Hamiltonian renormalisation IV. Renormalisation flow of D  +  1 dimensional free scalar fields and rotation invariance

Lang, Thorsten; Liegener, Klaus; Thiemann, Thomas

doi:10.1088/1361-6382/aaec43

Hamiltonian renormalisation IV. Renormalisation flow of D + 1 dimensional free scalar fields and rotation invariance

Nov 15, 2017

28 pages

Published in:

Class.Quant.Grav. 35 (2018) 24, 245014

Published: Nov 28, 2018

e-Print:

1711.05695 [gr-qc]

DOI:

10.1088/1361-6382/aaec43

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Abstract: (IOP)

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.

Note:

28 pages

constructive QFT
renormalisation
background-independence
canonical formulation
rotation: invariance
field theory: scalar
renormalization
Hamiltonian: operator
higher-dimensional
fixed point

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