SPECTRAL FUNCTIONS OF THE DISORDERED TOMONAGA-LUTTINGER MODEL

Using the functional integral bosonization technique, the spinless Tom onaga-Luttinger model with impurity forward scattering is solved exact ly. Explicit analytical results are given for the one- and two-particl e spectral functions in terms of a convolution integral representation . Sharp structures in the frequency spectra of an ordered system are s moothed out by the disorder. The existence of a charge-density instabi lity is predicted if the critical exponent (gamma CDW) is less than -0 .5. There is no influence of the disorder on the superconducting spect ral function (chi SC).