THE ANALYTIC RESULTS FOR U1 AND SU2 AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION

WU Ji-Min; ZHAO Pei-Ying

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2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(3) : 297-307

THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION

WU Ji-Min ^, ,
ZHAO Pei-Ying

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Abstract：
In the lattice gauge theory, by using cumulant expansion, we calculate the average plaquette for U₁ and SU₂ group up to the third order approximation in 4 and 5 dimensions analytically. Our results are consistent with MC data. We also discuss the application of cumulant expansion techneque in lattice theory.

References

[1]

K. Wilson, Phys. Rev., D10(1974), 2445.[2] 例如可见:M. Creutz, Rev. Mod. Phys., 50 (1978), 561; J. B. Kogut, Rev. Mod. Phys., 51(1979),659; J. M. Drouffe, C. Itzykson, Phys. Reports, 38(1978), 133; J. B. Kogut, Rev. Mod. Phys., 55(1983), 775; M. Creutz, Phys. Reports, 95(1983), 202; P. Hasenfratz CERN-TH-3737 (1983).[3] 例如可见:J. M. Drouffe, J: B. Zuber, Phys. Reports, 102(1983), 1;以及所引用的文献J. M. AI-berry, H. Flyvbjerg, B. Lautrup, Nucl. Phys., B220 (1983), 61; V. Alessandrini et al., Nucl. Phys.,B215(1983), 109; V. Alessandrini et al., Nucl. Phys. B225(1983), 303; E. Dagotto, Phys. Rev.,D30(1984), 1276; Phys. Lett. 136B(1984), 60.[4] S. Drell et al., Phys. Rev., D19(1979), 619; D. Boyanovsky et al., Phys. Rev., D22(1980), 3034;D. Horn, M. Weinstein, Phys. Rev., D25(1982), 3331; N. Hari, Dass et al., Nucl. Phys. B205(1982), 414; E. Dagotto, M. Moreo, Phys. Rev., D29 (1984), 300.[5] T. C. Hsien, X. H. He, Y. S. Song, Phys. Lett., 153B (1985), 417.[6] 吴济民、赵佩英, 将发表在 Comm. in Theor. Phys.[7] R. Brower, P. Rossi, Chung-I Tan, Nucl. Phys., B190(1981), 699.[8] M. Creutz, Phys. Rev. Lett., 43 (1979), 553; G. Bhanot, M. Creutz, Phys. Rev., D21(1980), 2892.[9] 吴济民, 赵佩英, 将发表在Comm. in Theor. Phys.

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[19]	YANG ZE-SEN , TSE-SEN YANG . THE SU₂×SU₂BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEMS AND THE TRACELESS BOSON OPERATORS (Ⅰ). Chinese Physics C, 1982, 6(5): 630-641.
[20]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.

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WU Ji-Min and ZHAO Pei-Ying. THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION[J]. Chinese Physics C, 1986, 10(3): 297-307.

WU Ji-Min and ZHAO Pei-Ying. THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION[J]. Chinese Physics C, 1986, 10(3): 297-307. shu

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

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THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION

WU Ji-Min ^,
ZHAO Pei-Ying

Corresponding author: WU Ji-Min,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-06-05

Abstract: In the lattice gauge theory, by using cumulant expansion, we calculate the average plaquette for U₁ and SU₂ group up to the third order approximation in 4 and 5 dimensions analytically. Our results are consistent with MC data. We also discuss the application of cumulant expansion techneque in lattice theory.