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.
@article{arxiv.1110.6845,
title = {Gauge theories with fermions in the two-index symmetric representation},
author = {Thomas DeGrand and Yigal Shamir and Benjamin Svetitsky},
journal= {arXiv preprint arXiv:1110.6845},
year = {2011}
}
Comments
7 pages, 4 figures; talk at the XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 2011