One-loop HDL thermodynamics of a strongly magnetized isospin asymmetric cold quark matter

We have computed the longitudinal pressure and magnetization of strongly magnetized cold QCD matter in the presence of both quark and isospin chemical potentials using the hard-dense-loop perturbation theory (HDLpt). For that purpose, we have first obtained the resummed quark and gluon propagators in the presence of a strong magnetic field and isospin density. We have found that pressure gets monotonically enhanced with both chemical potentials. Magnetization is found to be positive, which indicates the paramagnetic nature of the cold quark matter. We also discuss the resulting pressure anisotropy, where the transverse pressure is suppressed relative to the longitudinal pressure in the strong-field regime.