Space-time non-commutativity tends to create bound states

TL;DR

This paper investigates how space-time non-commutativity in 1+1 dimensional scalar field models leads to the formation of bound states, including an infinite tower resembling confined quark spectra.

Contribution

It demonstrates that non-commutativity induces new bound states around solitons and generates an infinite spectrum of bound states near singular solutions.

Findings

Non-commutativity creates new bound states around solitons.

An infinite tower of bound states appears near singular solutions.

Spectrum resembles confined quark states.

Abstract

We study the spectrum of fluctuations about static solutions in 1+1 dimensional non-commutative scalar field models. In the case of soliton solutions non-commutativity leads to creation of new bound states. In the case of static singular solutions an infinite tower of bound states is produced whose spectrum has a striking similarity to the spectrum of confined quark states.