Infrared region of QCD and confining strings

TL;DR

This paper proposes a submanifold of su(3) to model infrared QCD configurations, deriving a confining string action that includes Nambu-Goto, extrinsic curvature, and topological terms, illustrating confinement mechanisms.

Contribution

It introduces a specific submanifold of su(3) for infrared QCD and derives a comprehensive confining string action with multiple physical terms.

Findings

Confinement modeled as in the London Meissner effect.

Derived a string action with Nambu-Goto, extrinsic curvature, and Euler characteristic.

Proposed a new framework for infrared QCD configurations.

Abstract

Gauge field configurations appropriate for the infrared region of QCD are proposed in a submanifold of $su(3)$. Some properties of the submanifold are presented. Using the usual action for QCD, in the absense of quarks, confinement of these configurations is realized as in the London theory of Meissner effect. Choosing a representation for the monopole field strength, a string action corresponding to the effective gauge theory action in the infrared region, is obtained. This confining string action contains the Nambu-Goto term, extrinsic curvature action and the Euler characteristic of the string world sheet.