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SU(2) gauge theory with one and two adjoint fermions toward the continuum limit
,
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...
| Published in: | Physical Review D |
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| ISSN: | 2470-0010 2470-0029 |
| Published: |
American Physical Society (APS)
2026
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa71521 |
| 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 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. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
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 |
| Issue: |
7 |