Abstract
Motivated by discrepancies observed between lattice QCD simulations and quark models regarding the behavior of the pseudo critical temperature for chiral symmetry restoration as a function of the magnetic field B, we investigate the effects of a running the quark coupling constant G with temperature T and the magnetic field B in the context of the Nambu-Jona- Lasinio model(NJL). Our point that when asymptotic freedom, an essential feature of QCD and absent in the model, is included through a running of G with T and B results from the NJL model can be brought in qualitative agreement with lattice QCD simulations.
Highlights
Much effort has been devoted to the understanding of the effects produced by a magnetic field in the phase diagram of Quantum Chromodynamics (QCD)
Motivated by discrepancies observed between lattice QCD simulations and quark models regarding the behavior of the pseudo critical temperature for chiral symmetry restoration as a function of the magnetic field B, we investigate the effects of a running the quark coupling constant G with temperature T and the magnetic field B in the context of the Nambu–JonaLasinio model(NJL)
At zero temperature the lattice results confirm the existence of the phenomenon of magnetic catalysis (MC) [14, 15, 16], where the chiral order parameter is enhanced with the increase of the magnetic field
Summary
Much effort has been devoted to the understanding of the effects produced by a magnetic field in the phase diagram of Quantum Chromodynamics (QCD). Lattice QCD simulations [8, 9] predict that at zero baryon density and zero magnetic field there is a crossover transition at a pseudo critical temperature Tpc. More recent lattice simulations show that this crossover persists if we include the effects of external strong magnetic fields [10, 11, 12, 13]. [12, 13], that consider physical values of quark masses, predict an inverse magnetic catalysis (IMC), in that the pseudo critical temperature Tpc for the crossover decrease with B, in total disagreement with all effective model calculations in the literature [17, 18, 19, 22, 23, 24] Recent lattice results of Refs. [12, 13], that consider physical values of quark masses, predict an inverse magnetic catalysis (IMC), in that the pseudo critical temperature Tpc for the crossover decrease with B, in total disagreement with all effective model calculations in the literature [17, 18, 19, 22, 23, 24]
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