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

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), [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

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.org/0000-0002-3978-0927
ORCID for Kostas Skenderis: orcid.org/0000-0003-4509-5472

## Catalogue record

Date deposited: 10 May 2021 16:31

## 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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