Scaling Study of Pure Gauge Lattice QCD by Monte Carlo Renormalization Group Method

Details Scaling Study of Pure Gauge Lattice QCD by Monte Carlo Renormalization Group Method Scaling Study of Pure Gauge Lattice QCD by Monte Carlo Renormalization Group Method

1993-07-07

arxiv.org/abs/hep-lat/9307004v1

Phys.Rev.Lett.71:3063-3066,1993

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages of A4 format including 7-postscript figures

Scientific paper

10.1103/PhysRevLett.71.3063

The scaling behavior of pure gauge SU(3) in the region $\beta=5.85 - 7.60$ is examined by a Monte Carlo Renormalization Group analysis. The coupling shifts induced by factor 2 blocking are measured both on 32$^4$ and 16$^4$ lattices with high statistics. A systematic deviation from naive 2-loop scaling is clearly seen. The mean field and effective coupling constant schemes explain part, but not all of the deviation. It can be accounted for by a suitable change of coupling constant, including a correction term ${\cal O}(g^7)$ in the 2-loop lattice $\beta$-function. Based on this improvement, $\sqrt{\sigma}/\Lambda_{\overline {MS}}^{n_f=0}$ is estimated to be $2.2(\pm 0.1)$ from the analysis of the string tension $\sigma$.

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