Nonperturbative infrared fixed point in sextet QCD
Benjamin Svetitsky, Yigal Shamir (Tel Aviv University), Thomas DeGrand, (University of Colorado)
TL;DR
This paper investigates the SU(3) gauge theory with sextet fermions, revealing a nonperturbative infrared fixed point through lattice calculations, which has implications for technicolor models.
Contribution
It provides the first lattice evidence of a nonperturbative infrared fixed point in sextet QCD using Schrödinger functional methods.
Findings
Discrete beta function changes sign near g^2=2.0
Indicates an infrared-stable fixed point
Breaks perturbative expectations at weak coupling
Abstract
The SU(3) gauge theory with fermions in the sextet representation is one of several theories of interest for technicolor models. We have carried out a Schrodinger functional (SF) calculation for the lattice theory with two flavors of Wilson fermions. We find that the discrete beta function changes sign when the SF renormalized coupling is in the neighborhood of g^2 = 2.0, showing a breakdown of the perturbative picture even though the coupling is weak. The most straightforward interpretation is an infrared-stable fixed point.
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