Dual EFT Bootstrap: QCD flux tubes

TL;DR

This paper introduces a bootstrap method leveraging duality in optimization to derive bounds on EFTs for confining flux tubes, providing new constraints on scattering amplitudes and Wilson coefficients.

Contribution

It presents a novel bootstrap approach based on duality in optimization theory applied to EFTs of flux tubes, offering a new way to constrain their parameters.

Findings

Derived optimal bounds on flux tube scattering amplitudes

Established bounds on EFT Wilson coefficients

Compared bootstrap bounds with EFT positivity bounds

Abstract

We develop a bootstrap approach to Effective Field Theories (EFTs) based on the concept of duality in optimisation theory. As a first application, we consider the fascinating set of EFTs for confining flux tubes. The outcome of our analysis are optimal bounds on the scattering amplitude of Goldstone excitations of the flux tube, which in turn translate into bounds on the Wilson coefficients of the EFT action. Finally, we comment on how our approach compares to EFT positivity bounds.