Gauge theories with fermions in the two-index symmetric representation

Abstract

We summarize our recent work on gauge theories with two flavors of fermions in the two-index symmetric representation: SU(2) gauge theory with adjoint fermions, SU(3) with sextets, and SU(4) with ten-dimensional-representation fermions. All three systems have beta functions smaller than their perturbative value, approaching a fixed point near the expected two-loop zero. In all cases the mass anomalous dimension is small, under 0.5.

Comments: 7 pages, 4 figures; talk at the XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 2011