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SU(3) Polyakov linear-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>σ</mi></math></span> model in an external magnetic field

2014/06/29 by Abdel Nasser Tawfik, Niseem Magdy, N. Magdy · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Landau quantization #Magnetic field #Mathematical physics #Particle physics #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quark–gluon plasma #Statistics #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.90.015204

published as Phys. Rev. C 90, 015204 (2014) · 32 pages, 12 figures with 20 eps graphs

arxiv created 2014/06/29 · openalex publication_date 2014/07/17 · arxiv updated 2014/07/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the present work, we analyze the effects of an external magnetic field on the chiral critical temperature Tc of strongly interacting matter. In doing this, we can characterize the magnetic properties of the quantum chromodynamics (QCD) strongly 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 PLSM is either renormalized or non-normalized. The effects of Landau quantization on the strongly interacting matter are conjectured 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 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 Tc increases with increasing magnetic field. In the other one, Tc significantly decreases with increasing magnetic field.

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