Bosonization and Strongly Correlated Systems

TL;DR

This volume offers a comprehensive overview of bosonization techniques and their applications to various strongly correlated one-dimensional quantum systems, including models with impurities and non-Abelian symmetries.

Contribution

It provides a detailed technical account of bosonization and demonstrates its application to realistic models of strongly correlated systems.

Findings

Bosonization techniques effectively analyze one-dimensional fermionic systems.

Application to models like Tomonaga-Luttinger liquids and spin chains shows their utility.

Addresses quantum impurity problems using bosonization methods.

Abstract

This volume provides a detailed account of bosonization. The first part of the book examines the technical aspects of bosonization including one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories, Bose-Einstein condensation in two dimensions, non-Abelian bosonization, and the Ising and WZNW models. The second part presents applications of the bosonization technique to realistic models including the Tomonaga-Luttinger liquid, spin liquids in one dimension and the spin-1/2 Heisenberg chain with alternative exchange. The third part addresses the problems of quantum impurities. Chapters cover potential scattering, the X-ray edge problem, impurities in Tomonaga-Luttinger liquids and the multi-channel Kondo problem.