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

## Abstract

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].

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 5727353

- Alternate Identifier(s):
- OSTI ID: 5727353

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters; (United States)

- Additional Journal Information:
- Journal Volume: 71:19; Journal ID: ISSN 0031-9007

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 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-)

### Citation Formats

```
Akemi, K., Fujisaki, M., Okuda, M., Tago, Y., de Forcrand, P., Hashimoto, T., Hioki, S., Miyamura, O., Takaishi, T., Nakamura, A., Stamatescu, I.O., and QCDTARO Collaboration).
```*Scaling study of pure gauge lattice QCD by Monte Carlo renormalization group method*. United States: N. p., 1993.
Web. doi:10.1103/PhysRevLett.71.3063.

```
Akemi, K., Fujisaki, M., Okuda, M., Tago, Y., de Forcrand, P., Hashimoto, T., Hioki, S., Miyamura, O., Takaishi, T., Nakamura, A., Stamatescu, I.O., & QCDTARO Collaboration).
```*Scaling study of pure gauge lattice QCD by Monte Carlo renormalization group method*. United States. doi:10.1103/PhysRevLett.71.3063.

```
Akemi, K., Fujisaki, M., Okuda, M., Tago, Y., de Forcrand, P., Hashimoto, T., Hioki, S., Miyamura, O., Takaishi, T., Nakamura, A., Stamatescu, I.O., and QCDTARO Collaboration). Mon .
"Scaling study of pure gauge lattice QCD by Monte Carlo renormalization group method". United States. doi:10.1103/PhysRevLett.71.3063.
```

```
@article{osti_5727353,
```

title = {Scaling study of pure gauge lattice QCD by Monte Carlo renormalization group method},

author = {Akemi, K. and Fujisaki, M. and Okuda, M. and Tago, Y. and de Forcrand, P. and Hashimoto, T. and Hioki, S. and Miyamura, O. and Takaishi, T. and Nakamura, A. and Stamatescu, I.O. and QCDTARO Collaboration)},

abstractNote = {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].},

doi = {10.1103/PhysRevLett.71.3063},

journal = {Physical Review Letters; (United States)},

issn = {0031-9007},

number = ,

volume = 71:19,

place = {United States},

year = {1993},

month = {11}

}