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

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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[3]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[4]	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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[17]	ZHANG QI-REN , XIE SHU-QIN . BARYONIUM AND THE HIGH DIMENSIONAL REPRESENTATIONS OF SU(3). Chinese Physics C, 1982, 6(6): 732-736.
[18]	ZENG GAO-JIAN . THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP. Chinese Physics C, 1981, 5(1): 82-91.
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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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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.