There is still no consensus on whether the fields are composed of particles or no. For examples:
Art Hobson, There are no particles, there are only fields, American Journal of Physics 81, 211 (2013);
https://doi.org/10.1119/1.4789885
Robert J. Sciamanda, THERE ARE NO PARTICLES, AND THERE ARE NO FIELDS, American Journal of Physics 81, 645 (2013);
https://doi.org/10.1119/1.4812316
This problem arises because modern physics describes quantum phenomena in quantum scale (subatomic particles). So, to describe the fields we have to cross the quantum scale and reconsider quantum phenomena at the sub-quantum level to understand what are fields made of?