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

Zheng Xite; Chen Hong; Lu Zao; He Yuan

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

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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]	JIA Duojie . Abelian-Higgs phase of SU(2) QCD and glueball energy. Chinese Physics C, 2008, 32(7): 509-514. doi: 10.1088/1674-1137/32/7/001
[2]	LIU Jin-Ming , LI Jie-Ming , GUO Shuo-Hong . Glueball Mass in Improved SU(3) Lattice Hamiltonian in 2+1 Dimensional. Chinese Physics C, 2001, 25(5): 383-387.
[3]	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.
[4]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[5]	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.
[6]	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.
[7]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[8]	Zheng Xite , Liu Beishu . Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature. Chinese Physics C, 1990, 14(S4): 367-375.
[9]	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.
[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 , LIU Bei-Shu . CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL. Chinese Physics C, 1990, 14(1): 36-41.
[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]	SA Bei-Hao , ZHU Zheng-Kun , ZHANG Xiao-Ze , JIN Xing-Nan . THE EVIDENCE OF DECONFINEMENT PHASE TRANSITION OF SU(2) LATTICE GAUGE MODEL BY MONTE CARLO METHOD. Chinese Physics C, 1988, 12(5): 601-607.
[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]	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.
[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]	WU Ji-Min , ZHAO Pei-Ying . THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION. Chinese Physics C, 1986, 10(3): 297-307.
[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.

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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

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

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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.