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

doi:10.22323/1.396.0313

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 proceeding › Conference contribution

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�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 language	English
Title of host publication	Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
Publisher	Sissa Medialab Srl
Pages	1-10
Volume	396
DOIs	https://doi.org/10.22323/1.396.0313
Publication status	Published - 8 Jul 2022
Event	The 38th International Symposium on Lattice Field Theory - Massachusetts Institute of Technology, Cambridge, United States Duration: 26 Jul 2021 → 30 Jul 2021 Conference number: 38 https://indico.cern.ch/event/1006302/

Publication series

Name	Proceedings of Science
Publisher	Sissa Medilab
ISSN (Electronic)	1824-8039

Conference

Conference	The 38th International Symposium on Lattice Field Theory
Abbreviated title	LATTICE 2021
Country/Territory	United States
City	Cambridge
Period	26/07/21 → 30/07/21
Internet address	https://indico.cern.ch/event/1006302/

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2 Finished
2 Active

European network for Particle physics, Lattice field theory and Extreme computing
Portelli, A.
EU government bodies
1/01/19 → 30/09/23
Project: Research
Search for new physics through lattice simulations
Portelli, A.
EU government bodies
1/10/17 → 30/09/23
Project: Research
Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
STFC
1/10/17 → 30/09/21
Project: Research

Cite this

Lee, J., Dobson, E., Juttner, A., Kitching-Morley, B., Nourry, V., Portelli, A., Rocha, H. B., Skenderis, K., & Debbio, L. D. (2022). Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow. In Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) (Vol. 396, pp. 1-10). (Proceedings of Science). Sissa Medialab Srl. https://doi.org/10.22323/1.396.0313

@inproceedings{dc63603903204de68d4e11eb6edcd15f,

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

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�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.",

author = "Joseph Lee and Elizabeth Dobson and Andreas Juttner and Ben Kitching-Morley and Valentin Nourry and Antonin Portelli and Rocha, {Henrique Bergallo} and Kostas Skenderis and Debbio, {Luigi Del}",

note = "The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital grants ST/P002307/1 and ST/R002452/1 and STFC operations grant ST/R00689X/1. DiRAC is part of the National e-Infrastructure. A.J. and K.S. acknowledge funding from STFC consolidated grants ST/P000711/1 and ST/T000775/1. A.P. is supported in part by UK STFC grant ST/P000630/1. A.P., J.K.L.L., V.N., and H.B.R are funded in part by the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme under grant agreement No 757646 and A.P. additionally grant agreement No 813942. J.K.L.L. is also partly funded by the Croucher foundation through the Croucher Scholarships for Doctoral Study. B.K.M. was supported by the EPSRC Centre for Doctoral Training in Next Generation Computational Modelling Grant No. EP/L015382/1. V.N. is partially funded by the research internship funds of the Universit{\'e} Paris-Saclay. L.D.D. is supported by an STFC Consolidated Grant, ST/P0000630/1, and a Royal Society Wolfson Research Merit Award, WM140078..; The 38th International Symposium on Lattice Field Theory, LATTICE 2021 ; Conference date: 26-07-2021 Through 30-07-2021",

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month = jul,

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doi = "10.22323/1.396.0313",

language = "English",

volume = "396",

series = "Proceedings of Science",

publisher = "Sissa Medialab Srl",

pages = "1--10",

booktitle = "Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)",

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url = "https://indico.cern.ch/event/1006302/",

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Lee, J, Dobson, E, Juttner, A, Kitching-Morley, B, Nourry, V, Portelli, A, Rocha, HB, Skenderis, K & Debbio, LD 2022, Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow. in Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021). vol. 396, Proceedings of Science, Sissa Medialab Srl, pp. 1-10, The 38th International Symposium on Lattice Field Theory, Cambridge, Massachusetts, United States, 26/07/21. https://doi.org/10.22323/1.396.0313

Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow. / Lee, Joseph; Dobson, Elizabeth; Juttner, Andreas et al.

Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021). Vol. 396 Sissa Medialab Srl, 2022. p. 1-10 (Proceedings of Science).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Renormalisation of the 3D SU(N) scalar energy-momentum tensor using the Wilson flow

AU - Lee, Joseph

AU - Dobson, Elizabeth

AU - Juttner, Andreas

AU - Kitching-Morley, Ben

AU - Nourry, Valentin

AU - Portelli, Antonin

AU - Rocha, Henrique Bergallo

AU - Skenderis, Kostas

AU - Debbio, Luigi Del

N1 - Conference code: 38

PY - 2022/7/8

Y1 - 2022/7/8

N2 - 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.

AB - 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.

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DO - 10.22323/1.396.0313

M3 - Conference contribution

VL - 396

T3 - Proceedings of Science

SP - 1

EP - 10

BT - Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)

PB - Sissa Medialab Srl

T2 - The 38th International Symposium on Lattice Field Theory

Y2 - 26 July 2021 through 30 July 2021

ER -

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

Abstract

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Projects

European network for Particle physics, Lattice field theory and Extreme computing

Search for new physics through lattice simulations

Particle Theory at the Higgs Centre

Cite this