Composite bosons and quasiparticles in a number conserving approach

TL;DR

This paper introduces an extended bosonization method for fermionic systems that conserves particle number and applies to both even and odd systems, including unpaired fermions.

Contribution

It extends a previous bosonization approach to handle odd fermion systems and excitations with unpaired fermions, maintaining all symmetries.

Findings

Method respects all symmetries including fermion number conservation

Applicable to systems with odd numbers of fermions and unpaired excitations

Provides a unified framework for bosonization in diverse fermionic systems

Abstract

I recently proposed a method of bosonization valid for systems of an even number of fermions whose partition function is dominated at low energy by bosonic composites. This method respects all symmetries, in particular fermion number conservation. I extend it to treat odd systems and excitations involving unpaired fermions.