Abstract:
We study temperature and finite-size effects on the spontaneous symmetry breaking/restoration for a
scalar field model under the influence of an external magnetic field, at finite chemical potential.We use the
two-particle irreducible formalism and consider the large-N limit. We find that there is a minimal size of
the system to sustain the broken phase, which diminishes as the applied field increases but is independent
of the chemical potential. We analyze the critical curves and show that the magnetic field enhances the
broken-phase regions, while increasing the chemical potential leads to a diminishment of the critical
temperature.
