Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions

Details Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions

2008-03-12

arxiv.org/abs/0803.1707v2

Phys.Rev.D78:031502,2008

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages RevTex, 2 figures. We have added a graph of the discrete beta function for rescaling from L=6 to L=8. Also some rephra

Scientific paper

10.1103/PhysRevD.78.031502

We have carried out a Schrodinger functional (SF) calculation for the SU(3) lattice gauge theory with two flavors of Wilson fermions in the sextet representation of the gauge group. We find that the discrete beta function, which governs the change in the running coupling under a discrete change of spatial scale, changes sign when the SF renormalized coupling is in the neighborhood of g^2=2.0. The simplest explanation is that the theory has an infrared-attractive fixed point, but more complicated possibilities are allowed by the data. While we compare rescalings by factors of 2 and 4/3, we work at a single lattice spacing.

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