If a particle isn't exchanging any field quanta, then it isn't interacting with anything.
These typically entail particle energies of many GeV, and the interactions of the simplest kinds of particles: leptons (e.g. electrons and positrons) and quarks for the matter, or photons and gluons for the field quanta.
Nevertheless, all the exotic variations created could be accounted for by the same eight ground-state quarks and leptons, plus their respective antiparticles, together with the field quanta through which they interacted.
It is these anticommutation relations that imply Fermi-Dirac statistics for the field quanta.
One also speaks of field quantization, as in the "quantization of the electromagnetic field", where one refers to photons as field "quanta" (for instance as light quanta).
These excited states are called field quanta.
Albert Einstein, in 1905, attributed "particle-like" and discrete exchanges of momenta and energy, characteristic of "field quanta", to the electromagnetic field.
It is these commutation relations that imply Bose-Einstein statistics for the field quanta.
The mundane speed difference between charged particles and field quanta is on the order of one to a million, more or less.
By yet another theoretical advance, a more accurate theory that allows for these occurrences and other predictions is relativistic quantum field theory in which particles are interpreted as field quanta (see article for details).