Bosonization of Interacting Fermions in Arbitrary Dimensions

TL;DR

This review summarizes the development of higher-dimensional bosonization techniques for interacting fermions, focusing on the functional approach established between 1994 and 1996, which remains relevant today.

Contribution

It introduces a functional bosonization method for arbitrary dimensions, extending fermionic theories beyond traditional one-dimensional models.

Findings

Developed a functional bosonization framework for higher dimensions

Provided foundational ideas still relevant in current research

Summarized key techniques in a comprehensive review

Abstract

This review is a summary of my work (partially in collaboration with Kurt Schoenhammer) on higher-dimensional bosonization during the years 1994-1996. It has been published as a book entitled "Bosonization of interacting fermions in arbitrary dimensions" by Springer Verlag (Lecture Notes in Physics m48, Springer, Berlin, 1997). I have NOT revised this review, so that there is no reference to the literature after 1996. However, the basic ideas underlying the functional bosonization approach outlined in this review are still valid today.