Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action

LIU Jin-Ming; GONG Di

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(2) : 128-133

Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action

LIU Jin-Ming ^, ,
GONG Di

Zhongshan University Guangzhou 510275

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Abstract：
The phase structure of 3-dimensional SU(2) lattice gauge theory is studied using variational method with an independent plaquette trial action.The mean-plaquette internal energy E_P～β curve is smooth,which shows only one confining phase,and is better than that given by independent link trial action.

References

[1]

K. Wilson, Phys. Rev.,D10(1974), 2445.[2]M. Creutz, Phys. Rev. Lett., 43(1979), 553; 45(1980), 313; Phys. Rev D21(1980), 2308.[3]R. Balian, J. Drouffe, C. ltzykaon, Phys. Rev., D10(1974), 3376; Dll(1975), 2089, 2104.[4]E. Brezin, J. Drouffe, Nucl. Phys., B200(1982), 93.[5]Zheng Xi-ti, Chung-I Tan, Chen Tian-lun, Phys. Rev., D26(1982), 2843.[6]T. C. Hsien, X. H. He, Y. S. Song, Phys. Lett., 153B1985), 417.[7]X. T. Zheng, T. L. Chen, D. C. Xian, Phys. Lett., 154B(1985), 166.[8]X. T. Zheng, Z. G. Tan, J. Wang, Nucl. Phys., B287(1987), 171.[9]吴济民,赵佩英,高能物理与核物理,10(1986),297,[10]Guo Shuohong, Zheng Weihong, Liu Jinming,Phys. Rev., D38(1988), 2591[11]G.Batrouni, Nucl. Phys., B208(1932), 467

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LIU Jin-Ming and GONG Di. Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action[J]. Chinese Physics C, 1993, 17(2): 128-133.

LIU Jin-Ming and GONG Di. Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action[J]. Chinese Physics C, 1993, 17(2): 128-133. shu

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

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Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action

LIU Jin-Ming ^,
GONG Di

Corresponding author: LIU Jin-Ming,

Zhongshan University Guangzhou 510275

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-02-05

Abstract: The phase structure of 3-dimensional SU(2) lattice gauge theory is studied using variational method with an independent plaquette trial action.The mean-plaquette internal energy E_P～β curve is smooth,which shows only one confining phase,and is better than that given by independent link trial action.