Gluons are zero mass elementary point particles in the standard model of particle physics. They are for the strong interaction what the photon is for the electromagnetic interactions.
Electrons and nuclei form atoms held together with the exchange of virtual photons . The attraction of quark to quark or antiquark is similar, but complicated mathematically by the fact that gluons are attracted to gluons, whereas photons are not attracted to photons. So a quark and antiquark forming a hadron, pion for example, exchange what you call "flux tubes", virtual complicated gluon exchanges, forming a flux because of the glue-glue attraction (a pion will decay very fast through the weak interaction, but that is another story).
There is no "particle within the gluon field", and the term "gluon field" belongs to a higher level quantum model, the quantum field theory, a complicated story at this level of the question.