Yang-Mills Flux Tube in AdS II: Effective String Theory

TL;DR

This paper investigates flux tubes in three-dimensional confining gauge theories within an AdS background, using effective string theory and bootstrap techniques to compute observables up to two loops.

Contribution

It advances the understanding of flux tube dynamics in AdS by applying analytic bootstrap methods and exploring interpolations between different AdS regimes.

Findings

Computed observables up to two-loop order in the large-radius regime.

Used Padé resummation to analyze the transition between large and small AdS radii.

Provided insights into the compatibility of effective string theory with gauge theory in different regimes.

Abstract

We continue the study of flux tubes in confining gauge theories placed in a rigid AdS background, focusing on the three-dimensional case. Our analysis is performed in the large-radius regime, where effective string theory provides a good approximation of the dynamics. Using a combination of techniques, primarily the analytic transcendentality ansatz bootstrap, we compute observables up to two-loop order in the expansion in powers of the string length over the AdS radius, which constitutes the main result of this work. Finally, we employ Pad\'e resummations to explore the possible compatibility of our results with a smooth interpolation of observables between large-radius AdS and small-radius AdS, in which gauge theory is weakly coupled.