Renormalization of the $3D$ $SU(N)$ scalar energy-momentum tensor using the Wilson flow
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 massless scalar matrix field theory with a interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator . We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for . 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.
Keywords
Cite
@article{arxiv.2202.03970,
title = {Renormalization of the $3D$ $SU(N)$ scalar energy-momentum tensor using the Wilson flow},
author = {Joseph K. L. Lee and Luigi Del Debbio and Elizabeth Dobson and Andreas Jüttner and Ben Kitching-Morley and Valentin Nourry and Antonin Portelli and Henrique Bergallo Rocha and Kostas Skenderis},
journal= {arXiv preprint arXiv:2202.03970},
year = {2022}
}
Comments
10 pages, 3 figures, presented at the 38th International Symposium on Lattice Field Theory - LATTICE2021 - 26-30 July, 2021, Massachusetts Institute of Technology