CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL

ZHENG Xi-Te; LIU Bei-Shu

Chinese Physics C> 1990, Vol. 14> Issue(1) : 36-41

CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL

ZHENG Xi-Te ^, ,
LIU Bei-Shu

Department of Physics,Chengdu University of Science and Technology

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Abstract：
The phase diagram of the lattice system of SU(2) gauge field coupled with the fixed length Higgs field in fundamental representation has been calculated by the variational-cumulant expansion method to the third order approximation.The method of determining the variational parameter has been improved by using the free energy to the second order approximation.Thus calculated phase diagram is in good agreement with the Monte Carlo estimation and the order of the phase transition is clearly determined in the third order approximation.

References

[1]

K.Osterwalder and E. Seiler, Ann. Phys. (N. Y.), 110(1978), 440.E.Fradkin and S. H. Shenker, Phys. Rev., D19(1979), 3682.[2] C.B. Lang, C. Rebbi and M. Virasoro, Phys. Lett:., 104B(1981), 294[3] H.Kuhnelt,C. B. Lang and G. Vones, Nucl, Phys., B230[FS10] (1984), 16.[4] M Tomiya and T.Hattori, Phys. Lett., 140B(1984), 370.[5] 1. montavay,Phys.Lett., 150B(1985), 441.[6] 郑希特，成都科技大学校庆份周年论文选集,(1984),440,[7] X. T. Zheng, J. Wang and Z. G. Tan, Mod, Phys Lett., A2(1987), 199[8] X. T. Zheng, Z. G. Tan and J. Wang, Nucl, Phys.,B287(1987), 171.[9] W.Kerler and L. Schulke Phys. Lett., ,201B(1988), 123.[10] X.T. Zheng, C-I Tan and T.L. Chen, Phys. Rev, D26(1982), 2843.[11] S.Coleman and E. Weinberg,Phys. ReV., D7(1973), 1888.

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ZHENG Xi-Te and LIU Bei-Shu. CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL[J]. Chinese Physics C, 1990, 14(1): 36-41.

ZHENG Xi-Te and LIU Bei-Shu. CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL[J]. Chinese Physics C, 1990, 14(1): 36-41. shu

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

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CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL

ZHENG Xi-Te ^,
LIU Bei-Shu

Corresponding author: ZHENG Xi-Te,

Department of Physics,Chengdu University of Science and Technology

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-01-05

Abstract: The phase diagram of the lattice system of SU(2) gauge field coupled with the fixed length Higgs field in fundamental representation has been calculated by the variational-cumulant expansion method to the third order approximation.The method of determining the variational parameter has been improved by using the free energy to the second order approximation.Thus calculated phase diagram is in good agreement with the Monte Carlo estimation and the order of the phase transition is clearly determined in the third order approximation.