Is there a field particle in Magnetic Field?

There is no actual particle traveling along the B field lines. There is however a "Force carrying" particle for the electromagnetic force. A side note: Magnetic fields and forces are only the relativistic manifestations of electric fields and vice versa. Therefore in physics we unify these two forces into electromagnetism. The force carrier of the electromagnetic force is the photon, which we are accustomed to it being described as a quanta of light. It is what we see as light, however "light" is just an electromagnetic field, so the photon is really a quanta, or the smallest portion of an electromagnetic field. All forces in nature, and all fields, have an associated particle with that force that carries the force, called a "gauge boson". If you'd like to learn more about this you can read all about the standard model of particle physics on wikipedia :)

Electric and magnetic fields are interdependent, and the exchange particle for electromagnetic interactions is the photon.

This, at least, is how the Standard Model explains things. Wikipedia has a nice, short article under "Force carrier" (but "exchange particle" redirects there as well.)

This is a physical phenomenon. In actual sence there is no particle transfer. All science has done is to give name to a phenomenon that it cannot explain.

a magnon(a type of virtual photon) i think a quasiparticle

yes