On the Stability and Single-Particle Properties of Bosonized Fermi Liquids

TL;DR

This paper investigates the stability and single-particle characteristics of Fermi liquids in higher dimensions using bosonization, confirming known quasi-particle behaviors and clarifying the absence of spin-charge separation in regular interactions.

Contribution

It provides a detailed bosonization analysis of Fermi liquids in dimensions greater than one, including RG flows, collective modes, and the impact of singular interactions.

Findings

Reproduces known quasi-particle lifetime results.

Shows spin-charge separation does not occur with regular interactions.

Derives equations for spin and charge collective modes.

Abstract

We study the stability and single-particle properties of Fermi liquids in spatial dimensions greater than one via bosonization. For smooth non-singular Fermi liquid interactions we obtain Shankar's renormalization- group flows and reproduce well known results for quasi-particle lifetimes. We demonstrate by explicit calculation that spin-charge separation does not occur when the Fermi liquid interactions are regular. We also explore the relationship between quantized bosonic excitations and zero sound modes and present a concise derivation of both the spin and the charge collective mode equations. Finally we discuss some aspects of singular Fermi liquid interactions.