Toward the QCD $β$ Function with Dynamical Wilson Fermions

Details Toward the QCD $β$ Function with Dynamical Wilson Fermions Toward the QCD $β$ Function with Dynamical Wilson Fermions

1994-11-25

arxiv.org/abs/hep-lat/9411057v1

Nucl.Phys.Proc.Suppl. 42 (1995) 796-798

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented by K.M. Bitar at Lat94 Conference, September 27 -- October 1, 1994, Bielefeld, Germany. 3 pages. Selfunwrapping

Scientific paper

10.1016/0920-5632(95)00384-L

We present data for the scaling behavior of lattice QCD with two flavors of light Wilson fermions. This is done by matching $\pi$ n and $\rho$ masses at the two lattice sizes of $16^3\times32 $ and $8^3\times16$. We find that at $\beta=6/g^2\equiv5.3$ the matching does not occur over a range extending down to $\beta=3.5$. For $\beta=5.5$ matching may be achieved at $\beta=4.8-4.9$, leading to a $\Delta \beta =0.6-0.7$ which is higher than the perturbative 2-loop value of 0.45. In both cases we conclude that the simulations are very far from the perturbative scaling region.

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