Scaling study of pure gauge lattice QCD by Monte Carlo renormalization group method
1993; American Physical Society; Volume: 71; Issue: 19 Linguagem: Inglês
10.1103/physrevlett.71.3063
ISSN1092-0145
AutoresK. Akemi, M. Fujisaki, M. Okuda, Y. Tago, Ph. de Forcrand, T. Hashimoto, S. Hioki, O. Miyamura, Tetsuya Takaishi, Atsushi Nakamura, I.O. Stamatescu,
Tópico(s)Particle physics theoretical and experimental studies
ResumoThe 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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