Survival of charged rho condensation at high temperature and density

Understand

The charged vector $\rho$ mesons in the presence of external magnetic fields at finite temperature $T$ and chemical potential $\mu$ have been investigated in the framework of the Nambu--Jona-Lasinio model.

• We compute the masses of charged $\rho$ mesons numerically as a function of the magnetic field for different values of temperature and chemical potential.
• The self-energy of the $\rho$ meson contains the quark-loop contribution, i.e.
• the leading order contribution in $1/N_c$ expansion.