Spectral Functions of Local Operators In The Tomonaga-Luttinger Model

TL;DR

This paper presents a straightforward method for calculating spectral functions of local operators in the Tomonaga-Luttinger model, simplifying the process and providing clearer physical insights into spectral singularities.

Contribution

It introduces a new, simpler prescription for deriving spectral functions from space-time correlations in the Tomonaga-Luttinger model, enhancing interpretability.

Findings

Simplified computation of spectral functions

Clearer physical interpretation of singularities

Applicable to local operators in the model

Abstract

I give a simple general prescription for computing the spectral functions of local operators in the Tomonaga-Luttinger model from the space-time correlation functions. The method is significantly simpler than directly transforming the space-time Greens function and allows a physical interpretation of the singularities encountered in the spectral function.