Operator-algebraic renormalization and wavelets
arXiv:2002.01442 · doi:10.1103/PhysRevLett.127.230601
Abstract
We report on a rigorous operator-algebraic renormalization group scheme and construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets. Causality follows from Lieb-Robinson bounds for harmonic lattice systems. The scheme is related with the multi-scale entanglement renormalization ansatz and augments the semi-continuum limit of quantum systems.
arXiv comment6 pages, 3 figure (accepted version)
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