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Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance

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arxiv 1711.05695 v2 pith:DJ2N7D6S submitted 2017-11-15 gr-qc hep-lathep-thmath-phmath.MPquant-ph

classification gr-qchep-lathep-thmath-phmath.MPquant-ph
keywords renormalisationarticlecaseflowfreehamiltonianscalarapproaches
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In this article we extend the test of Hamiltonian Renormalisation proposed in this series of articles to the D-dimensional case using a massive free scalar field. The concepts we introduce are explicitly computed for the D=2 case but transfer immediately to higher dimensions. In this article we define and verify a criterion that monitors, at finite resolution defined by a cubic lattice, whether the flow approaches a rotationally invariant fixed point.

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Cited by 2 Pith papers

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

  1. Hamiltonian renormalisation IX. U(1)**3 quantum gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    For the U(1)^3 toy model, the Hamiltonian renormalisation flow built from Narnhofer-Thirring or Fock inputs has fixed points that coincide with the previously known exact continuum solutions, with explicit convergence...

  2. Hamiltonian renormalisation VIII. P(Phi,2) quantum field theory

    hep-th 2025-05 conditional novelty 6.0 of 10

    For the P(Phi)2 model on a circle, the Hamiltonian renormalisation flow with Dirichlet kernels has the known continuum theory as its fixed point, and a naively local discretised coupling flows to the correct quasi-loc...

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