Published November 8, 1993 | Version v1
Journal article

Scaling study of pure gauge lattice QCD by Monte Carlo renormalization group method

  • 1. Research Center for Computational Science, Fujitsu Limited, Mihama-ku, Chiba 261 (Japan)
  • 2. Interdisziplinaeres Projektzentrum fuer Supercomputing, Eidgenoessische Technische Hochschule Zuerich, CH-8092 Zuerich (Switzerland)
  • 3. Department of Applied Physics, Faculty of Engineering, Fukui University, Fukui 910 (Japan)
  • 4. Department of Physics, Hiroshima University, Higashi-Hiroshima 724 (Japan)
  • 5. Faculty of Education, Yamagata University, Yamagata 990 (Japan)
  • 6. Forschungsstaette der Evangelischen Studiengemeinschaft Heidelberg Institut fuer Theoretische Physik foni Universitaet Heidelberg, D-6900 Heidelberg (Germany)

Description

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 on both 324 and 164 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 O(g7) in the 2-loop lattice β function. Based on this improvement, √σ /ΛMbarSnf=0 is estimated to be 2.2±0.1 from the analysis of the string tension σ

Additional details

Publishing Information

Journal Title
Physical Review Letters
Journal Volume
71
Journal Issue
19
Journal Page Range
p. 3063-3066.
ISSN
0031-9007
CODEN
PRLTAO

Optional Information

Collaborations
(QCDTARO Collaboration).