Curvature expansion for the background-induced gluodynamics string

TL;DR

This paper derives an effective gluodynamics string action using cumulant expansion, incorporating the Nambu-Goto and rigidity terms, with calculated coupling constants and higher derivative corrections.

Contribution

It introduces a systematic curvature expansion for the gluodynamics string action based on vacuum correlators, including explicit calculations of coupling constants.

Findings

The action includes Nambu-Goto and rigidity terms.

Coupling constants are computed from gluonic field correlators.

Higher derivative corrections are explicitly calculated.

Abstract

Using cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the lowest orders it contains the Nambu-Goto term and the rigidity term with the coupling constants computed from the bilocal correlator of gluonic fields. Some higher derivative corrections are calculated.