Phase Structure of <i>U</i>(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying; Wu Jimin

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1996, Vol. 20> Issue(S1) : 47-54

Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying ,
Wu Jimin

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing, China

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Abstract：
The plaquette internal energy E_p of U(1) lattice gauge theory (LGT) in three dimensions is calculated using the variational cumulant expansion (VCE) with the independent plaquette effective action. The E_p-β curve is continuous, which shows that the U(l) theory is confined. Our result is consistent with Monte Carlo (MC) data.
- lattice gauge theory ,
- variational cumulant expansion ,
- internal energy ,
- independent plaquette effective action

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[11]	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.
[12]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[13]	WU Ji-Min . ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE. Chinese Physics C, 1989, 13(9): 789-795.
[14]	CHEN Qi-Zhou , LIU Jin-Ming , XUE Xun , ZHENG Wei-Hong , GUO Shuo-Hong . THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION. Chinese Physics C, 1989, 13(10): 900-906.
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[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]	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.
[18]	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.
[19]	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.
[20]	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.

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Zhao Peiying and Wu Jimin. Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action[J]. Chinese Physics C, 1996, 20(S1): 47-54.

Zhao Peiying and Wu Jimin. Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action[J]. Chinese Physics C, 1996, 20(S1): 47-54. shu

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Received: 1995-03-10

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Supported by the National Natural Science Foundation of China and the Science Foundation of the Chinese Academy of Sciences.

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沈阳化工大学材料科学与工程学院沈阳 110142

Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying
Wu Jimin

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing, China

Received Date: 1995-03-10

Fund Project: Supported by the National Natural Science Foundation of China and the Science Foundation of the Chinese Academy of Sciences.

Abstract: The plaquette internal energy E_p of U(1) lattice gauge theory (LGT) in three dimensions is calculated using the variational cumulant expansion (VCE) with the independent plaquette effective action. The E_p-β curve is continuous, which shows that the U(l) theory is confined. Our result is consistent with Monte Carlo (MC) data.