PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
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
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Pre-published on: May 16, 2022
Published on: July 08, 2022
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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