Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow

Joseph Lee*, Elizabeth Dobson, Andreas Juttner, Ben Kitching-Morley, Valentin Nourry, Antonin Portelli, Henrique Bergallo Rocha, Kostas Skenderis, Luigi Del Debbio

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

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 ϕ4�4 interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator ϕ2�2. We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for N=2�=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.
Original languageEnglish
Title of host publicationProceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
PublisherSissa Medialab Srl
Pages1-10
Volume396
DOIs
Publication statusPublished - 8 Jul 2022
EventThe 38th International Symposium on Lattice Field Theory - Massachusetts Institute of Technology, Cambridge, United States
Duration: 26 Jul 202130 Jul 2021
Conference number: 38
https://indico.cern.ch/event/1006302/

Publication series

NameProceedings of Science
PublisherSissa Medilab
ISSN (Electronic)1824-8039

Conference

ConferenceThe 38th International Symposium on Lattice Field Theory
Abbreviated titleLATTICE 2021
Country/TerritoryUnited States
CityCambridge
Period26/07/2130/07/21
Internet address

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