Towards a holographic description of cosmology: Renormalisation of the energy-momentum tensor of the dual QFT
Towards a holographic description of cosmology: Renormalisation of the energy-momentum tensor of the dual QFT
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 3$d$ massless $SU(N)$ scalar matrix field theory. In this work, we focus on the renormalisation of the energy-momentum tensor 2-point function, which can be related to the CMB power spectra. Here we present a non-perturbative procedure to remove divergences resulting from the loss of translational invariance on the lattice, by imposing Ward identities. This 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.
d7033d35-436a-44d8-a1db-5c07ad9cb6e9
Debbio, Luigi Del
4820afb6-c91b-4b30-a197-4805ebbc3c01
Jüttner, Andreas
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Portelli, Antonin
a2526d4a-144e-4095-802a-229cddb10f0f
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
27 August 2020
Lee, Joseph K. L.
d7033d35-436a-44d8-a1db-5c07ad9cb6e9
Debbio, Luigi Del
4820afb6-c91b-4b30-a197-4805ebbc3c01
Jüttner, Andreas
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Portelli, Antonin
a2526d4a-144e-4095-802a-229cddb10f0f
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Lee, Joseph K. L., Debbio, Luigi Del, Jüttner, Andreas, Portelli, Antonin and Skenderis, Kostas
(2020)
Towards a holographic description of cosmology: Renormalisation of the energy-momentum tensor of the dual QFT.
PoS.
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 3$d$ massless $SU(N)$ scalar matrix field theory. In this work, we focus on the renormalisation of the energy-momentum tensor 2-point function, which can be related to the CMB power spectra. Here we present a non-perturbative procedure to remove divergences resulting from the loss of translational invariance on the lattice, by imposing Ward identities. This will allow us to make predictions for the CMB power spectra in the regime where the dual QFT is non-perturbative.
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1909.13867v1
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Submitted date: 30 September 2019
Published date: 27 August 2020
Additional Information:
7 pages, 2 figures, presented at the 37th International Symposium on Lattice Field Theory - LATTICE2019 - 16-22 June, 2019, Wuhan, China
Venue - Dates:
37th International Symposium on Lattice Field Theory, Wuhan, Wuhan, China, 2019-06-16 - 2019-06-22
Keywords:
hep-lat, hep-th
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Local EPrints ID: 448601
URI: http://eprints.soton.ac.uk/id/eprint/448601
PURE UUID: 8cea35c9-b67f-484a-ba6e-6c169630686f
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Date deposited: 28 Apr 2021 16:30
Last modified: 17 Mar 2024 03:28
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Contributors
Author:
Joseph K. L. Lee
Author:
Luigi Del Debbio
Author:
Antonin Portelli
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