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

WU Ji-Min; ZHAO Pei-Ying

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

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

Abstract
HTML
Reference
Related

PDF

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.

[1]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[2]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[3]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[4]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[5]	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.
[6]	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.
[7]	Hui Ping , Chen Qizhou . Fourth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1995, 19(9): 820-825.
[8]	ZHENG Xite , LEI Chunhong , LI Yuliang , CHEN Hong . Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(12): 1076-1080.
[9]	PAN Feng . Vector Coherent State Representations of SU₃ in U₁ U₁ Basis. Chinese Physics C, 1991, 15(1): 80-86.
[10]	PAN Feng . Vector Coherent State Representations of SO₅ SU₂ SU₂ U₁ U₁ and SO₅ U₁ U₁. Chinese Physics C, 1991, 15(2): 178-186.
[11]	ZHENG Xi-Te , LIU Bei-Shu . ANALYTICAL TREATMENT OF SU(2)-HIGGS SYSTEM ON LATTICE AT FINITE TEMPERATURE. Chinese Physics C, 1990, 14(10): 892-899.
[12]	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.
[13]	CHEN Qi-Zhou , LIU Jin-Ming , XUE Xun , ZHENG Wei-Hong , GUO Shuo-Hong . THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION. Chinese Physics C, 1989, 13(10): 900-906.
[14]	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.
[15]	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.
[16]	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.
[17]	YANG Ze-Sen (Tse Sen Yang) . THE SU₂×SU₂ BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEM AND THE TRACELESS BOSON OPERATORS(Ⅲ). Chinese Physics C, 1983, 7(4): 489-499.
[18]	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 (Ⅱ). Chinese Physics C, 1983, 7(2): 245-256.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2199)
PDF Downloads(519)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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.