Study of thermal SU(3) supersymmetric Yang-Mills theory and near-conformal theories from the gradient flow

Abstract

We compute the renormalization group flow of the mass anomalous dimension in adjoint QCD with $N_f=1$, $3/2$, and 2 Dirac fermions, using the gradient flow. Preliminary results are in agreement with at least a near-conformal scenario in all cases. At the largest flavor numbers we obtain the strongest indication for an IR conformal fixed point scenario. Moreover, we provide results for the thermal phase transitions in SU(3) supersymmetric Yang-Mills theory. We find hints for a connection between chiral and center symmetries in terms of a single first order phase transition where chiral symmetry is restored and center symmetry gets broken.

arXiv comment7 pages, 3 figures, talk given at the 37th International Symposium on Lattice Field Theory - Lattice2019,16-22 June 2019, Wuhan, China

References in corpus (7)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Walking in the SU(N)
• Chiral symmetry and the Yang--Mills gradient flow
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows
• The spectrum and mass anomalous dimension of SU(2) adjoint QCD with two Dirac flavours
• A study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow