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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T. C. Hsien, X. H. He, Y. S. Song, phys. Lett., 153B(1985). 417.[2] 吴济民，赵佩革，高能物理与核物理，10(1986), 297;X. T. Zheng, Z. G. Tan and J. Wang, Nucl.phys., B287 (1987). 171.[3] S . H. Guo, J. M. Liu, Q. Z. Chen, Chinese phys. Lett., 2(1985), 409.S. H. Guo, W. H. Zheng, and J. M. Liu, Chin. phys. Lett . 3(1986). 445.郑维宏，刘金明，郭硕鸿，高能物理与核物理，1(1988)，134.刘金明，郑维宏，郭硕鸿，高能物理与核物理，12(1988),420.S. H. Guo, W. H. Zheng. and J. M. Liu,Phys. Rev., D38 (1988), 2591.[4] R. Brower and M. Nauenberg, Nucl . phys., B180 (1981), 221.R. Brower, P. Rossi and C. I. Tan, Nucl. phys., E190 (1981), 699.K. Eriksson, N. Svartholm and B. Skagerstam, J. Math. phys., 22 (1981), 2276.C. Lang, P. Salomonson and B. Skagerstam, phys. Lett., 100B(1981), 29.何翔皓，李铁忠，冼鼎昌，高能物理与核物理，8(1984),772.[5] 刘金明，官蒂，中山大学学报，单链SU(3)群积分的定积分表示，(待表)[6] M. Creuts, K. J. M. Moriarty, phys. Rev., D26 (1982), 2166.

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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.