String Nature of Confinement in (Non-)Abelian Gauge Theories

TL;DR

This paper reviews recent advances in understanding confinement in non-Abelian and Abelian gauge theories through their string representations, highlighting analytical methods and nonperturbative vacuum properties.

Contribution

It provides a comprehensive review of the derivation of string representations for various gauge theories, emphasizing the Method of Field Correlators and its role in analytically describing confinement.

Findings

Analytical description of confinement in gauge theories.

Evaluation of field correlators in Abelian models.

Discussion of nonperturbative vacuum properties.

Abstract

Recent progress achieved in the solution of the problem of confinement in various (non-)Abelian gauge theories by virtue of a derivation of their string representation is reviewed. The theories under study include QCD within the so-called Method of Field Correlators, QCD-inspired Abelian-projected theories, and compact QED in three and four space-time dimensions. Various nonperturbative properties of the vacua of the above mentioned theories are discussed. The relevance of the Method of Field Correlators to the study of confinement in Abelian models, allowing for an analytical description of this phenomenon, is illustrated by an evaluation of field correlators in these models.