Mean field theory for boundary Ising and tricritical Ising models

Using the technique of mean field theory applied to the lattice boundary Ising and tricritical Ising models we provide a qualitative description of their boundary phase diagrams. We will show this is in agreement with the known picture from boundary conformal field theory and we shall compare our work with that of Cappelli et al and show how their analysis is not in accordance with the physical picture.