SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis

Details SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis

2012-02-13

arxiv.org/abs/1202.2675v1

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 15 figures

Scientific paper

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.

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