| Article | |
| Report number | arXiv:2202.03970 |
| Title | Renormalization of the $3D$$SU(N)$ scalar energy-momentum tensor using the Wilson flow |
| Related title | Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow |
| Author(s) | Lee, Joseph K.L. (Edinburgh U., Inst. Astron.) ; Dobson, Elizabeth (Edinburgh U., Inst. Astron. ; Graz U.) ; Jüttner, Andreas (Southampton U. ; CERN) ; Kitching-Morley, Ben (Southampton U. ; U. Southampton (main)) ; Nourry, Valentin (Edinburgh U., Inst. Astron. ; APC, Paris) ; Portelli, Antonin (Edinburgh U., Inst. Astron.) ; Rocha, Henrique Bergallo (Edinburgh U., Inst. Astron.) ; Skenderis, Kostas (Southampton U. ; U. Southampton (main)) ; Del Debbio, Luigi (Edinburgh U., Inst. Astron.) |
| Publication | 2022-05-16 |
| Imprint | 2022-02-08 |
| Number of pages | 10 |
| Note | 10 pages, 3 figures, presented at the 38th International Symposium on Lattice Field Theory - LATTICE2021 - 26-30 July, 2021, Massachusetts Institute of Technology |
| In: | PoS LATTICE2021 (2022) 313 |
| In: | 38th International Symposium on Lattice Field Theory, Online, 26 - 30 Jul 2021, pp.313 |
| DOI | 10.22323/1.396.0313 |
| Subject category | hep-th ; Particle Physics - Theory ; hep-lat ; Particle Physics - Lattice |
| 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. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2022-2024 The author(s) (License: CC-BY-NC-ND-4.0) |
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