Continuous entanglement renormalization on the circle

The continuous multiscale entanglement renormalization ansatz (cMERA) is a variational class of states for quantum fields. As originally formulated, the cMERA applies to infinite systems only. In this paper we generalize formalism finite circle, which achieve by wrapping action so-called entangler around circle. This allows us transform on line into addition, in case Gaussian noninteracting fields, method images prove following result: If state good approximation ground local field theory (QFT) Hamiltonian, then (under mild assumptions their correlation functions) resulting circle also same QFT Hamiltonian