QCD $β$ Function with Two Flavors of Dynamical Wilson Fermions

Details QCD $β$ Function with Two Flavors of Dynamical Wilson Fermions QCD $β$ Function with Two Flavors of Dynamical Wilson Fermions

1996-02-07

arxiv.org/abs/hep-lat/9602010v2

Phys.Rev. D54 (1996) 3546-3550

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages latex with 6 postscript figures included by epsf. Text includes extensions and minor revisions. To be published in Ph

Scientific paper

10.1103/PhysRevD.54.3546

We test the asymptotic scaling behavior of state-of-the-art simulations of QCD with two flavors of light Wilson fermions. This is done by matching $\pi$ and $\rho$ masses on lattices of size $16^3\times32$ and $8^3\times16$. We find that at $\beta=6/g^2=5.3$ matching is not possible over a range extending down to $\beta=3.5$. The large lattice data at $\beta=5.5$ matches the small lattice values at $\beta=4.9(1)$ leading to a shift $\Delta\beta=0.6(1)$, considerably larger than the perturbative prediction of $0.45$. In both cases we conclude that the simulations are very far from the asymptotic scaling region.

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