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

Liu Jinming; 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(S1) : 45-52

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

Liu Jinming ,
Gong Di

Department of Physics, Zhongshan University, Guangzhou, China

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Abstract：
The phase structure of 3-dimensional SU/(2) lattice gauge theory is studied by 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.

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[4]	Zhao Peiying , Wu Jimin . Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(S1): 47-54.
[5]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[6]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[7]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[8]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[9]	Zheng Weihong , Guo Shuohong . Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT. Chinese Physics C, 1989, 13(S1): 33-36.
[10]	Li Zhibing , Zheng Weihong , Guo Shuohong . The String Tensions of (2+1)-dimensional SU(2) Gauge Theory. Chinese Physics C, 1989, 13(S3): 245-248.
[11]	Chen Qizhou , Liu Jinming , Xue Xun , Zheng Weihong , Guo Shuohong . The Mean-plaquette Internal Energy for SU(3) Gauge Theory in Cumulant Expansion. Chinese Physics C, 1989, 13(S4): 371-378.
[12]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[13]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[14]	LI Wen-Zhu , ZHANG Jian-Bo . VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1988, 12(5): 608-615.
[15]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[16]	Liu Jinming , Zheng Weihong , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S2): 137-142.
[17]	CHEN Tian-Lun , SUO Cun-Chuan . VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THE SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[18]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[19]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[20]	CHEN Tian-Lun , Zhou Hong-Mo , LI Tie-Zong , XIAN Ding-Chang , ZHENG Xi-Te . VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.

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Liu Jinming and Gong Di. Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action[J]. Chinese Physics C, 1993, 17(S1): 45-52.

Liu Jinming and Gong Di. Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action[J]. Chinese Physics C, 1993, 17(S1): 45-52. shu

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Received: 1991-10-04

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Supported in part by the National Natural Science Foundation of China and the Foundation of Zhongshan University Advanced Center.

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Liu Jinming
Gong Di

Department of Physics, Zhongshan University, Guangzhou, China

Received Date: 1991-10-04

Fund Project: Supported in part by the National Natural Science Foundation of China and the Foundation of Zhongshan University Advanced Center.

Abstract: The phase structure of 3-dimensional SU/(2) lattice gauge theory is studied by 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.