To my knowledge, all field interactions are carried out through force-mediating particles. For example, electromagnetic interactions are carried out through exchanging photons. However, under the entry "Quantum Field Theory" in Wikipedia, it is written:
The notion of a force-mediating particle comes from perturbation theory, and does not make sense in the context of non-perturbative approaches to QFT, such as with bound states.
If this is true, then how are field interactions carried out in the context of non-perturbative approach to QFT? Besides, interactions among quarks, which are non-perturbative, are carried out through exchanging gluons. Isn't this a case of force-mediating particles in the context of non-perturbative approach?