MONTE CARLO STUDY OF <EM>SU</EM>(2) GROUP SPACE DECIMATION EFFECTIVE ACTION

LI Wen-Zhu; ZHANG Jian-Bo; DONG Shao-Jing

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(4) : 462-468

MONTE CARLO STUDY OF SU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION

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Abstract：
We perform Monte Carlo simulation for the SU(2)-Y(120) group space decimation approximate effective action in 4⁴ periodic lattice, find that the effective action system does not have freezing point at β≤9, but the internal energy curve of the system is different from that of SU(2) group with Wilson action. This indicates that although group space decimation method in principle can make discrete subgroup substitute for continuous group available in Monte Carlo simulation, it is not an effective method as to save MC computer time.

References

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M. Creutz, L. Jacobs and C. Rebbi, Phys. Rev. Lett., 42(19?9), 1390; Phys. Rep., 95(1983), 201.[2] G. Bhanot and C. Rcbbi, Nucl Phys, B180(1981), 469; C. B. Lang, C. Rebbi, P. Salomonsan and B. S. Skagerstam,Phys. Lett, 101B(1981), 173.[3] G. Bhanot, C. Rebbi, Phys. Rev., D24(1981), 3319.[4] Li Wen-zhu, Zhang Jian-bo, Dong Shao-jing, to be published.[5] H. Flyvbjerg, Nucl. Phys, B243(1984), 350.[6] R. Kubo, J. Phys. Japan, 17(1962), 1100.

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LI Wen-Zhu, ZHANG Jian-Bo and DONG Shao-Jing. MONTE CARLO STUDY OF SU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION[J]. Chinese Physics C, 1987, 11(4): 462-468.

LI Wen-Zhu, ZHANG Jian-Bo and DONG Shao-Jing. MONTE CARLO STUDY OF SU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION[J]. Chinese Physics C, 1987, 11(4): 462-468. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

MONTE CARLO STUDY OF SU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION

Corresponding author: LI Wen-Zhu,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-08-05

Abstract: We perform Monte Carlo simulation for the SU(2)-Y(120) group space decimation approximate effective action in 4⁴ periodic lattice, find that the effective action system does not have freezing point at β≤9, but the internal energy curve of the system is different from that of SU(2) group with Wilson action. This indicates that although group space decimation method in principle can make discrete subgroup substitute for continuous group available in Monte Carlo simulation, it is not an effective method as to save MC computer time.