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Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor

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arxiv 2103.10485 v2 pith:QZUXS5FQ submitted 2021-03-18 hep-lat hep-th

Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini This is my paper · ORCID
classification hep-lathep-th
keywords adjointdiractheoryconformaldifferentfermionicflavorgauge
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a major update on our investigations of SU(2) gauge theory with one Dirac flavor in the adjoint representation on the lattice. In particular we consider larger volumes, as well as four different values of the gauge coupling. We provide results for the spectrum including gluonic, fermionic, and hybrid observables, Polyakov loops, and the anomalous dimension of the fermionic condensate from the Dirac mode number. These data confirm that the theory is close to the lower boundary of the conformal window for adjoint fermions. Our investigations provide important insights regarding the realization of different infrared scenarios that have been conjectured for this theory.

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Cited by 3 Pith papers

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  1. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  2. Dilaton Effective Field Theory across the Conformal Edge

    hep-lat 2025-12 conditional novelty 5.0 of 10

    Fitting a dilaton EFT with a free exponent Δ to lattice spectra indicates SU(3) N_f=8 is confining (Δ<4) and SU(2) adjoint is infrared conformal (Δ>4).

  3. Dilatonic states, phase transitions, and criticality in holography

    hep-th 2026-07 accept novelty 3.0 of 10

    A review of holographic examples indicating that a light dilaton appears near critical endpoints of first-order zero-temperature phase transitions, with explicit but lower-dimensional demonstrations.

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