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We investigate the nonequilibrium evolution of the sigma field coupled to a fluid dynamic expansion of a hot fireball to model the chiral phase transition in heavy-ion collisions. The dissipative processes and fluctuations are allowed under…

Nuclear Theory · Physics 2011-10-24 Marlene Nahrgang , Christoph Herold , Stefan Leupold , Igor Mishustin , Marcus Bleicher

We study nonequilibrium effects at the QCD phase transition within the framework of Polyakov loop extended chiral fluid dynamics. The quark degrees of freedom act as a locally equilibrated heat bath for the sigma field and a dynamical…

Nuclear Theory · Physics 2013-01-08 Christoph Herold , Marcus Bleicher , Marlene Nahrgang

We present a fully dynamical model to study the chiral and deconfinement transition of QCD simultaneously. The quark degrees of freedom constitute a heat bath in local equilibrium for both order parameters, the sigma field and a dynamical…

Nuclear Theory · Physics 2014-05-28 Marcus Bleicher , Christoph Herold

We present a dynamic model based on the linear sigma model with constituent quarks that allows for studying the explicit propagation of fluctuations at a chiral critical point and a first-order phase transition. The coupled dynamics of the…

Nuclear Theory · Physics 2012-03-23 Marlene Nahrgang , Stefan Leupold , Marcus Bleicher

We present a fully dynamical model to study nonequilibrium effects in both the chiral and the deconfinement phase transition. The sigma field and the Polyakov loop as the corresponding order parameters are propagated by Langevin equations…

Nuclear Theory · Physics 2014-05-28 Christoph Herold , Marlene Nahrgang , Igor Mishustin , Marcus Bleicher

We investigate the relaxational dynamics of the order parameter of chiral symmetry breaking, the sigma mean-field, with a heat bath consisting of quarks and antiquarks. A semiclassical stochastic Langevin equation of motion is obtained from…

Nuclear Theory · Physics 2015-05-28 Marlene Nahrgang , Stefan Leupold , Marcus Bleicher

The thermodynamics of a first-order chiral phase transition is considered in the presence of spinodal phase separation using the Nambu-Jona-Lasinio model in the mean field approximation. We focus on the behavior of conserved charge…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

Based on the 2PI quantum effective action of the linear sigma model with constituent quarks, we develop a transport approach to study systems out of equilibrium. In particular, we focus on the chiral phase transition as well as the critical…

High Energy Physics - Phenomenology · Physics 2015-06-18 Alex Meistrenko , Christian Wesp , Hendrik van Hees , Carsten Greiner

We investigate the evolution of the net-proton kurtosis and the kurtosis of the chiral order parameter near the critical point in the model of nonequilibrium chiral fluid dynamics. The order parameter is propagated explicitly and coupled to…

High Energy Physics - Phenomenology · Physics 2016-03-23 Christoph Herold , Marlene Nahrgang , Yupeng Yan , Chinorat Kobdaj

We study the thermodynamics of the linear sigma model with constituent quarks beyond the mean-field approximation. By integrating out the quark degrees of freedom we derive an effective action for the meson fields which is then linearized…

Nuclear Theory · Physics 2009-11-10 A. Mocsy , I. N. Mishustin , P. J. Ellis

We investigate the dynamics of the chiral transition in an expanding quark-anti-quark plasma. The calculations are made within a linear sigma model with explicit quark and antiquark degrees of freedom. We solve numerically the classical…

High Energy Physics - Phenomenology · Physics 2011-04-15 I. N. Mishustin , J. A. Pedersen , O. Scavenius

In this brief review we introduce the methods of quantum field theory out of equilibrium and study the non-equilibrium aspects of phase transitions. Specifically we critically study the picture of the ``slow-roll'' phase transition in the…

High Energy Physics - Theory · Physics 2009-09-25 D. Boyanovsky , H. J. de Vega , R. Holman

Starting from the linear sigma model with constituent quarks we derive the chiral fluid dynamics where hydrodynamic equations for the quark fluid are coupled to the equation of motion for the order-parameter field. In a static system at…

Nuclear Theory · Physics 2015-06-18 Igor N. Mishustin , Tomoi Koide , Gabriel S. Denicol , Giorgio Torrieri

Edges of some quantum Hall liquids and a number of other systems exhibit chiral transport: excitations can propagate in one direction only, e.g., clockwise. We derive a family of fluctuation-dissipation relations in non-equilibrium steady…

Statistical Mechanics · Physics 2013-01-22 Chenjie Wang , D. E. Feldman

Within the context of the linear $\s$-model for two flavours, we investigate non-equilibrium phenomena that may occur during the QCD chiral phase transition in heavy-ion collisions. We assume that the chiral symmetry breaking is followed by…

High Energy Physics - Phenomenology · Physics 2017-08-23 E. N. Saridakis , N. G. Antoniou , F. K. Diakonos , N. Tetradis

Using the two-particle irreducible (2PI) $\Phi$-functional formalism for self-consistent approximations of a linear-$\sigma$ model for quarks and mesons in and out of equilibrium, the build-up of fluctuations of net-baryon number during the…

Nuclear Theory · Physics 2022-12-22 H. van Hees , A. Meistrenko , C. Greiner

We present a consistent theoretical approach for the study of nonequilibrium effects in chiral fluid dynamics within the framework of the linear sigma model with constituent quarks. Treating the quarks as an equilibrated heat bath we use…

Nuclear Theory · Physics 2011-09-02 Marlene Nahrgang , Stefan Leupold , Christoph Herold , Marcus Bleicher

The first order chiral phase transition for quark matter with flavor imbalance is studied using the Linear sigma model with quarks, also known as Quark-meson model. Special attention is paid to the role of the scalar isovector meson. The…

High Energy Physics - Phenomenology · Physics 2026-03-17 R. M. Aguirre

Based on an effective QCD Lagrangian we discuss the properties of charge density fluctuations in the vicinity of chiral phase transition. We explore thermodynamics in the presence of spinodal phase separation. We show that appearance of…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Redlich , B. Friman , C. Sasaki

It is believed at present that the chiral transition changes from a smooth crossover to a first-order transition at low temperatures and high densities. Such regime is commonly analyzed using effective models since first principle…

Nuclear Theory · Physics 2025-11-20 R. M. Aguirre
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