The Effective electromagnetic interaction in a dense fermionic medium in QED_{2+1}

TL;DR

This paper derives an effective electromagnetic Lagrangian in a dense fermionic medium in QED_{2+1} and explores how external magnetic fields can lead to metastable electron bound states.

Contribution

It introduces a new effective Lagrangian for electromagnetic interactions in a dense medium and demonstrates the potential for metastable electron bound states under magnetic fields.

Findings

Metastable electron bound states can form in the medium with an external magnetic field.

Derived an effective Lagrangian applicable to dense fermionic media in QED_{2+1}.

Showed the influence of magnetic fields on fermion interactions.

Abstract

The effective Lagrangian of arbitrary varying in space electromagnetic field in a dense medium is derived. It has been used for investigation of interaction between charged fermions in the medium. It is shown the possibility for the formation of metastable electron bound states in the medium when external magnetic field is applied.