pions with corresponding interpolating currents is considered. It is shown that the mass difference…

High Energy Physics - Phenomenology · Physics 2009-10-30 Boris Krippa

Chiral symmetry breaking patterns are investigated in the U_L(n)xU_R(n) meson model. It is shown that new classes of minima of the effective potential belonging to the center of the Lie algebra exist for arbitrary flavor number n. The true…

High Energy Physics - Phenomenology · Physics 2015-06-12 G. Fejos

We compute the vacuum energy density as a function of the quark condensate in the interacting instanton liquid model (IILM) and examine the pattern of dynamical chiral symmetry breaking from its behavior around the origin. This evaluation…

High Energy Physics - Phenomenology · Physics 2024-12-31 Yamato Suda , Daisuke Jido

The in-medium eta' mass and the eta'N interaction are investigated in an effective theory based on the linear realization of the SU(3) chiral symmetry. We find that a large part of the eta' mass is generated by the spontaneous breaking of…

Nuclear Theory · Physics 2013-12-16 Shuntaro Sakai , Daisuke Jido

Remarkable symmetry properties appear to arise in lattice calculations of correlation functions in which the lowest-lying eigenmodes of the Dirac operator in quark propagators are removed by hand. The Banks-Casher relation ties the chiral…

High Energy Physics - Lattice · Physics 2016-03-02 Thomas D. Cohen

The $U(1)_A$ boson mass is calculated through the phenomenological characteristics of the vacuum related to spontaneous breaking of chiral symmetry in QCD. The mass is determined by the mixed quark-gluon condensate $\langle \bar q G q…

High Energy Physics - Phenomenology · Physics 2019-08-20 Thomas Mannel , Alexei A. Pivovarov

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

Chiral effective theory of light diquarks is revisited. We construct an effective Lagrangian based on the linear representation of three-flavor chiral symmetry. Here, we focus on the effect of a chiral and $U(1)_A$ symmetric term originated…

High Energy Physics - Phenomenology · Physics 2025-02-18 Yonghee Kim , Makoto Oka , Kei Suzuki

In-medium modification of the eta' mass is discussed in the context of partial restoration of chiral symmetry in nuclear medium. We emphasize that the U_A(1) anomaly effects causes the eta'-eta mass difference necessarily through the chiral…

Nuclear Theory · Physics 2012-12-14 Daisuke Jido , Shuntaro Sakai , Hideko Nagahiro , Satoru Hirenzaki , Natsumi Ikeno

I discuss the consequences of the constraints imposed on the Dirac spectrum by the restoration of chiral symmetry in the chiral limit of gauge theories with two light fermion flavors, with particular attention to the fate of the anomalous…

High Energy Physics - Lattice · Physics 2025-10-29 Matteo Giordano

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 relative contributions of explicit and dynamical chiral symmetry breaking in QCD models of the quark-gap equation are studied in dependence of frequently employed ans\"atze for the dressed interaction and quark-gluon vertex. The…

High Energy Physics - Phenomenology · Physics 2019-05-29 Fernando E. Serna , Chen Chen , Bruno El-Bennich

The constraints imposed by chiral symmetry on hadron correlation functions in nuclear medium are discussed. It is shown that these constraints implies the certain structure of the in-medium hadron correlators and lead to the cancellation of…

Nuclear Theory · Physics 2007-05-23 Boris Krippa
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