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The chiral phase transition is investigated within the framework of the linear sigma model at finite temperature. We concentrate on the meson sector of the model and calculate the finite temperature effective potential in the Hartree…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicholas Petropoulos

We study the chiral phase transition at finite temperature in the linear sigma model by employing a self-consistent Hartree approximation. This approximation is introduced by imposing self-consistency conditions on the effective meson mass…

Nuclear Theory · Physics 2009-10-30 Heui-Seol Roh , T. Matsui

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

The logarithmic sigma model describes the interactions between quarks via sigma and pion exchanges. The effective mesonic potential is extended to the finite temperature and it is numerically calculated using n-midpoint rule. Meson…

General Physics · Physics 2013-08-27 M. Abu-shady

We study chiral symmetry restoration by analyzing thermal properties of QCD's (pseudo-)Goldstone bosons, especially the pion. The meson properties are obtained from the spectral densities of mesonic imaginary-time correlation functions. To…

High Energy Physics - Phenomenology · Physics 2023-02-15 Yin-Zhen Xu , Si-Xue Qin , Hong-Shi Zong

First, the chiral phase transition at nonzero temperature and baryon chemical potential is studied at mean field level in the sigma model that includes quark degrees of freedom explicitly. For small bare quark masses the critical point…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Mocsy

We investigate the impact of a uniform spin density on the critical temperature of the chiral phase transition in finite-temperature QCD in the scope of the linear sigma model. We demonstrate that at a finite spin potential $\mu_\Sigma$,…

The chiral phase transition of the strongly interacting matter is investigated at nonzero temperature and baryon chemical potential mu_B within an extended (2+1) flavor Polyakov constituent quark-meson model which incorporates the effect of…

High Energy Physics - Phenomenology · Physics 2016-09-09 Peter Kovács , Zsolt Szép , György Wolf

We analyse the QCD chiral phase transition in the nonlinear and linear $\sigma$-model. The strategy is the same in both cases. We fix the parameters of the effective meson theory at temperature $T=0$ and extrapolate the models to…

High Energy Physics - Phenomenology · Physics 2009-09-25 H. J. Pirner , B. -J. Schaefer

We consider the form of the chiral symmetry breaking piece of the effective potential in the linear sigma model. Surprisingly, it allows for a second local minimum at both zero and finite temperature. Even though chiral symmetry is not…

High Energy Physics - Phenomenology · Physics 2009-10-28 Joseph I. Kapusta , Ajit M. Srivastava

We develop a quantum kinetic theory of the chiral condensate and meson quasi-particle excitations using the O(N) linear sigma model which describe the chiral phase transition both in and out of equilibrium in a unified way. A mean field…

Nuclear Theory · Physics 2008-12-11 M. Matsuo , T. Matsui

The composite operator formalism is applied to QCD at finite temperature to calculate the masses of scalar and pseudoscalar mesons. In particular the ratio of the sigma mass to the pion mass is an interesting measure of the degree of chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini

The chiral phase transition is investigated within the framework of thermal field theory using the O(N) linear sigma model as an effective theory. We calculate the thermal effective potential by using the Cornwall-Jackiw-Tomboulis formalism…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nicholas Petropoulos

We study the effect of the chiral phase transition on pion production in hot hadronic matter. The phase of restored chiral symmetry is characterized by the appearance of the scalar $\sigma$-meson as a chiral partner of the pion as well as…

Nuclear Theory · Physics 2009-10-30 Chungsik Song , Volker Koch

By applying the closed-time-path Green function formalism to the chiral dynamical model based on an effective Lagrangian of chiral quarks with the nonlinear-realized meson fields as bosonized auxiliary fields, we then arrive at a chiral…

High Energy Physics - Phenomenology · Physics 2012-03-02 Da Huang , Yue-Liang Wu

We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and…

Nuclear Theory · Physics 2009-10-30 G. W. Carter , P. J. Ellis , S. Rudaz

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

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

Working in the linear sigma model with quarks, we compute the finite-temperature effective potential in the presence of a weak magnetic field, including the contribution of the pion ring diagrams and considering the sigma as a classical…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alejandro Ayala , Adnan Bashir , Alfredo Raya , Angel Sánchez

Hadron properties are studied at hot medium using the quark sigma model. The quark sigma model is extended to include eighth-order of mesonic interactions based on some aspects of quantum chromodynamic (QCD) theory. The extended effective…

High Energy Physics - Phenomenology · Physics 2015-01-05 M. Abu-Shady , A. K. Abu-Nab
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