[Submitted on 12 Mar 2016] (cross-list from hep-ph)
Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
R. L. S. Farias🇧🇷 · V. S. Timoteo🇧🇷 · S. S. Avancini🇧🇷 · M. B. Pinto🇧🇷 · G. Krein🇧🇷
The phenomenon of inverse magnetic catalysis of chiral symmetry in QCD predicted by lattice simulations can be reproduced within the Nambu--Jona-Lasinio model if the coupling~ of the model decreases with the strength of the magnetic field and temperature~. The thermo-magnetic dependence of is obtained by fitting recent lattice QCD predictions for the chiral transition order parameter. Different thermodynamic quantities of magnetized quark matter evaluated with are compared with the ones obtained at constant coupling, . The model with predicts a more dramatic chiral transition as the field intensity increases. In addition, the pressure and magnetization always increase with for a given temperature. Being parametrized by four magnetic field dependent coefficients and having a rather simple exponential thermal dependence our accurate ansatz for the coupling constant can be easily implemented to improve typical model applications to magnetized quark matter.
- Comments:
- 13 pages, 9 figures, v3 EPJA version
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 1603.03847 [pdf]