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arXiv · hep-lat/9307004

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

K. Akemi·Ph. deForcrand·M. Fujisaki·T. Hashimoto·H. C. Hege·S. Hioki·O. Miyamura·A. Nakamura·M. Okuda I. O. Stamatescu·Y. Tago·T. Takaishi
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Abstract

The scaling behavior of pure gauge SU(3) in the region $β=5.85 - 7.60$ 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 $β$-function. Based on this improvement, $\sqrtσ/Λ_{\overline {MS}}^{n_f=0}$ is estimated to be $2.2(\pm 0.1)$ from the analysis of the string tension $σ$.

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K. Akemi, Ph. deForcrand, M. Fujisaki, T. Hashimoto, H. C. Hege, S. Hioki, O. Miyamura, A. Nakamura, M. Okuda I. O. Stamatescu, Y. Tago, T. Takaishi. 1993-07-07. Scaling Study of Pure Gauge Lattice QCD by Monte Carlo Renormalization Group Method. https://doi.org/10.1103/physrevlett.71.3063

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