scholarly journals Chiral Symmetry and Scalar Meson in Hadron and Nuclear Physics

2013 ◽  
Vol 120 (0) ◽  
pp. 75-93
Author(s):  
T. Kunihiro
Keyword(s):  
Chiral Symmetry ◽  
Nuclear Physics ◽  
Scalar Meson

scholarly journals In search of a pristine signal for (scale-)chiral symmetry in nuclei

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740023 ◽  
Author(s):  
Mannque Rho
Keyword(s):  
Chiral Symmetry ◽  
Nuclear Physics ◽  
Local Symmetry ◽  
Point Interaction ◽  
Strongly Correlated ◽  
Scale Invariant ◽  
Unpublished Note ◽  
Nuclear Interactions ◽  
Vector Formula

I describe the long-standing search for a “smoking-gun” signal for the manifestation of (scale-)chiral symmetry in nuclear interactions. It is prompted by Gerry Brown’s last unpublished note, reproduced verbatim below, on the preeminent role of pions and vector ([Formula: see text]) mesons in providing a simple and elegant description of strongly correlated nuclear interactions. In this note written in tribute to Gerry Brown, I first describe a case of an unambiguous signal in axial-charge transitions in nuclei and then combine his ideas with the more recent development on the role of hidden symmetries in nuclear physics. What transpires is the surprising conclusion that the Landau–Migdal fixed point interaction [Formula: see text], the nuclear tensor forces and Brown–Rho scaling, all encoded in scale-invariant hidden local symmetry, as Gerry put, “run the show and make all forces equal.”

scholarly journals Chiral Symmetry Breaking in the Dual Ginzburg - Landau Theory

1997 ◽  
Vol 50 (1) ◽  
pp. 199 ◽  
Author(s):  
Hiroshi Toki ◽  
Shoichi Sasaki ◽  
Hiroko Ichie ◽  
Hideo Suganuma
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Nuclear Physics ◽  
Degrees Of Freedom ◽  
Landau Theory ◽  
Chiral Symmetry Breaking ◽  
Quark Confinement ◽  
Strong Connection ◽  
Ginzburg Landau ◽  
Spontaneous Breakdown

Confinement and spontaneous chiral symmetry breaking are the most fundamental phenomena in quark nuclear physics, where hadrons and nuclei are described in terms of quarks and gluons. The dual Ginzburg–Landau (DGL) theory contains monopole fields as the most essential degrees of freedom. Their condensation in the vacuum is modelled to describe quark confinement in strong connection with QCD. We then demonstrate that the DGL theory is able to describe the spontaneous breakdown of chiral symmetry.

scholarly journals Inverse mass hierarchy of light scalar mesons driven by anomaly-induced flavor breaking

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Yoshiki Kuroda ◽  
Masayasu Harada ◽  
Shinya Matsuzaki ◽  
Daisuke Jido
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Scalar Meson ◽  
Chiral Symmetry Breaking ◽  
Linear Sigma Model ◽  
Mass Hierarchy ◽  
Scalar Mesons ◽  
Light Scalar ◽  
Symmetry Breaking Term ◽  
Breaking Term

Abstract We propose a novel mechanism to reproduce the observed mass hierarchy for scalar mesons lighter than 1 GeV (called the inverse hierarchy), regarding them as mesons made of a quark and an anti-quark ($q\bar{q}$ mesons). The source is provided by the SU(3) flavor-symmetry breaking induced by the U(1) axial anomaly. In particular, the anomaly term including the explicit chiral symmetry breaking plays a significant role in the light scalar meson spectrum. To be concrete, we construct a linear sigma model for scalar mesons of $q\bar{q}$ type together with their pseudoscalar chiral partners, including an anomaly-induced explicit chiral symmetry-breaking term. We find that, due to the proposed mechanism, the inverse hierarchy, i.e., $m\left[ a_0 (980) \right] \simeq m\left[ f_0 (980) \right] > m \left[ K_0^\ast (700) \right] > m \left[ f_0(500) \right]$, is indeed realized. Consequently, the quark content of $f_0 (500)$ is dominated by the isoscalar $\bar uu+ \bar dd$ component, and $f_0 (980)$ by the strange quark bilinear one, $s\bar{s}$.

ON THE PHENOMENOLOGICAL σ MODELS

1994 ◽  
Vol 09 (20) ◽  
pp. 3669-3681 ◽  
Author(s):  
N.N. ACHASOV ◽  
G.N. SHESTAKOV
Keyword(s):  
Chiral Symmetry ◽  
Scalar Meson ◽  
Phenomenological Description ◽  
Decay Widths ◽  
Scalar Resonances

The question of the phenomenological description of the broad scalar resonances compatible with chiral symmetry and unitarity is discussed within the linear σ model. It is shown that the naive consideration of the decay widths in the scalar-meson propagators is not an adequate approximation for the physical amplitudes. In this connection Refs. 8–10 are critically discussed. In particular, the K+→ π+π−e+ν and Ks→ππ decays are treated within the linear σ model with due regard for the unitarity.

scholarly journals Degeneracy Patterns of Chiral Companions at Finite Temperature

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1400
Author(s):  
Juan M. Torres-Rincon
Keyword(s):  
Chiral Symmetry ◽  
Nuclear Physics ◽  
Degrees Of Freedom ◽  
Sigma Model ◽  
Smooth Transition ◽  
Linear Sigma Model ◽  
Spontaneous Breaking ◽  
Low Energies ◽  
Effective Theories ◽  
Chiral Partner

Chiral symmetry represents a fundamental concept lying at the core of particle and nuclear physics. Its spontaneous breaking in vacuum can be exploited to distinguish chiral hadronic partners, whose masses differ. In fact, the features of this breaking serve as guiding principles for the construction of effective approaches of QCD at low energies, e.g., the chiral perturbation theory, the linear sigma model, the (Polyakov)–Nambu–Jona-Lasinio model, etc. At high temperatures/densities chiral symmetry can be restored bringing the chiral partners to be nearly degenerated in mass. At vanishing baryochemical potential, such restoration follows a smooth transition, and the chiral companions reach this degeneration above the transition temperature. In this work I review how different realizations of chiral partner degeneracy arise in different effective theories/models of QCD. I distinguish the cases where the chiral states are either fundamental degrees of freedom or (dynamically-generated) composed states. In particular, I discuss the intriguing case in which chiral symmetry restoration involves more than two chiral partners, recently addressed in the literature.

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