Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions

Details Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions

2009-10-16

arxiv.org/abs/0910.3072v1

Phys.Rev.D80:114507,2009

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, revtex, 13 figures

Scientific paper

10.1103/PhysRevD.80.114507

The observed slow running of the gauge coupling in SU(3) lattice gauge theory with two flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling, the fermion mass, and that at zero mass correlation functions decay algebraically. I perform a finite-size scaling study on simulation data at two values of the bare gauge coupling with this assumption and observe a common exponent for the scaling of the correlation length with the fermion mass, y_m ~ 1.5. An analysis of the scaling of valence Dirac eigenvalues at one of these bare couplings produces a similar number.

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