Related papers: Operator-algebraic renormalization and wavelets

Operator-algebraic renormalization and wavelets

URL: http://arxiv.org/abs/2002.01442v2
Date: Tue, 26 Oct 2021 14:28:03 GMT
Title: Operator-algebraic renormalization and wavelets
Authors: Alexander Stottmeister and Vincenzo Morinelli and Gerardo Morsella and Yoh Tanimoto
Abstract summary: We 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.
Score: 62.997667081978825
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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