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

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

Physical Review D

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

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DOI (Published version): https://doi.org/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
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URI: https://cronfa.swan.ac.uk/Record/cronfa71521
first_indexed 2026-03-02T14:59:22Z
last_indexed 2026-03-03T05:29:58Z
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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&#x2062;(6), while for f=2 the anomalous dimension converges more rapidly with to a value of *=0.291&#x2062;(9). 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spelling 2026-03-02T14:59:20.1441682 v2 71521 2026-03-02 SU(2) gauge theory with one and two adjoint fermions towards the continuum limit e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false c4e7af24c5fbc16da11727a0c6ade30d Julian Lenz Julian Lenz true false 5d1684deece7a049a6d72817114cc359 Andreas Athenodorou Andreas Athenodorou true false 2026-03-02 MACS 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 0 0 0 0001-01-01 https://doi.org/10.1103/z6bp-cckl COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS 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 2026-03-02T14:59:20.1441682 2026-03-02T14:44:11.2484430 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Ed Bennett 0000-0002-1678-6701 1 Biagio Lucini 0000-0001-8974-8266 2 Julian Lenz 3 Andreas Athenodorou 4 Pietro Butti 0000-0003-1141-9205 5 Georg Bergner 0000-0002-7325-2220 6 350 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 towards the continuum limit
spellingShingle SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
Ed Bennett
Biagio Lucini
Julian Lenz
Andreas Athenodorou
title_short SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
title_full SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
title_fullStr SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
title_full_unstemmed SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
title_sort SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
author_id_str_mv e1a8e7927d2b093acdc54e74eac95e38
7e6fcfe060e07a351090e2a8aba363cf
c4e7af24c5fbc16da11727a0c6ade30d
5d1684deece7a049a6d72817114cc359
author_id_fullname_str_mv e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
c4e7af24c5fbc16da11727a0c6ade30d_***_Julian Lenz
5d1684deece7a049a6d72817114cc359_***_Andreas Athenodorou
author Ed Bennett
Biagio Lucini
Julian Lenz
Andreas Athenodorou
author2 Ed Bennett
Biagio Lucini
Julian Lenz
Andreas Athenodorou
Pietro Butti
Georg Bergner
format Journal article
container_title Physical Review D
institution Swansea University
doi_str_mv https://doi.org/10.1103/z6bp-cckl
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
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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 0001-01-01T05:32:55Z
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score 11.09819

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