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

Francis Bursa, Luigi Del Debbio, Liam Keegan, Claudio Pica, Thomas Pickup

Published 2010-10-05Version 1

We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. By using the Schr\"odinger 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.