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arXiv · 1202.2675

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

Thomas DeGrand·Yigal Shamir·Benjamin Svetitsky
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Abstract

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 Schrödinger 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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Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky. 2012-02-13. SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis. https://doi.org/10.1103/physrevd.85.074506

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