We propose a new
approach for the calculation of the spectrum of excitations of QCD flux tubes.
It relies on the fact that the worldsheet theory is integrable at low energies.
With this approach, energy levels can be calculated for much shorter flux tubes
than was previously possible, allowing for a quantitative comparison with
existing lattice data. The improved theoretical control makes it manifest that
existing lattice data provides strong evidence for a new pseudoscalar particle
localized on the QCD fluxtube - the worldsheet axion.