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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

We use the two-flavor Linear Sigma Model with quarks as an effective description of QCD to investigate the nature of the chiral phase transition at finite baryon chemical potential and zero temperature. We work at one-loop order to set up…

High Energy Physics - Phenomenology · Physics 2026-04-23 Alejandro Ayala , Bruno El-Bennich , Ricardo L. S. Farias , Luis A. Hernández , Bruno S. Lopes , Luis C. Parra L. , Renato Zamora

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

The chiral phase transition at a certain critical temperature is a restoration mechanism of the chiral symmetry, broken by the nonzero mass of quarks and mesons. The transition can be studied through several models, among which are the…

High Energy Physics - Phenomenology · Physics 2008-02-20 F. A. Correa , J. Morales

We study the chiral phase transition in the linear sigma model with 2 quark flavors and $N_c$ colors. One-loop calculations predict a first-order phase transition at both $\mu=0$ and $\mu\neq 0$. We also discuss the phase diagram and make a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Neven Bilic , Hrvoje Nikolic

We study the dynamics of the chiral phase transition in a linear quark-meson $\sigma$ model using a novel approach based on semiclassical wave-particle duality. The quarks are treated as test particles in a Monte-Carlo simulation of elastic…

Nuclear Theory · Physics 2018-02-20 C. Wesp , H. van Hees , A. Meistrenko , C. Greiner

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model…

High Energy Physics - Phenomenology · Physics 2019-04-17 Simon Resch , Fabian Rennecke , Bernd-Jochen Schaefer

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

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

Phase diagram of a chiral random matrix model with the degenerate ud quarks and the s quark at finite temperature and density is presented. The model exhibits a first-order transition at finite temperature for three massless flavors, owing…

High Energy Physics - Phenomenology · Physics 2010-04-06 H. Fujii , T. Sano

The chiral phase transition and equation of state are studied within a new self-consistent mean-field approximation of the two-flavor Nambu$-$Jona-Lasinio model. In this newly developed model, modifications to the chemical potential $\mu$…

Nuclear Theory · Physics 2021-05-28 Qing-Wu Wang , Chao shi , Hong-Shi Zong

In the framework of two-flavor extended linear sigma model with mixing between scalar quarkonium and tetraquark, we investigate the role of the tetraquark in the chiral phase transition. We explore various scenarios depending on the value…

High Energy Physics - Phenomenology · Physics 2015-06-17 Tamal K. Mukherjee , Mei Huang

We study the chiral phase transition by the non-equilibrium propagation of the sigma field. A quark fluid acts as a heat bath in local thermal equilibrium and evolves fluid dynamically. We allow for dissipative processes and fluctuations…

Nuclear Theory · Physics 2011-07-29 Marlene Nahrgang , Marcus Bleicher

We study cumulants of the chiral order parameter as function of beam energy as a possible signal for the presence of a critical end point and first-order phase transition in the QCD phase diagram. We model the expansion of a heavy-ion…

High Energy Physics - Phenomenology · Physics 2022-04-21 Christoph Herold , Ayut Limphirat , Poramin Saikham , Marlene Nahrgang

We consider the quark-meson model with two quark flavors in a constant external magnetic field $B$ at finite temperature $T$ and finite baryon chemical potential $\mu_B$. We calculate the full renormalized effective potential to one-loop…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jens O. Andersen , Rashid Khan

The SU(3)_{r} \times SU(3)_{\ell} linear sigma model is used to study the chiral symmetry restoring phase transition of QCD at nonzero temperature. The line of second order phase transitions separating the first order and smooth crossover…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. T. Lenaghan

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

The scaling behavior of the order parameter at the chiral phase transition, the so-called magnetic equation of state, of strongly interacting matter is studied within effective models. We explore universal and nonuniversal structures near…

High Energy Physics - Phenomenology · Physics 2017-02-01 Gabor Andras Almasi , Wojciech Tarnowski , Bengt Friman , Krzysztof Redlich

As an extension of $QCD$, consider a theory with ``$2+1$'' flavors, where the current quark masses are held in a fixed ratio as the overall scale of the quark masses is varied. At nonzero temperature and baryon density it is expected that…

High Energy Physics - Phenomenology · Physics 2009-12-30 S. Gavin , A. Gocksch , R. D. Pisarski

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
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