Abstract
We study the thermodynamics of QCD system under external magnetic field via the 2+1 flavor Polyakov-loop quark-meson model. To incorporate quantum and thermal fluctuations, the functional renormalization group approach is implemented in our work. Pressure, entropy density, magnetic susceptibility and other thermodynamic quantities are calculated and analyzed to investigate the effect of magnetic field on the QCD system. The calculated results are in reasonable agreement with lattice QCD simulations and perturbation theory. We then give an intuitive picture for the response of QCD system to the magnetic field.
Highlights
Research on the phase transitions of strong interaction matter (QCD phase transitions) has attracted great attentions in recent years since it may shed light on revealing the process and the nature of the early universe evolution
The equation of state (EoS) and the entropy density of the strong interaction matter in an external magnetic field have been studied with the lattice QCD simulations [27,28,29], hadron resonance gas (HRG) model [30], quark-meson (QM) model [67,68,88], and Polyakov-loop improved quarkmeson (PQM) model [10,11,12,13,59,89,90,91,92,93]
We investigated the thermodynamical properties of the strong interaction matter in an external magnetic field by applying the functional renormalization group (FRG) approach to a (2 þ 1) flavor PQM model
Summary
Research on the phase transitions of strong interaction matter (QCD phase transitions) has attracted great attentions in recent years (for example, see Refs. [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36]) since it may shed light on revealing the process and the nature of the early universe evolution. The EoS and the entropy density of the strong interaction matter in an external magnetic field have been studied with the lattice QCD simulations [27,28,29], hadron resonance gas (HRG) model [30], quark-meson (QM) model [67,68,88], and Polyakov-loop improved quarkmeson (PQM) model [10,11,12,13,59,89,90,91,92,93]. We take the (2 þ 1) flavor Polyakov-loop quark-meson model [10,11,12,13,59,89,90,91,92,93] to approximate the QCD system.
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