Monopole-like Excitations as a Source of Confinement in the SU(2)-Gluodynamics

TL;DR

This paper formulates a dual Abelian effective theory of SU(2)-gluodynamics highlighting monopole-like excitations, which lead to confinement through a string representation and a massive dual gauge boson.

Contribution

It introduces a continuum dual theory with monopole-like excitations derived via Abelian projection, demonstrating confinement mechanisms in SU(2)-gluodynamics.

Findings

Monopole-like excitations induce a massive dual gauge boson.

Effective potential and string representation of monopole loops are constructed.

Confinement properties are demonstrated through the string model.

Abstract

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics with manifest monopole-like excitations, arising from the integration over singular gauge transformations, is formulated in the continuum limit. The resulting effective theory emerges due to the summation over the grand canonical ensemble of these excitations in the dilute gas approximation. As a result, the dual Abelian gauge boson acquires a nonvanishing (magnetic) mass due to the Debye screening effects in such a gas. The obtained theory is then used for the construction of the corresponding effective potential of monopole loop currents and the string representation. Finally, by virtue of this representation, confining properties of the SU(2)-gluodynamics are emphasized.