Quark-hadron phase transition through bubble nucleation at finite magnetic field in quark-meson model

We explore the behavior of the first-order transition of quark-hadron matter facilitated through homogeneous bubble nucleation using the quark-meson model at a finite magnetic field (B). With one loop effective potential, we obtain different physical quantities such as surface tension, critical radius of the bubbles, and free energy of the system in thin-wall approximation. The effective potential gets intense with increasing magnetic field, enhancing the symmetry breaking. The surface tension evolution verses temperature (T) and chemical potential (\(\mu \)) for different magnetic fields is analyzed and presented. The evolution of surface tension raises quickly for a finite magnetic field. Similarly, the effect of finite magnetic fields on the critical radius and free energy is presented. We observe, as expected, a divergent behavior of critical radius and free energy as temperature and chemical potential approaches critical values.