PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Towards a holographic description of cosmology: Renormalisation of the energy-momentum tensor of the dual QFT
J. Lee,* L. Del Debbio, A. Juttner, A. Portelli, K. Skenderis on behalf of LatCos Collaboration
*corresponding author
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Pre-published on: January 09, 2020
Published on: August 27, 2020
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 3$d$ massless $SU(N)$ scalar matrix field theory. In this work, we focus on the renormalisation of the energy-momentum tensor 2-point function, which can be related to the CMB power spectra. Here we present a non-perturbative procedure to remove divergences resulting from the loss of translational invariance on the lattice, by imposing Ward identities. This 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/10.22323/1.363.0027
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