Fermion bound states from Yukawa coupling with periodic bosonic background

TL;DR

This paper investigates how Yukawa coupling with a periodic bosonic background creates multiple fermion bound states, leading to degenerate energy levels within the fermionic gap, which could have significant implications.

Contribution

It demonstrates that Yukawa coupling induces multiple bound states and degeneracies in the fermionic spectrum within a periodic background, a novel insight.

Findings

Multiple bound states form due to Yukawa coupling.

Degenerate energy states appear inside the fermionic gap.

Bound states cluster around specific energies as coupling increases.

Abstract

The Yukawa coupling of fermions with a periodic bosonic background is shown to give rise to several bound states to the fermionic spectrum, with some bound states gluing together around specific energy eingenvalues as the Yukawa coupling increases. This effect induces the presence of degenerate energy states inside the fermionic gap and may be of current interest.