Abstract
We investigate the screening masses of neutral pions and sigma mesons in hot and magnetized quark matter in the framework of a two-flavor lattice-improved Nambu--Jona-Lasinio (NJL) model with a magnetic-field-dependent coupling constant, which is determined by utilizing the results from lattice QCD simulations. Since such a model can well reproduce inverse magnetic catalysis (IMC), by comparing with the standard NJL model, we systemically analyze the impacts of IMC on the temperature and magnetic field dependences of the longitudinal and transverse screening masses of the chiral partners, i.e., ${\ensuremath{\pi}}^{0}$ and $\ensuremath{\sigma}$ mesons, as well as the screening mass differences between them. Particularly, it is found that the $eB$ dependences of two alternative (pseudo)critical temperatures for the chiral transition defined by $\ensuremath{\sigma}\ensuremath{-}{\ensuremath{\pi}}^{0}$ meson screening mass differences are consistent with that defined by the quark condensate.
Highlights
The properties of strong interactions, which are described by the theory of quantum chromodynamics (QCD), in the presence of external magnetic fields have been extensively investigated in the past years
In our recent work [75], we systematically presented the calculations of the screening masses for neutral pions under magnetic fields in the NJL model within full random phase approximation (RPA) and solved the limitations of the previous studies
The eB dependence of GðeBÞ is determined by utilizing the magnetic-field-dependent constituent quark masses inferred from the magnetized baryon mass spectrum which is evaluated in lattice QCD (LQCD)
Summary
The properties of strong interactions, which are described by the theory of quantum chromodynamics (QCD), in the presence of external magnetic fields have been extensively investigated in the past years (see, e.g., Refs. [1,2,3] for recent reviews). For the chiral partners such as neutral pions and sigma mesons, their mass difference can be considered as an order parameter to describe the behavior of the chiral crossover For this reason, the pole masses of light mesons in the presence of magnetic fields have been widely evaluated in the framework of chiral perturbation theory [59], the linear sigma model [60,61,62], NJL model [63,64,65,66,67,68,69,70,71,72,73,74,75,76,77], relativistic or nonrelativistic constituent quark model [78,79,80], and lattice QCD (LQCD) simulations [81,82,83,84,85,86,87,88,89].
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