Gluodynamics String as a Low-Energy Limit of the Universal Confining String Theory

TL;DR

This paper demonstrates that an effective string theory derived from gluodynamics aligns with the low-energy limit of the Universal Confining String Theory, involving a massive Abelian Kalb-Ramond field and vacuum correlation length.

Contribution

It establishes a connection between gluodynamics effective string theory and the low-energy limit of the Universal Confining String Theory using the Kalb-Ramond field framework.

Findings

Effective string theory matches the low-energy limit of the Universal Confining String Theory.

The mass of the Kalb-Ramond field correlates with the vacuum's inverse correlation length.

Disappearance of the string picture in the massless limit.

Abstract

An effective string theory emerging from the bilocal approximation to the Method of Vacuum Correlators in gluodynamics is shown to be well described by the 4D theory of the massive Abelian Kalb-Ramond field interacting with the string, which is known to be the low-energy limit of the Universal Confining String Theory. The mass of the Kalb-Ramond field in this approach plays the role of the inverse correlation length of the vacuum, and it is shown that in the massless limit string picture disappears. The background field method, known in the theory of nonlinear sigma models, is applied to derivation of the effective action, quadratic in quantum fluctuations around a given (e.g. minimal) string world-sheet.