Operator-Algebraic Renormalization and Wavelets

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  • Sapienza Università di Roma
  • Università degli studi di Roma Tor Vergata
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OriginalspracheEnglisch
Aufsatznummer230601
FachzeitschriftPhysical review letters
Jahrgang127
Ausgabenummer23
PublikationsstatusVeröffentlicht - 1 Dez. 2021

Abstract

We report on a rigorous operator-algebraic renormalization group scheme and construct the free field with a continuous action of translations 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 multiscale entanglement renormalization ansatz and augments the semicontinuum limit of quantum systems.

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Operator-Algebraic Renormalization and Wavelets. / Stottmeister, Alexander; Morinelli, Vincenzo; Morsella, Gerardo et al.
in: Physical review letters, Jahrgang 127, Nr. 23, 230601, 01.12.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Stottmeister A, Morinelli V, Morsella G, Tanimoto Y. Operator-Algebraic Renormalization and Wavelets. Physical review letters. 2021 Dez 1;127(23):230601. doi: 10.48550/arXiv.2002.01442, 10.1103/PhysRevLett.127.230601
Stottmeister, Alexander ; Morinelli, Vincenzo ; Morsella, Gerardo et al. / Operator-Algebraic Renormalization and Wavelets. in: Physical review letters. 2021 ; Jahrgang 127, Nr. 23.
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