Abstract
Confinement of electrically charged test particles in the dilute plasma of monopoles and pointlike magnetic dipoles is studied. We calculate the tension of the string emerging between the infinitely separated test particles. The string tension is an increasing function of the dipole density provided other parameters of the plasma are fixed. The relevance of our results to confining gauge theories is discussed.
Highlights
We study the confining properties the plasma of the Abelian magnetic monopoles with a fraction of the magnetic dipoles in three dimensional Euclidean space–time
The long range fields of the magnetic dipoles are weak and they can not induce a non–zero string tension between the electric charges separated by large distances
We have studied the confining properties of the gas of the Abelian magnetic monopoles and the pointlike dipoles
Summary
We study the confining properties the plasma of the Abelian magnetic monopoles with a fraction of the magnetic dipoles in three dimensional Euclidean space–time. This kind of the plasma may appear in gauge theories such as the Georgi–Glashow model which possesses the topologically stable classical solution called the ’t Hooft–Polyakov monopole [1]. The long range fields of the magnetic dipoles are weak and they can not induce a non–zero string tension between the electric charges separated by large distances. Since the formation of the magnetic dipole states is supported by the increase of the temperature we expect to have a mixed plasma of the Abelian monopoles and dipoles at the confining side of the phase transition.
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