Two-Color Schrodinger Functional with Six-Flavors of Stout-Smeared Wilson Fermions

We study the Schr\"odinger functional running coupling in the SU(2) gauge theory with six-flavors of massless fermions. The aim is to determine whether the above theory has an infrared fixed point (IRFP). We use the standard Wilson gauge action and the stout-smeared Wilson fermion action. Here we present a determination of the critical mass as a function of the bare coupling and a preliminary study of the phase diagram of this lattice action. We also find preliminary indication that this theory has no IRFP. While this conclusion is not yet definite, we also show that with this approach we will be able to take a proper continuum limit and clearly determine the status of this theory with a reasonable amount of computer time.