The phase diagram for the $(λϕ^{4}+σϕ^{2})_{2}$ model

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The two parameter model is reduced to a one parameter model by using simple transformations. Because the separation between different phase regions for a one parameter model is just a point, the equivalence between the two models leads to the exact equation of the line that separates the broken and un-broken phases in the $(λ,σ)$ plane. Also, we obtain nontrivial estimates on the stability region for this model.
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