SU(2) gauge theory with one and two adjoint fermions toward the continuum limit

Athenodorou, Andreas; Bennett, Ed; Bergner, Georg; Butti, Pietro; Lenz, Julian; Lucini, Biagio

doi:10.1103/z6bp-cckl

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SU(2) gauge theory with one and two adjoint fermions toward the continuum limit

Andreas Athenodorou, Ed Bennett

, Georg Bergner, Pietro Butti

, Julian Lenz, Biagio Lucini

Physical Review D, Volume: 113, Issue: 7

Swansea University Authors: Andreas Athenodorou, Ed Bennett , Julian Lenz, Biagio Lucini

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DOI (Published version): 10.1103/z6bp-cckl

Abstract

We provide an extended lattice study of the SU(2) gauge theory coupled to one Dirac fermion flavour (Nf =1) transforming in the adjoint representation as the continuum limit is approached. This investigation is supplemented by results obtained for the SU(2) gauge theory with two Dirac fermion flavou...

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Published in:	Physical Review D
ISSN:	2470-0010 2470-0029
Published:	American Physical Society (APS) 2026
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa71521

first_indexed	2026-03-02T14:59:22Z
last_indexed	2026-04-24T04:16:11Z
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This investigation is supplemented by results obtained for the SU(2) gauge theory with two Dirac fermion flavours (Nf=2) transforming in the adjoint representation, for which we perform numerical investigations at three values of the lattice spacing. The purpose of our study is to advance the characterisation of the infrared properties of both theories, which previous investigations have concluded to be in the conformal window. For both, we determine the mass spectrum and the anomalous dimension of the fermion condensate using finite-size hyperscaling of the spectrum, mode number analysis of the Dirac operator (for which we improve on our previous proposal) and the ratio of masses of the lightest spin-2 particle over the lightest scalar. All methods provide a consistent picture, with the anomalous dimension of the condensate * decreasing significantly as one approaches the continuum limit for the Nf =1 theory towards a value consistent with =0.170⁢(6), while for f=2 the anomalous dimension converges more rapidly with to a value of =0.291⁢(9). 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spelling	2026-04-22T14:55:33.5533140 v2 71521 2026-03-02 SU(2) gauge theory with one and two adjoint fermions toward the continuum limit 5d1684deece7a049a6d72817114cc359 Andreas Athenodorou Andreas Athenodorou true false e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false c4e7af24c5fbc16da11727a0c6ade30d Julian Lenz Julian Lenz true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2026-03-02 BGPS We provide an extended lattice study of the SU(2) gauge theory coupled to one Dirac fermion flavour (Nf =1) transforming in the adjoint representation as the continuum limit is approached. This investigation is supplemented by results obtained for the SU(2) gauge theory with two Dirac fermion flavours (Nf=2) transforming in the adjoint representation, for which we perform numerical investigations at three values of the lattice spacing. The purpose of our study is to advance the characterisation of the infrared properties of both theories, which previous investigations have concluded to be in the conformal window. For both, we determine the mass spectrum and the anomalous dimension of the fermion condensate using finite-size hyperscaling of the spectrum, mode number analysis of the Dirac operator (for which we improve on our previous proposal) and the ratio of masses of the lightest spin-2 particle over the lightest scalar. All methods provide a consistent picture, with the anomalous dimension of the condensate * decreasing significantly as one approaches the continuum limit for the Nf =1 theory towards a value consistent with =0.170⁢(6), while for f=2 the anomalous dimension converges more rapidly with to a value of =0.291⁢(9). A chiral perturbation theory analysis shows that the infrared behaviour of both theories is incompatible with the breaking of chiral symmetry. Journal Article Physical Review D 113 7 American Physical Society (APS) 2470-0010 2470-0029 8 4 2026 2026-04-08 10.1103/z6bp-cckl COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Other EPSRC, STFC, European Commission, Deputy Ministry of Research, Innovation and Digital Policy and the Cyprus Research and Innovation Foundation, EuroHPC-JU, DGA-FSE , Aragon Government and the European Union - NextGenerationEU Recovery and Resilience Program, Deutsche Forschungsgemeinschaft 85764, 810660, 101101903, H2020-MSCAITN-2018- 813942, 020-E21-17R, CEFCA-CAPA-ITAINNOVA, EP/V052489/1, EP/X017168/1, ST/T000813/1, 813942, 432299911, 431842497 2026-04-22T14:55:33.5533140 2026-03-02T14:44:11.2484430 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Andreas Athenodorou 1 Ed Bennett 0000-0002-1678-6701 2 Georg Bergner 3 Pietro Butti 0000-0003-1141-9205 4 Julian Lenz 5 Biagio Lucini 0000-0001-8974-8266 6 71521__36552__03272796a1254db3a645d2bc95e73a9b.pdf 71521.VoR.pdf 2026-04-22T14:53:03.3776832 Output 3428893 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/ 350 Ed Bennett 0000-0002-1678-6701 e.j.bennett@swansea.ac.uk true https://doi.org/10.5281/zenodo.13128504 false
title	SU(2) gauge theory with one and two adjoint fermions toward the continuum limit
spellingShingle	SU(2) gauge theory with one and two adjoint fermions toward the continuum limit Andreas Athenodorou Ed Bennett Julian Lenz Biagio Lucini
title_short	SU(2) gauge theory with one and two adjoint fermions toward the continuum limit
title_full	SU(2) gauge theory with one and two adjoint fermions toward the continuum limit
title_fullStr	SU(2) gauge theory with one and two adjoint fermions toward the continuum limit
title_full_unstemmed	SU(2) gauge theory with one and two adjoint fermions toward the continuum limit
title_sort	SU(2) gauge theory with one and two adjoint fermions toward the continuum limit
author_id_str_mv	5d1684deece7a049a6d72817114cc359 e1a8e7927d2b093acdc54e74eac95e38 c4e7af24c5fbc16da11727a0c6ade30d 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv	5d1684deece7a049a6d72817114cc359_*_Andreas Athenodorou e1a8e7927d2b093acdc54e74eac95e38__Ed Bennett c4e7af24c5fbc16da11727a0c6ade30d__Julian Lenz 7e6fcfe060e07a351090e2a8aba363cf_*_Biagio Lucini
author	Andreas Athenodorou Ed Bennett Julian Lenz Biagio Lucini
author2	Andreas Athenodorou Ed Bennett Georg Bergner Pietro Butti Julian Lenz Biagio Lucini
format	Journal article
container_title	Physical Review D
container_volume	113
container_issue	7
publishDate	2026
institution	Swansea University
issn	2470-0010 2470-0029
doi_str_mv	10.1103/z6bp-cckl
publisher	American Physical Society (APS)
college_str	Faculty of Science and Engineering
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department_str	School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
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description	We provide an extended lattice study of the SU(2) gauge theory coupled to one Dirac fermion flavour (Nf =1) transforming in the adjoint representation as the continuum limit is approached. This investigation is supplemented by results obtained for the SU(2) gauge theory with two Dirac fermion flavours (Nf=2) transforming in the adjoint representation, for which we perform numerical investigations at three values of the lattice spacing. The purpose of our study is to advance the characterisation of the infrared properties of both theories, which previous investigations have concluded to be in the conformal window. For both, we determine the mass spectrum and the anomalous dimension of the fermion condensate using finite-size hyperscaling of the spectrum, mode number analysis of the Dirac operator (for which we improve on our previous proposal) and the ratio of masses of the lightest spin-2 particle over the lightest scalar. All methods provide a consistent picture, with the anomalous dimension of the condensate * decreasing significantly as one approaches the continuum limit for the Nf =1 theory towards a value consistent with =0.170⁢(6), while for f=2 the anomalous dimension converges more rapidly with to a value of =0.291⁢(9). A chiral perturbation theory analysis shows that the infrared behaviour of both theories is incompatible with the breaking of chiral symmetry.
published_date	2026-04-08T06:40:57Z
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score	11.104262

SU(2) gauge theory with one and two adjoint fermions toward the continuum limit

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