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Renormalisation of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow

Renormalisation of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow
Renormalisation of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow
A non-perturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson Flow to eliminate divergent contact terms makes it a practical method for renormalising the energy-momentum tensor on the lattice. In this paper, we utilise the Wilson Flow to define a procedure to renormalise the energy-momentum tensor for a three-dimensional massless scalar field in the adjoint of $SU(N)$ with a $\varphi^4$ interaction on the lattice. In this theory the energy momentum tensor can mix with $\varphi^2$ and we present numerical results for the mixing coefficient for the $N=2$ theory.
hep-lat, hep-th
2470-0029
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
Lee, Joseph K. L.
d7033d35-436a-44d8-a1db-5c07ad9cb6e9
Nourry, Valentin
a860a8dd-d375-4b42-ae00-7a9d0d50c574
Portelli, Antonin
3a105e9a-38d9-4ae0-b0f1-95623a5ad81f
Rocha, Henrique Bergallo
4cc4bd22-ef05-430a-b91d-f28ece2d9b1b
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
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
Lee, Joseph K. L.
d7033d35-436a-44d8-a1db-5c07ad9cb6e9
Nourry, Valentin
a860a8dd-d375-4b42-ae00-7a9d0d50c574
Portelli, Antonin
3a105e9a-38d9-4ae0-b0f1-95623a5ad81f
Rocha, Henrique Bergallo
4cc4bd22-ef05-430a-b91d-f28ece2d9b1b
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09

Debbio, Luigi Del, Dobson, Elizabeth, Jüttner, Andreas, Kitching-Morley, Ben, Lee, Joseph K. L., Nourry, Valentin, Portelli, Antonin, Rocha, Henrique Bergallo and Skenderis, Kostas (2021) Renormalisation of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow. Physical Review D, 103 (11). (doi:10.1103/PhysRevD.103.114501).

Record type: Article

Abstract

A non-perturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson Flow to eliminate divergent contact terms makes it a practical method for renormalising the energy-momentum tensor on the lattice. In this paper, we utilise the Wilson Flow to define a procedure to renormalise the energy-momentum tensor for a three-dimensional massless scalar field in the adjoint of $SU(N)$ with a $\varphi^4$ interaction on the lattice. In this theory the energy momentum tensor can mix with $\varphi^2$ and we present numerical results for the mixing coefficient for the $N=2$ theory.

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DZ12469 - Accepted Manuscript
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2009.14767v2
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More information

Submitted date: 30 September 2020
Accepted/In Press date: 16 April 2021
Published date: 3 June 2021
Additional Information: 26 pages, 8 figures
Keywords: hep-lat, hep-th

Identifiers

Local EPrints ID: 448897
URI: http://eprints.soton.ac.uk/id/eprint/448897
ISSN: 2470-0029
PURE UUID: b61fec91-a477-45c6-b553-afdb2898af76
ORCID for Andreas Jüttner: ORCID iD orcid.org/0000-0002-3978-0927
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

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Date deposited: 10 May 2021 16:31
Last modified: 08 Jun 2021 01:43

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Contributors

Author: Luigi Del Debbio
Author: Elizabeth Dobson
Author: Ben Kitching-Morley
Author: Joseph K. L. Lee
Author: Valentin Nourry
Author: Antonin Portelli
Author: Henrique Bergallo Rocha

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