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Résumé |
We put forward the Axionic String Ansatz (ASA), which provides a unified description for the worldsheet dynamics of confining strings in pure Yang--Mills theory both in $D=3$ and $D=4$ space-time dimensions.
The ASA is motivated by the excitation spectrum of long confining strings, as measured on a lattice, and by recently constructed integrable axionic non-critical string models.
According to the ASA, pure gluodynamics in 3D is described
by a non-critical bosonic string theory without any extra local worldsheet degrees of freedom.
We argue that this assumption fixes the set of quantum numbers (spins, $P$- and $C$-parities) of almost all glueball states.
We confront the resulting predictions with the properties of approximately $1^2+2^2+3^2+5^2=39$ lightest glueball states measured on a lattice and find a good agreement. |
