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In this Comment, we show that the paper by Qi Li, D. Belitz and J. Toner,published in Phys. Rev. B {\bf 79}, 054514 (2009), contains an incompletemean-field analysis of a simple model of Ginzburg-Landau type. The lattercontains a stable non-unitary phase, which has not been found in this study andis missing in the outlined picture of possible stable phases. In this Comment,the mean field analysis has been corrected, the errors have been explained indetails and relevant topics have been discussed. Shortcomings in themean-field-like and renormalization group studies in the mentioned paper havealso been revealed.

Comment on "Fluctuation-induced first-order transition p-wave superconductors" by Qi Li, D. Belitz, and J. Toner [Phys. Rev. B79, 054514 (2009)]