Hamiltonian Renormalization V: Free Vector Bosons

In a recent proposal we applied methods from constructive QFT to derive Hamiltonian Renormalisation Group in order employ it ultimately for canonical quantum gravity. The was successfully tested free scalar fields and thus natural next step is test gauge theories. This can be done the framework of reduced phase space quantisation which allows using techniques developed earlier field addition, gravity one works representations that support holonomy operators are ill defined Fock representation say Maxwell or Proca theory. Thus, consider toy models have both features, i.e. well-defined. We adapt coarse graining maps considered those theories vector bosons. It turns out corresponding fixed pointed found analytically.