A General Relativistic Model for Confinement in SU(2) Yang-Mills Theory

TL;DR

This paper introduces a novel model for confinement in SU(2) Yang-Mills theory inspired by general relativity, demonstrating that test particles are confined within a gauge field horizon and form composite fermions.

Contribution

It proposes a new confinement mechanism based on Schwarzschild-like solutions in Yang-Mills theory, linking gravitational analogies to gauge confinement phenomena.

Findings

Test particles are confined inside the gauge field horizon.

The system exhibits composite fermion behavior without fundamental fermions.

The model provides a new perspective on confinement mechanisms in gauge theories.

Abstract

In this paper we present a model of confinement based on an analogy with the confinement mechanism of the Schwarzschild solution of general relativity. Using recently discovered exact, Schwarzschild-like solutions of the SU(2) Yang-Mills-Higgs equations we study the behaviour of a scalar, SU(2) charged test particle placed in the gauge fields of this solution. We find that this test particle is indeed confined inside the color event horizon of our solution. Additionally it is found that this system is a composite fermion even though there are no fundamental fermions in the original Lagrangian.