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
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
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.