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The chiral symmetry of QCD shows up in the linear Weyl--Wigner mode at short Euclidean distances or at high temperatures. On the other hand, low-lying hadronic states exhibit the nonlinear Nambu--Goldstone mode. An interesting question was…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Shifman , A. Vainshtein

We investigate properties of the quark--antiquark mesons at zero and finite temperature in the framework of a solvable chirally symmetric quark model with linear confining potential. The interquark interaction in the model is reminiscent of…

High Energy Physics - Phenomenology · Physics 2025-04-29 L. Ya. Glozman , A. V. Nefediev , R. F. Wagenbrunn

The pion production by sigma decay and its relation with chiral symmetry restoration in a hot and dense matter are investigated in the framework of the Nambu-Jona-Lasinio model. The decay rate for the process sigma -> 2pion to the lowest…

Nuclear Theory · Physics 2016-09-08 P. Zhuang , Z. Yang

Chiral symmetry is always broken in cold, dense matter, by chiral condensation at low densities and by diquark condensation at high density. We construct here, within a schematic Nambu-Jona-Lasinio (NJL) model, the corresponding generalized…

Nuclear Theory · Physics 2017-08-29 Yifan Song , Gordon Baym

We discuss two-pion correlations as a possible experimental probe into disoriented chiral condensates. In particular, we point out that the iso-singlet squeezed states of the BCS type have peculiar two-particle correlations in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Hideaki Hiro-Oka , Hisakazu Minakata

At a critical temperature QCD in the chiral limit undergoes a chiral restoration phase transition. Above the phase transition the quark condensate vanishes. The Banks-Casher relation connects the quark condensate to a density of the…

High Energy Physics - Phenomenology · Physics 2016-12-28 L. Ya. Glozman

Chiral symmetry is an essential concept in understanding QCD at low energy. We treat the chiral condensate, which measures the spontaneous breaking of chiral symmetry, as a free parameter to investigate the effect of partially restored…

High Energy Physics - Phenomenology · Physics 2008-11-26 Youngman Kim , Hyun Kyu Lee

The SU(3) extension of the linear sigma model is employed to elucidate the effect of including strangeness on the formation of disoriented chiral condensates. By means of a Hartree factorization, approximate dispersion relations for the 18…

Nuclear Theory · Physics 2014-11-18 J. Schaffner-Bielich , J. Randrup

A new formalism to calculate the in-medium chiral condensate is presented. At lower densities, this approach leads to a linear expression. If we demand a compatibility with the famous model-independent result, then the pion-nucleon sigma…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. X. Peng , M. Loewe , U. Lombardo , X. J. Wen

We review recent developments in exploring possible precursory phenomena of partial restoration of chiral symmetry in nuclear medium by examining the spectral function in the scalar channel. We emphasize that the wave function…

High Energy Physics - Phenomenology · Physics 2007-05-23 Teiji Kunihiro

D mesons serve as excellent probes of hot and/or dense strongly interacting matter. They can provide insight into the restoration of chiral symmetry. The chiral condensate as well as other chirally odd condensates, such as certain…

Nuclear Theory · Physics 2014-04-17 Thomas Buchheim , Thomas Hilger , Burkhard Kampfer

The chiral phase transition at finite temperature is investigated in the linear sigma model, which is regarded as a low energy effective theory of QCD with three momentum cutoff, in the variational method with the Gaussian approximation in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Y. Tsue , K. Matsuda

We show how parametric resonance mechanism follows quench mechanism in the classical linear sigma model. The parametric resonance amplifies long wavelength modes of the pion for more than $10 fm/c$. The shifting from the quench mechanism to…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Maedan

We study the properties of heavy mesons using a unitarized approach in a hot pionic medium, based on an effective hadronic theory. The interaction between the heavy mesons and pseudoscalar Goldstone bosons is described by a chiral…

High Energy Physics - Phenomenology · Physics 2019-10-04 Gloria Montaña , Angels Ramos , Laura Tolos

A general expression is discussed for pion probability distributions coming from relativistic heavy ion collisions. The general expression contains as limits: 1) The disoriented chiral condensate (DCC), 2) the negative binomial distribution…

Nuclear Theory · Physics 2009-10-31 A. Z. Mekjian

A fast restoration of chiral symmetry in excited mesons is demonstrated. A minimal "realistic" chirally symmetric confining model is used, where the only interaction between quarks is the linear instantaneous Lorentz-vector confining…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. F. Wagenbrunn , L. Ya. Glozman

The light-quark correlator in the axial-vector channel is used, in conjunction with finite energy QCD sum rules at finite temperature, in order to (a) establish a relation between chiral-symmetry restoration and deconfinement, and (b)…

High Energy Physics - Phenomenology · Physics 2013-05-30 C. A. Dominguez , M. Loewe , Y. Zhang

As the matter produced in a relativistic heavy ion collision cools through the QCD phase transition, the dynamical evolution of the chiral condensate will be driven out of thermal equilibrium. As a prelude to analyzing this evolution, and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Luis M. A. Bettencourt , Krishna Rajagopal , James V. Steele

We derive a quantum state of the disoriented chiral condensate dynamically, considering small quantum fluctuations around a classical chiral condensate disoriented in a certain direction $ \vec n $ in isospace. The obtained nonisosinglet…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Maedan

Recent developments for chiral and $U(1)_A$ restorations in excited hadrons are reviewed. We emphasize predictions of the chiral symmetry restoration scenario for axial charges and couplings to Goldstone bosons. Using very general chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Ya. Glozman