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Abstract
The problem of a single impurity in a one-dimensional Tomonaga—Luttinger liquid with a repulsive electron-electron interaction is discussed. We find that the renormalization group flow diagram for the parameters characterizing the impurity is rather complex. Apart from the fixed points corresponding to two weakly connected semi-infinite wires, the flow diagram contains additional fixed points which control the low-temperature physics when the bare potential of the impurity is not strong.