Monopole-like Quantum Excitations in the Non-abelian Vacuum

TL;DR

This paper proposes a novel perspective on monopoles in the non-abelian vacuum, treating them as quantum excitations derived from quantized Yang-Mills equations, and introduces a method to approximate these complex equations.

Contribution

It introduces a new approach to analyze monopoles as quantum solutions of Yang-Mills equations using Heisenberg quantization and provides a procedure to truncate the infinite series of equations.

Findings

Monopoles can be viewed as quantum excitations in the non-abelian vacuum.

The derived equations resemble those describing dyons.

A method to approximate the infinite Green's function equations is proposed.

Abstract

It is offered to consider monopoles in Abelian Projection as quantum excitations which are solutions of the quantized Yang-Mills equations. According to the Heisenberg quantization method these equations are equivalent an infinite set of equations for Green's functions. A procedure for cutting off these infinite series of differential equations after some assumptions is offered. The received equations are identical to equations describing a dyon.