Bosonization in arbitrary dimensions

TL;DR

This paper demonstrates a method to bosonize interacting electron systems in any dimension using functional integration, revealing localized structures similar to stripe phases in cuprates.

Contribution

It introduces a novel bosonization approach applicable in arbitrary dimensions via functional integration and Gaussian integrals.

Findings

Electrons can be bosonized in any dimension using electrostatic potential.

The bosonic system exhibits localized structures akin to stripe phases.

Method provides new insights into electron interactions in higher dimensions.

Abstract

Using methods of functional integration, and performing simple Gaussian integrals, I show that an interacting system of electrons can be bosonized in arbitrary dimensions, in terms of the electrostatic potential which mediates the interaction between them. Working with the bosonic field, the sytem is shown to exhibit localized structures reminiscent of striping in the cuprates.