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We first briefly review a treatment of the scalars in meson meson scattering based on a non-linear chiral Lagrangian, with unitarity implemented by a "local" modification of the scalar propagators. It is shown that the main results are…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Black , A. H. Fariborz , S. Moussa , S. Nasri , J. Schechter

We investigate the chiral phase transition in the quark-meson effective model using optimised perturbation theory to one loop. Certain terms in the free energy are frequently omitted in calculations, on the assumption that their…

High Energy Physics - Phenomenology · Physics 2011-07-13 Rashid Khan , Lars T. Kyllingstad

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

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

The Chiral Confining Lagrangian, based on the chiral theory with quark degrees of freedom, is used to study the spectroscopy of scalar mesons. The formalism does not contain arbitrary fitting parameters and takes into account infinite…

High Energy Physics - Phenomenology · Physics 2020-06-24 M. S. Lukashov , Yu. A. Simonov

Chiral symmetry restoration at nonzero temperature and quark densities are investigated in the framework of a linear sigma model with N_f=3 light quark flavors. After the derivation of the grand potential in mean-field approximation, the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Bernd-Jochen Schaefer , Mathias Wagner

We consider the thermodynamics of chiral models in the mean-field approximation and discuss the relevance of the (frequently omitted) fermion vacuum loop. Within the chiral quark-meson model and its Polyakov loop extended version, we show…

High Energy Physics - Phenomenology · Physics 2014-11-21 V. Skokov , B. Friman , E. Nakano , K. Redlich , B. -J. Schaefer

We develop a manifestly Lorentz covariant chiral quark model for the study of baryons as bound states of constituent quarks dressed by a cloud of pseudoscalar mesons. The approach is based on a non-linear chirally symmetric Lagrangian,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Amand Faessler , Th. Gutsche , V. E. Lyubovitskij , K. Pumsa-ard

In order to study the temperature dependence of the quark-hadron phase structure and the QCD equation of state in vanishing and finite magnetic field, the SU(3) Polyakov linear-sigma model is utilized. In mean field approximation, the…

High Energy Physics - Lattice · Physics 2017-02-06 Abdel Magied Abdel Aal Diab , Abdel Nasser Tawfik , M. T. Hussein

The quark-meson model is often used as an effective low-energy model for QCD to study the chiral transition at finite temperature $T$, baryon chemical potential $\mu_B$, and isospin chemical potential $\mu_I$. The parameters of the model…

High Energy Physics - Phenomenology · Physics 2018-04-18 Jens O. Andersen , Patrick Kneschke

The chiral symmetry of QCD is studied at finite temperature and chemical potential using the Schwinger-Dyson equation in the improved ladder approximation. We calculate three order parameters; the vacuum expectation value of the quark…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yusuke Taniguchi , Yuhsuke Yoshida

From the non-extensive statistical mechanics, we investigate the chiral phase transition at finite temperature $T$ and baryon chemical potential $\mu_B$ in the framework of the linear sigma model. The corresponding non-extensive…

Nuclear Theory · Physics 2017-12-01 Ke-Ming Shen , Hui Zhang , De-Fu Hou , Ben-Wei Zhang , En-Ke Wang

Lattice simulations for (2+1)-flavor QCD with external magnetic field demonstrated that the quark mass is one of the important parameters responsible for the (inverse) magnetic catalysis. We discuss the dependences of chiral condensates and…

High Energy Physics - Lattice · Physics 2018-04-18 Akio Tomiya , Heng-Tong Ding , Swagato Mukherjee , Christian Schmidt , Xiao-Dan Wang

Due to off-center relativistic motion of the charged spectators and the local momentum-imbalance of the participants, a short-lived huge magnetic field is likely generated, especially in relativistic heavy-ion collisions. In determining the…

High Energy Physics - Phenomenology · Physics 2016-08-04 Abdel Nasser Tawfik , Abdel Magied Diab , T. M. Hussein

Dual meson condensates as possible order parameters for deconfinement are investigated in a Polyakov-loop enhanced linear sigma model of QCD at both zero and finite isospin chemical potential $\mu_I$. We find that the rapid rise of the dual…

High Energy Physics - Phenomenology · Physics 2021-03-03 Zhao Zhang , Haipeng Lu

We consider scalegenesis, spontaneous scale symmetry breaking, by the scalar-bilinear condensation in $SU(N)$ scalar gauge theory. In an effective field theory approach to the scalar-bilinear condensation at finite temperature, we include…

High Energy Physics - Theory · Physics 2018-10-05 Jisuke Kubo , Masatoshi Yamada

In framework of linear $\sigma$-model (LSM) with three quark flavors, the chiral phase-diagram at finite temperature and density is investigated. At temperatures higher than the critical temperature ($ T_c $), we added to LSM the gluonic…

High Energy Physics - Phenomenology · Physics 2015-06-23 Abdel Nasser Tawfik , Niseem Magdy

We discuss the role of the U(1) axial symmetry for the phase structure of QCD at finite temperature. In particular, supported by recent lattice results, we analyse a scenario in which a U(1)-breaking condensate survives across the chiral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Enrico Meggiolaro

The transition in quantum chromodynamics (QCD) from hadronic matter to the quark-gluon plasma (QGP) at high temperatures and/or net-baryon densities is associated with the restoration of chiral symmetry and can be investigated in the…

High Energy Physics - Phenomenology · Physics 2015-12-02 Jürgen Eser , Mara Grahl , Dirk H. Rischke

The mass dependence of the chiral phase transition is studied in the linear $SU(3)\times SU(3)$ sigma-model to leading order in a $1/N_f$-expansion, $N_f$ denoting the number of flavours. For realistic meson masses we find a smooth…

High Energy Physics - Phenomenology · Physics 2010-11-01 Hildegard Meyer-Ortmanns , Bernd-Jochen Schaefer