SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field

Abstract

In the present work, we analyse the effects of an external magnetic field on the chiral critical temperature $T_c$ of strongly interacting matter. In doing this, we can characterize the magnetic properties of the quantum chromodynamics (QCD) strong interacting matter, the quark-gluon plasma (QGP). We investigate this in the framework of the SU(3) Polyakov linear sigma-model (PLSM). To this end, we implement two approaches representing two systems, in which the Polyakov-loop potential added to PLMS either renormalized or non-normalized. The effects of Landau quantization on the strongly interacting matter is conjectures to reduce the electromagnetic interactions between quarks. In this case, the color interactions will be dominant and increasing, which - in turn - can be achieved by increasing of the Polyakov-loop fields. Obviously, each of them equips us with a different understanding about the critical temperature under the effect of an external magnetic field. In both systems, we obtain a paramagnetic response. In one system, we find that $T_c$ increases with increasing the magnetic field. In the other one, $T_c$ significantly decreases with increasing the magnetic field.

32 pages, 12 figures with 20 eps graphs

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• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
• SU(3) Polyakov linear-sigma model: Magnetic properties of QCD matter in thermal and dense medium
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• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• New Insight about the Effective Restoration of U_A(1) Symmetry
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• Quark-hadron phase structure of QCD matter from SU($4$) Polyakov linear sigma model
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Critical point in the QCD phase diagram for extremely strong background magnetic fields
• Bulk viscosity in strong and electroweak matter
• Equation of State in Non-Zero Magnetic Field