The basic idea of the Renormalization Group and its formalism are discussed. By making comparision among a various forms of the Renormalization Group we analyze the relation of the RG (Renormalization Group) and we discuss what the RG definition and its differential equation in q-space (Fourier component q. momentum) will become in real-space (or, coordinate space).
We also derive the RG equation in real-space from Wegner's RG equation in q-space and apply this to our model (i.e. Hamiltonian with isotropic interaction coupling) and obtain the solution.