SU(4) lattice gauge theory with decuplet fermions: Schr\"odinger functional analysis

Understand

We complete a program of study of SU(N) gauge theories coupled to two flavors of fermions in the two-index symmetric representation by performing numerical simulations in SU(4).

• The beta function, defined and calculated via the Schr\"odinger functional, runs more slowly than the two-loop perturbative result.
• The mass anomalous dimension levels off in strong coupling at a value of about 0.45, rendering this theory unsuitable for walking technicolor.
• A large-N comparison of this data with results from SU(2) and SU(3) reveals striking regularities.