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We discuss the problem of an effective descriptions of the phase transitionphenomena in the pure gluodynamics in SU(2) symmetric QCD. We choose the methodof calculation following the conjecture that the infrared sector of the theorypossesses the same confinement characteristic as the full theory. We show, thatanalytic descriptions of this phenomena is beyond the Gaussian method ofevaluations of functional integrals. We propose a non-perturbative evaluationof functional integral, meanwhile for two dimensional Wiener integral for$\phi^4$ theory.

Study of an Abelinization Transition in SU(2) Gluodynamics at Finite Temperature