New lattice results for SU(2) gauge theory with one adjoint Dirac flavor

Abstract

Motivated by recent scenarios of exotic infrared behaviour and by earlier lattice findings, we present results for the SU(2) gauge theory with one Dirac flavor in the adjoint representation. This provides a major update on our previous investigation of this theory, including data for four values of the gauge coupling $\beta$, and for smaller masses and larger volumes than previously considered. Results for the particle spectrum, topological observables, and the anomalous dimension from both hyperscaling and the Dirac mode number are presented. At the finest coupling, we observe a mass anomalous dimension of ${\gamma }_{\ast }\gtrsim 0.6$. Our findings are analysed in relation to possible infrared behaviours of the model. In particular, we show that our results are not compatible with a confining scenario in which chiral symmetry is broken.

Comments: update title to disambiguate from PRD paper. no other changes. 8 pages, 5 figures. Talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021) - Zoom/Gather@Massachusetts Institute of Technology