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We present the study of Kondo effect in an interacting quantum wire. Wemainly emphasis the effect of strong electronic correlations in the study ofrenormalization group flow diagram and the stability analysis of fixed pointsfor both magnetic and nonmagnetic impurities. We observe that the behavior ofthe system is either in the single channel or in the two channel Kondo effectdepending on the initial values of coupling constants and strong correlations.

Effect of strong correlation on the study of renormalization group flow diagram for Kondo effect in a interacting quantum wire