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

Andreas Athenodorou; Biagio Lucini; Ed Bennett; Georg Bergner

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

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

Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini This is my paper

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keywords adjointdiractheoryconformaldifferentfermionicflavorgauge

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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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SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
hep-lat 2024-07 unverdicted novelty 5.0

Extended lattice simulations yield continuum-limit anomalous dimensions γ* = 0.170(6) for Nf=1 and γ* = 0.291(9) for Nf=2 adjoint SU(2), with chiral perturbation theory ruling out spontaneous chiral symmetry breaking.