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arXiv · 1711.05695

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

Thorsten Lang·Klaus Liegener·Thomas Thiemann
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Abstract

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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Thorsten Lang, Klaus Liegener, Thomas Thiemann. 2019-07-06. Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance. https://doi.org/10.1088/1361-6382%2Faaec43

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