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arxiv: 1102.5524 · v2 · submitted 2011-02-27 · ✦ hep-th · cond-mat.stat-mech· cond-mat.str-el· quant-ph

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Entanglement renormalization for quantum fields

Jutho Haegeman , Tobias J. Osborne , Henri Verschelde , Frank Verstraete
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classification ✦ hep-th cond-mat.stat-mechcond-mat.str-elquant-ph
keywords renormalizationtheoriesconstructionentanglementquantumspaceachievedansatz
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It is shown how to construct renormalization group flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing the multiscale entanglement renormalization ansatz to continuum theories. The variational class of wavefunctions arising from this RG flow are translation invariant and exhibit an entropy-area law. We illustrate the construction for a free non-relativistic boson model, and argue that the full power of the construction should emerge in the case of interacting theories.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scaling at Chiral Clock Criticality via Entanglement Renormalization

    cond-mat.stat-mech 2026-04 unverdicted novelty 7.0

    MERA tensor networks produce continuously varying effective scaling dimensions along the Z3 chiral clock critical line, starting from 3-state Potts values as the chiral parameter increases.