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

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

A nonperturbative 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 renormalizing the energy-momentum tensor on the lattice. In this paper, we utilize the Wilson flow to define a procedure to renormalize the energy-momentum tensor for a three-dimensional massless scalar field in the adjoint of SU(N) with a φ4 interaction on the lattice. In this theory the energy-momentum tensor can mix with φ2 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) Renormalization of the energy-momentum tensor in three-dimensional scalar SU(N) theories using the Wilson flow. Physical Review D, 103 (11), [114501]. (doi:10.1103/PhysRevD.103.114501).

Record type: Article

Abstract

A nonperturbative 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 renormalizing the energy-momentum tensor on the lattice. In this paper, we utilize the Wilson flow to define a procedure to renormalize the energy-momentum tensor for a three-dimensional massless scalar field in the adjoint of SU(N) with a φ4 interaction on the lattice. In this theory the energy-momentum tensor can mix with φ2 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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Submitted date: 30 September 2020
Accepted/In Press date: 16 April 2021
Published date: 3 June 2021
Additional Information: Funding Information: The authors would like to warmly thank Pavlos Vranas for his valuable support during the early stages of this project. We thank Masanori Hanada for collaboration at initial stages of this project. Simulations produced for this work were performed using the Grid and Hadrons libraries, which are free software under GPLv2. The data analysis was based on the LatAnalyze library , which is free software under GPLv3. This work was performed using the Cambridge Service for Data Driven Discovery (CSD3), part of which is operated by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility . 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 Unions Horizon 2020 research and innovation program under Grant Agreement No. 757646 and A. P. additionally under 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 Université Paris-Saclay. L. D. D. is supported by an STFC Consolidated Grant, ST/P0000630/1, and a Royal Society Wolfson Research Merit Award, WM140078. Publisher Copyright: © 2021 authors. Published by the American Physical Society.
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 Ben Kitching-Morley: ORCID iD orcid.org/0000-0003-3150-401X
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: 17 Mar 2024 03:27

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Contributors

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

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