Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow
J. Lee*,
E. Dobson,
A. Juttner,
B. Kitching-Morley,
V. Nourry,
A. Portelli,
H. Bergallo Rocha,
K. Skenderis and
L. Del Debbio*: corresponding author
Pre-published on:
May 16, 2022
Published on:
July 08, 2022
Abstract
In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the 3D massless SU(N) scalar matrix field theory with a $\phi^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator $\phi^2$. We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for $N=2$. Obtaining the renormalized EMT will allow us to make predictions for the CMB power spectra in the regime where the dual QFT is non-perturbative.
DOI: https://doi.org/10.22323/1.396.0313
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