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

Journal Article · Mon Nov 08 00:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.71.3063· OSTI ID:5727353

Akemi, K; Fujisaki, M; Okuda, M; Tago, Y ^[1]; de Forcrand, P ^[2]; Hashimoto, T ^[3]; Hioki, S; Miyamura, O; Takaishi, T ^[4]; Nakamura, A ^[5]; Stamatescu, I O ^[6]

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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)

The scaling behavior of pure gauge SU(3) in the region [beta]=5.85[minus]7.60 is examined by a Monte Carlo renormalization group analysis. The coupling shifts induced by factor 2 blocking are measured on both 32[sup 4] and 16[sup 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 [ital O]([ital g][sup 7]) in the 2-loop lattice [beta] function. Based on this improvement, [radical][sigma] /[Lambda][sub M[bar S]][sup [ital n]][sub [ital f]]=0 is estimated to be 2.2[plus minus]0.1 from the analysis of the string tension [sigma].

• OSTI ID: 5727353
• Journal Information: Physical Review Letters; (United States), Vol. 71:19; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
LATTICE FIELD THEORY
SCALING
COUPLING CONSTANTS
GAUGE INVARIANCE
MONTE CARLO METHOD
RENORMALIZATION
SU-3 GROUPS
CALCULATION METHODS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
QUANTUM FIELD THEORY
SU GROUPS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662230 - Quantum Chromodynamics- (1992-)