Properties of neutral mesons in a hot and magnetized quark matter

Abstract

The properties of noninteracting σ and π 0 mesons are studied at finite temperature, chemical potential and in the presence of a constant magnetic field. To do this, the energy dispersion relations of these particles, including nontrivial form factors, are derived using a derivative expansion of the effective action of a two-flavor, hot and magnetized Nambu-Jona-Lasinio (NJL) model up to second order. The temperature dependence of the pole and screening masses as well as the directional refraction indices of magnetized neutral mesons are explored for fixed magnetic fields and chemical potentials. It is shown that, because of the explicit breaking of the Lorentz invariance by the magnetic field, the refraction index and the screening mass of neutral mesons exhibit a certain anisotropy in the transverse and longitudinal directions with respect to the direction of the external magnetic field. In contrast to their longitudinal refraction indices, the transverse indices of the neutral mesons are larger than unity.

Meson properties in magnetized quark matter

“…The field strength in these cases is expected to reach 10 19 Gauss, corresponding to jeBj ∼ 10m 2 π [1][2][3]. In such an external magnetic field, the phase structure of a quantum chromodynamics (QCD) system will be significantly changed.…”

Finite temperature QCD four-point function in the presence of a weak magnetic field within the hard thermal loop approximation

“…Several novel properties of hot and dense nuclear matter in the presence of the background magnetic field have been studied over the years, namely, the chiral magnetic effect [4,10,11]; chiral-and color-symmetry broken/restoration phase [12][13][14][15]; magnetic catalysis [16][17][18] and inverse magnetic catalysis [18][19][20][21][22]; bulk properties of Fermi gas [23]; phase structure of QCD [17,[24][25][26][27]; various properties of mesons such as the decay constant, thermal mass, and dispersion relations [28][29][30][31][32]; soft photon production from conformal anomaly in heavy-ion collisions [33,34]; modification of QED dispersion properties [35]; electromagnetic radiation [36]; dilepton production [37][38][39][40][41][42]; transport properties [43,44]; and properties of quarkonia [45][46][47][48].…”

Superconducting properties of vacuum in strong magnetic field

“…[29][30][31][32][33] The latter opens a possibility for experimental checks of the effects of a very strong magnetic field in the astrophysical setup because the strong magnetic background should affect certain macroscopic properties of the strongly magnetized neutron stars such as mass, adiabatic index, moment of inertia, and cooling curves.…”