Chinese Physics C > 1995, Vol. 19 > Issue(12): 1090-1095

Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length

Liu Beishu^,,
Zheng Xite

Department of Applied Physics, Sichuan Union University, Chengdu 610065

Abstract
HTML
Reference
Related

PDF

Abstract：
The order parameter E _p= of the lattice SU(2)-Higgs model in four dimensions is calculated using the cumulant expansion to the fourth order approximation.The Higgs field is in the fundamental representation. An approach for determining two variational parameters is developed. The phase diagram obtained is in a good agreement with the Monte Carlo result.

References

[1]

H.Kuhnelt,C.B.Lang,G.Vones,Nucl.Phys,B230[FS10] （1984）16.[2] S.Gupta,V.M.Heller,Phys.Lett,138B（1984）171;J.Jersak,C.B.Lang,T.Neuhaus et al,Phys.Rev,D32（1985）2761;I.Montvay,Nucl,Phys,B269（1985）170;W.Langguth,I.Montvay,P.Weisz,Nucl.Phys,B277（1986）11;W.Langguth,I.Montvay,Phys.Lett,165B（1985）135[3] V.P.Gerdt,A.S.Ilchev,VK.Miftrjushkin et al,Nucl.Phys,B265[FS15] （1986）145.[4] P.H.Damgaard,U.M.Heller,Phys.Led,164B（1985）121.[5] X.T.Zheng,Z.G.Tan,J.Wang,Nucl Phys,B287（1987）171.[6] X.T.Zheng,B.S.Liu,Int.J.Mod.Phys,A6（1991）103.[7] W.Kerler,Phys.Rev.Lett,60（1988）1906;L.Schulke,Phys Lett.,B208（1988）495.[8] W.Keller,T.Metz,Phys.Rev,D44（1991）1263.[9] X.T.Zheng,C.-ITan,Chihese Phys.Lett.,5（1988）457;Phys.Rev,D39（1989）623.

[1]	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.
[2]	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.
[3]	Hui Ping,Cai Pengfei,Chen Qizhou. Analytic calculation of Glueball Mass In (2+1)-DSU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[4]	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.
[5]	Huang Liangxin,Li Hong,Chen Tianlun. Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
[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]	LIU Jin-Ming,GONG Di. Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[8]	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.
[9]	ZHENG Xi-Te,LIU Bei-Shu. CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL. Chinese Physics C, 1990, 14(1): 36-41.
[10]	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.
[11]	ZHENG Xi-Te,XU Yong. ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[12]	ZHENG Wei-Hong,GUO Shuo-Hong. THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
[13]	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.
[14]	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.
[15]	WU Ji-Min,ZHAO Pei-Ying. ANALYTIC CALCULATION FOR GLUON CONDENSATION INSU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[16]	CHEN Tian-Lun,SUO Cun-Chuan. VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THESU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[17]	HE Xiang-Hao,Xian Ding-Chang. VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THESU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[18]	CHEN Tian-Lun,Zhou Hong-Mo,LI Tie-Zong,XIAN Ding-Chang,ZHENG Xi-Te. VARIATIONAL ANALYSIS OF THESU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.
[19]	WU DAN-DI,LI TIE-ZHONG. HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODELSU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[20]	MA ZHONG-QI,DONG FANG-XIAO,YUE ZONG-WU,ZHOU XIAN-JIAN,XUE PEI-YOU. DISCUSSION OF ASU(2)×U(1)×S₃MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS. Chinese Physics C, 1981, 5(3): 298-306.

Access

Get Citation

Liu Beishu and Zheng Xite. Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length[J]. Chinese Physics C, 1995, 19(12): 1090-1095.

Liu Beishu and Zheng Xite. Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length[J]. Chinese Physics C, 1995, 19(12): 1090-1095. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3647)
PDF Downloads(500)
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 Lattice SU(2)-Higgs Model with Varied Length

Liu Beishu^,
Zheng Xite

Corresponding author:Liu Beishu,

Department of Applied Physics, Sichuan Union University, Chengdu 610065

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1995-12-05

Abstract:The order parameter E_p= of the lattice SU(2)-Higgs model in four dimensions is calculated using the cumulant expansion to the fourth order approximation.The Higgs field is in the fundamental representation. An approach for determining two variational parameters is developed. The phase diagram obtained is in a good agreement with the Monte Carlo result.