Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model

Zheng Xite; Chen Hong; Lu Zao; He Yuan

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> 1995, Vol. 19> Issue(2) : 137-142

Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model

Department of Physics,Chengdu University of Science and Technology,Chengdu 610065

Abstract
HTML
Reference
Related

PDF

Abstract：
The phase diagram of the lattice system of the SU(2) gauge field coupled with the fixed length Higgs field in the fundamental representation has been calculated analytically to the fourth order of the cumulant expansion.The variational parameters have been determined by the scanning method.The obtained phase diagram is in fine agreement with the Monte Carlo result.The calculation also has been made for the Polyakov lineof the SU(2)-Higgs and the pure SU(2) models at finite temperature(Nτ=1).The best up to now approximate analytical result β_c for the pure SU(2) model is obtained.

References

[1]

K.Osterwalder,E.Seiler,Ann.Phys.（N.Y.）,110（1978）400.E.Fradkin,S.H.Shenker,Phys.Rev.,D19（1979）.3682.[2]C.B.Lang,C.Rebbi,M.Virasoro,Phys.Lett,104B（1981）294.[3]H.Kuhnelt,C.B.Lang,C.Vones,Nucl.Phys.,B230[FS10]（1984）16.[4]M.TomiyaT.Hattori,Phys.Lett.,140B（1984）370.I.Montavay,Phys.Lett.,150B（1985）441.[5]郑希特、刘备书，高能物理与核物理，14（1990）36.[6]X.T.Zheng,C.-ITan,T.L.Chen,Phys.Rev.,D26（1982）2843.[7]W.Kerler,Phys.Rev.Lett.,60（1988）1906.L.Schulke,Phys.Lett.,B208（1988）495;W.Ke.rler,T.Metz,Phys.Rev.,D44（1991）1263.[8]X.T.Zheng,Y.L.Li,C.H.Lei.Chinese Phys.Lett,9（1992）573.[9]X.T.Zheng,Z.G.Tan,J.Wang,Nucl.Phys.,B287（1987）171.[10]郑希特、刘备书，高能物理与核物理，14（1990）892.[11]P.H.Damgaad,U.M.Heller,Nucl.Phys.,B294（1987）253.F.Green,F.Karsch,Nucl.Phys.,B238（1984）297.[12]M.Ogilvie,Phys.Rev.Lett,52（1984）1369.[13]F.Green,Nucl.Phys.,B215[FS7]（1983）83.[14]L.Mclerran,B.Svetitsky,Phys.Lett.,98B（1981）195;Phys.Rev.,D24（1981）450.[15]郑希特，成都科技大学校庆卅周年论文选集（1984）449.

[1]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[2]	HUI Ping , ZHENG Tai-Yu , WANG Zhou-Fei . Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method. Chinese Physics C, 2004, 28(6): 580-583.
[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]	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.
[5]	Ren Xuezao , Chen Ying , Zhu Yunlun . Analytical Study of Lattice U(1) Gauge-Higgs ModelsWith Fixed Modulus. Chinese Physics C, 1998, 22(4): 315-321.
[6]	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.
[7]	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.
[8]	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.
[9]	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.
[10]	Huang Liangxin , Li Hong , Chen Tianlun . Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
[11]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[12]	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.
[13]	Zheng Xite , Liu Beishu . Calculation of a Fixed Length Fundamental SU(2) Higgs Model. Chinese Physics C, 1990, 14(S1): 45-52.
[14]	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.
[15]	ZHENG Xi-Te , LIU Bei-Shu . CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL. Chinese Physics C, 1990, 14(1): 36-41.
[16]	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.
[17]	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.
[18]	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.
[19]	NI GUANG-JIONG , SU RU-KENG , CHEN SU-QING . BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL. Chinese Physics C, 1981, 5(4): 429-440.
[20]	MA ZHONG-QI , DONG FANG-XIAO , YUE ZONG-WU , ZHOU XIAN-JIAN , XUE PEI-YOU . DISCUSSION OF A SU(2)×U(1)×S₃ MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS. Chinese Physics C, 1981, 5(3): 298-306.

Access

Get Citation

Zheng Xite, Chen Hong, Lu Zao and He Yuan. Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model[J]. Chinese Physics C, 1995, 19(2): 137-142.

Zheng Xite, Chen Hong, Lu Zao and He Yuan. Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model[J]. Chinese Physics C, 1995, 19(2): 137-142. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4008)
PDF Downloads(504)
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 Calculation of the Fixed Length Lattice SU(2)-Higgs Model

Corresponding author: Zheng Xite,

Department of Physics,Chengdu University of Science and Technology,Chengdu 610065

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-02-05

Abstract: The phase diagram of the lattice system of the SU(2) gauge field coupled with the fixed length Higgs field in the fundamental representation has been calculated analytically to the fourth order of the cumulant expansion.The variational parameters have been determined by the scanning method.The obtained phase diagram is in fine agreement with the Monte Carlo result.The calculation also has been made for the Polyakov lineof the SU(2)-Higgs and the pure SU(2) models at finite temperature(Nτ=1).The best up to now approximate analytical result β_c for the pure SU(2) model is obtained.