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2024年10月30日

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

  • 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 βc for the pure SU(2) model is obtained.
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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
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Received: 1900-01-01
Revised: 1900-01-01
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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

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 βc for the pure SU(2) model is obtained.

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