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

[1]

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.

[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]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[3]	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.
[4]	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.
[5]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[6]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[7]	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.
[8]	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.
[9]	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.
[10]	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.
[11]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[12]	WU Ji-Min , ZHAO Pei-Ying . THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION. Chinese Physics C, 1986, 10(3): 297-307.
[13]	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.
[14]	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.
[15]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[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.
[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.
[19]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.
[20]	ZENG GAO-JIAN . THE ACTION OF WIGNER OPERATOR OF SU₃ GROUP. Chinese Physics C, 1981, 5(2): 217-226.

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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.