Yes, photons are indeed part of quantum fields. In quantum field theory, particles are understood as excitations or quanta of their respective underlying fields. The electromagnetic field, for example, is described by the theory of quantum electrodynamics (QED), which treats photons as the quanta of the electromagnetic field.
According to quantum field theory, fields permeate all of spacetime, and particles are considered as localized disturbances or excitations of these fields. In the case of the electromagnetic field, which mediates the electromagnetic force, photons are the quanta associated with the excitations of this field.
Photons are massless particles and are characterized by their energy, momentum, polarization, and frequency. They carry electromagnetic radiation, such as visible light, radio waves, and X-rays. When an electron transitions from a higher energy level to a lower energy level within an atom, for example, it emits or absorbs a photon corresponding to the energy difference between the two levels.
Quantum field theory provides a framework for understanding the behavior of particles and their interactions in terms of fields and their excitations. It is a cornerstone of modern theoretical physics and has successfully described the electromagnetic, weak, and strong nuclear forces through the theories of quantum electrodynamics, electroweak theory, and quantum chromodynamics, respectively.