Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature

Zheng Xite; Liu Beishu

Chinese Physics C> 1990, Vol. 14> Issue(S4) : 367-375

Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature

Zheng Xite ,
Liu Beishu

Chengdu University of Science and Technology, Chengdu, Sichuan, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The variational cumulant expansion treatment of lattice gauge theory at finite temperature is developed to the lattice SU/(2)-Higgs system with the Higgs fields in the fundamental representation. The method is demonstrated by calculating the expectation value of Polyakov line <L> to the 3rd order approximation. The result is in agreement with the Monte Carlo simulation result. The comparison with the mean field results is given.

[1]	WANG Rui , CHEN Ying , GONG Ming , LIU Chuan , LIU Yu-Bin , LIU Zhao-Feng , MA Jian-Ping , MENG Xiang-Fei , ZHANG Jian-Bo . Phase transition in finite density and temperature lattice QCD. Chinese Physics C, 2015, 39(6): 063103. doi: 10.1088/1674-1137/39/6/063103
[2]	Ren Xuezao , Zhu Yunlun , Chen Ying . Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action. Chinese Physics C, 1998, 22(6): 492-498.
[3]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[4]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[5]	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.
[6]	Zheng Xite , Chen Hong , Lu Zhao , He Yuan . Analytical Calculation for the Fixed Length Lattice SU/(2)-Higgs Model. Chinese Physics C, 1995, 19(S1): 69-75.
[7]	Liu Jinming , Gong Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(S1): 45-52.
[8]	Shen Kun , Qiu Zhongping . Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(S3): 261-270.
[9]	Zheng Xite , Lei Chunhong , Li Yuliang , Chen Hong . Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(S3): 271-276.
[10]	ZHENG Xi-Te , LIU Bei-Shu . CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL. Chinese Physics C, 1990, 14(1): 36-41.
[11]	Zheng Xite , Liu Beishu . Calculation of a Fixed Length Fundamental SU(2) Higgs Model. Chinese Physics C, 1990, 14(S1): 45-52.
[12]	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.
[13]	Bi Pinzhen . Kaon Condensation at Finite Temperature. Chinese Physics C, 1989, 13(S1): 49-52.
[14]	Chen Tianlun , Huang Wuqun , Jin Ke , Suo Cunchuan . β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S1): 43-48.
[15]	Liu Jinming , Zheng Weihong , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S2): 137-142.
[16]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[17]	WANG Jie , YAN Zu-Guo , ZHENG Xi-Te . ANALYTICAL STUDY OF U(1)-HIGGS SYSTEM ON A LATTICE. Chinese Physics C, 1988, 12(3): 329-335.
[18]	Wang Jie , Tan Zuguo , Zheng Xite . Analytical Study of U(1)-Higgs System On a Lattice. Chinese Physics C, 1988, 12(S3): 237-244.
[19]	LI Wen-Zhu , YING He-Ping , DONG Shao-Jing . MONTE CARLO SIMULATION OF SU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE. Chinese Physics C, 1987, 11(2): 186-191.
[20]	WU DAN-DI , LI TIE-ZHONG . HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODEL SU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.

Access

Get Citation

Zheng Xite and Liu Beishu. Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature[J]. Chinese Physics C, 1990, 14(S4): 367-375.

Zheng Xite and Liu Beishu. Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature[J]. Chinese Physics C, 1990, 14(S4): 367-375. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1990-03-31

Fund

Supported by the National Natural Science Foundation of China.

Article Metric

Article Views(334)
PDF Downloads(3)
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

Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature

Zheng Xite
Liu Beishu

Chengdu University of Science and Technology, Chengdu, Sichuan, China

Received Date: 1990-03-31

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: The variational cumulant expansion treatment of lattice gauge theory at finite temperature is developed to the lattice SU/(2)-Higgs system with the Higgs fields in the fundamental representation. The method is demonstrated by calculating the expectation value of Polyakov line <L> to the 3rd order approximation. The result is in agreement with the Monte Carlo simulation result. The comparison with the mean field results is given.