SPECTRAL SUM-RULES FOR THE TOMONAGA-LUTTINGER MODEL

[摘要] In connection with recent publications we discuss spectral sum rules for the Tomonaga-Luttinger model without using the explicit result for the one-electron Green's function. They are useful in the interpretation of recent high-resolution photoemission spectra of quasi-one-dimensional conductors. It is shown that the limit of infinite frequency and band cutoff do not commute. Our result for arbitrary shape of the interaction potential generalizes an earlier discussion by Suzumura. A general analytical expression for the spectral function for wave vectors far from the Fermi wave vector k(F) is presented. Numerical spectra are shown to illustrate the sum rules.