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In the present work, higher-order mesonic interactions are included in the linear sigma model at a finite temperature. The effective potential is minimized in the calculations of the sigma and pion effective masses. The field equations have…

High Energy Physics - Phenomenology · Physics 2013-11-11 M. Abu-Shady , H. Mansour

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

In the first part we study the possibility that a Disoriented Chiral Condensate (DCC) forms when hot hadronic matter is quenched, using the linear sigma model. We formulate an original sampling strategy for the initial field configuration…

High Energy Physics - Phenomenology · Physics 2007-05-23 Julien Serreau

We derive travelling soliton solutions of the $\sigma$ model, relevant for the description of dynamics of pions, in the high-energy, heavy-ion collisions. These extended objects are analogs of Ne$\grave{e}$l and Bloch type defects in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Prasanta. K. Panigrahi , C. Nagaraja

We study the dynamical formation of disoriented chiral condensates in very high energy nucleus-nucleus collisions using Bjorken hydrodynamics and relativistic nucleation theory. It is the dynamics of the first order confinement phase…

Nuclear Theory · Physics 2007-05-23 Joseph I. Kapusta , Axel P. Vischer

We study the creation of disoriented chiral condensates with some initial boundary conditions that may be expected in the relativistic heavy ion collisions. The equations of motion in the linear $\sigma$-model are solved numerically with…

Nuclear Theory · Physics 2009-12-30 Zheng Huang , Xin-Nian Wang

Numerical simulations of the chiral phase transition in the (3+1)dimensional O(4)-model are presented. The evolutions of the chiral field follow purely dissipative dynamics, starting from random chirally symmetric initial configurations…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Holzwarth , J. Klomfass

We investigate the properties of different modifications to the linear $\sigma$-model (including a dilaton field associated with broken scale invariance) at finite baryon density $\rho$ and nonzero temperature $T$. The explicit breaking of…

Nuclear Theory · Physics 2008-11-26 P. Papazoglou , J. Schaffner , S. Schramm , D. Zschiesche , H. Stöcker , W. Greiner

We explore the phase structure of a chiral model of constituent quarks and gluons implementing scale symmetry breaking at finite temperature and chemical potential. In this model the chiral dynamics is intimately linked to the trace anomaly…

High Energy Physics - Phenomenology · Physics 2015-05-30 Chihiro Sasaki , Igor Mishustin

We generalize our previous model to an O(N) symmetric two-dimensional model which possesses chiral symmetry breaking and superconducting (Cooper pair condensates) phases at large-N. At zero temperature and density, the model can be solved…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alan Chodos , Fred Cooper , Wenjin Mao , Hisakazu Minakata , Anupam Singh

Utilizing QCD sum rules, we extract the temperature dependences of the spectral properties of the pseudo-scalar and scalar D mesons regarded as chiral partners. Besides the masses also decay constants are analyzed as the D meson yields in…

Nuclear Theory · Physics 2018-07-10 Thomas Buchheim , Thomas Hilger , Burkhard Kampfer , Stefan Leupold

It is unlikely to reach at high temperatures the state which is used as the starting point of DCC formation in the quenched approximation. The chiral symmetry is restored in the linear sigma model by Goldstone modes (pions), because such…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Biro

We investigate the scalar meson mass dependence on the chiral phase transition in the framework of an SU(3), (axial)vector meson extended linear sigma model with additional constituent quarks and Polyakov loops. We determine the parameters…

High Energy Physics - Phenomenology · Physics 2014-11-21 Gy. Wolf , P. Kovács , Zs. Szép

We investigate in detail the chiral thermal transition of QCD in an improved soft-wall AdS/QCD model with a simply modified 5D conformal mass of the bulk scalar field. We also present a calculation in this model for the light meson spectra…

High Energy Physics - Phenomenology · Physics 2016-09-14 Zhen Fang , Yue-Liang Wu , Lin Zhang

We present a novel method for studying the formation of a disoriented chiral condensate (DCC) in high-energy hadronic and heavy-ion collisions utilizing a discrete wavelet transformation. Due to its salient feature of space-scale locality,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Zheng Huang , Ina Sarcevic , Robert Thews , Xin-Nian Wang

I sketch how long wavelength modes of the pion field can be amplified during the QCD phase transition. If nature had been kinder, and had made the pion mass significantly less than the critical temperature for the transition, then this…

High Energy Physics - Phenomenology · Physics 2007-05-23 Krishna Rajagopal

We have recently derived a gapless theory of the linear response of a Bose-condensed gas to external perturbations at finite temperature and used it to explain quantitatively the measurements of condensate excitations and decay rates made…

Other Condensed Matter · Physics 2015-06-25 S. A. Morgan

The partition function and the order parameter for the chiral symmetry breaking are computed for a family of 2-dimensional interacting theories containing the gauged Thirring model. In particular we derive non-perturbative expressions for…

High Energy Physics - Theory · Physics 2009-10-22 I. Sachs , A. Wipf

The temperature behaviour of meson condensates $<\sigma_0>$ and $<\sigma_8>$ is calculated in the $SU(3)\times SU(3)$-linear sigma model. The couplings of the Lagrangian are fitted to the physical $\pi,K,\eta,\eta'$ masses, the pion decay…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. Metzger , H. Meyer--Ortmanns , H. --J. Pirner

We examine the non-equilibrium time evolution of the hadronic plasma produced in a relativistic heavy ion collision, assuming a spherical expansion into the vacuum. We study the $O(4)$ linear sigma model to leading order in a large-$N$…

High Energy Physics - Theory · Physics 2014-11-18 Melissa A. Lampert , John F. Dawson , Fred Cooper