The gauge unparticles (“ungluons”)

Abstract

A field model for a quark and an antiquark binding is described. Quarks interact via a gauge unparticle ("ungluons"). The model is formulated in terms of Lagrangian which features the source field $S(x)$ which becomes a local pseudo-Goldstone field of conformal symmetry - the pseudodilaton mode and from which the gauge non-primary unparticle field is derived by $B_{\mu}(x) \sim\partial_{\mu} S(x)$. Because the conformal sector is strongly coupled, the mode $S(x)$ may be one of new states accessible at high energies. We have carried out an analysis of the important quantity that enters in the "ungluon" exchange pattern - the "ungluon" propagator.