Mass anomalous dimension and running of the coupling in SU(2) with six fundamental fermions

Abstract

We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. By using the Schrödinger Functional method we measure the running of the coupling and the fermion mass over a wide range of length scales. We observe very slow running of the coupling and construct an estimator for the fermion mass anomalous dimension giving $0.135<\gamma <1.03$ in the region compatible with an IR fixed point.

Comments: 7 pages, 6 figures. Talk given at the XXVIII International Symposium on Lattice Field Theory (Lattice 2010), Villasimius, Italy, June 14-19, 2010