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We have studied low-temperature properties of interacting electrons in aone-dimensional quantum wire (Luttinger liquid) side-hybridized with asingle-level impurity. The hybridization induces a back-scattering of electronsin the wire which strongly affects its low energy properties. Using a one-looprenormalization group approach valid for a weak electron-electron interaction,we have calculated a transmission coefficient through the wire,$\mathcal{T}(\varepsilon)$, and a local density of states, $\nu(\varepsilon)$at low energies $\varepsilon $. In particular, we have found that theantiresonance in $\mathcal{T}(\varepsilon)$ has a generalized Breit-Wignershape with the effective width $\Gamma(\varepsilon)$ which diverges at theFermi level.

Quantum Wire Hybridized with a Single-Level Impurity