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Abstract:
The phase diagram of the system of SU(2) gauge field coupled with the fixed length Higgs field in the fundamental representation has been calculated analytically on the lattice by the variational-cumulant expansion method to the third order approximation. The method for determining the variational parameters has been improved by using the expression of the free energy to the second order approximation. Thus the 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.
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