Renormalization of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow
Renormalization of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow
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 interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator ϕ2. 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.
hep-lat, hep-th
Lee, Joseph K.L.
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Debbio, Luigi Del
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Dobson, Elizabeth
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Jüttner, Andreas
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Kitching-Morley, Ben
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Nourry, Valentin
a860a8dd-d375-4b42-ae00-7a9d0d50c574
Portelli, Antonin
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Rocha, Henrique Bergallo
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Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Lee, Joseph K.L.
d7033d35-436a-44d8-a1db-5c07ad9cb6e9
Debbio, Luigi Del
4820afb6-c91b-4b30-a197-4805ebbc3c01
Dobson, Elizabeth
a511f10f-c17e-4416-9ff5-4da1a2a4b017
Jüttner, Andreas
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Kitching-Morley, Ben
2fae2631-6c01-4522-800f-44308ea5ecf1
Nourry, Valentin
a860a8dd-d375-4b42-ae00-7a9d0d50c574
Portelli, Antonin
a2526d4a-144e-4095-802a-229cddb10f0f
Rocha, Henrique Bergallo
4cc4bd22-ef05-430a-b91d-f28ece2d9b1b
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
[Unknown type: UNSPECIFIED]
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 ϕ4 interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator ϕ2. 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.
Text
2202.03970v1
- Author's Original
Available under License Other.
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e-pub ahead of print date: 8 February 2022
Additional Information:
10 pages, 3 figures, presented at the 38th International Symposium on Lattice Field Theory - LATTICE2021 - 26-30 July, 2021, Massachusetts Institute of Technology
Keywords:
hep-lat, hep-th
Identifiers
Local EPrints ID: 469144
URI: http://eprints.soton.ac.uk/id/eprint/469144
PURE UUID: e84a0c57-eea8-4b23-b6f9-f29720657090
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Date deposited: 07 Sep 2022 17:38
Last modified: 17 Mar 2024 03:28
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Contributors
Author:
Joseph K.L. Lee
Author:
Luigi Del Debbio
Author:
Elizabeth Dobson
Author:
Ben Kitching-Morley
Author:
Valentin Nourry
Author:
Antonin Portelli
Author:
Henrique Bergallo Rocha
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