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The phase structure and the infrared behaviour of the Euclidean 3-dimensional$O(2)$ symmetric ghost scalar field $\phi$ has been investigated in Wegner andHoughton's renormalization group framework, including higher-derivatives in thekinetic term. It is pointed out that higher-derivative coupling provides threephases and leads to a triple point in that RG scheme. The types of the phasetransitions have also been identified.

Triple point in the $O(2)$ ghost model with higher-order gradient term