THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION

CHEN Qi-Zhou; LIU Jin-Ming; XUE Xun; ZHENG Wei-Hong; GUO Shuo-Hong

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(10) : 900-906

THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION

Department of Physics,Zhongshan University,Guangzhou

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Abstract：
The cumulant expansion is used to calculate the mean-plaquette internal energy for d-dimensional SU(3) gauge theory.We use the methods of series expansion and steepest descent to calculate SU(3) one-link invariant group integral.These two methods agree accurately with each other.The results show that the cumulant expansion is effective for 3-dimensional lattice gauge theory.

References

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[1]	LIU Jin-Ming , LI Jie-Ming , GUO Shuo-Hong . Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional. Chinese Physics C, 2001, 25(5): 383-387.
[2]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[3]	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.
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[5]	LI Guang-Hua , HE Hui-Yong . Calculating on Wavefunctions of the Ground State Band for the Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1992, 16(3): 278-284.
[6]	WU Hua-Chuan , RONG Zhong-Lin , WANG Zhen . 1/N Expansion Technique and the Non-SU(3) Intrinsic States of the sdg Interacting Boson Model. Chinese Physics C, 1991, 15(3): 256-264.
[7]	CHEN Qi-Zhou , LI Zhi-Bing , LUO Xiang-Qian , DAI Fu-Hua , GUO Shuo-Hong . VACUUM EXPECTATION VALUES OF 6-LINK WILSON LOOP IN SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1990, 14(3): 212-219.
[8]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[9]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT. Chinese Physics C, 1989, 13(6): 512-517.
[10]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[11]	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.
[12]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
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[14]	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.
[15]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[16]	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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CHEN Qi-Zhou, LIU Jin-Ming, XUE Xun, ZHENG Wei-Hong and GUO Shuo-Hong. THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION[J]. Chinese Physics C, 1989, 13(10): 900-906.

CHEN Qi-Zhou, LIU Jin-Ming, XUE Xun, ZHENG Wei-Hong and GUO Shuo-Hong. THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION[J]. Chinese Physics C, 1989, 13(10): 900-906. shu

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

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION

Corresponding author: CHEN Qi-Zhou,

Department of Physics,Zhongshan University,Guangzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-10-05

Abstract: The cumulant expansion is used to calculate the mean-plaquette internal energy for d-dimensional SU(3) gauge theory.We use the methods of series expansion and steepest descent to calculate SU(3) one-link invariant group integral.These two methods agree accurately with each other.The results show that the cumulant expansion is effective for 3-dimensional lattice gauge theory.