According to Quantum Electrodynamics, electrically charged particles interact by exchanging photons. This answer gives a concise explanation of this process, which describes how the exchange of virtual photons creates repulsion and attraction between charged particles.
This got me thinking, if at any given time countless of photons are being exchanged between particles, why doesn't everything constantly shine? I know virtual photons exist for a brief moment and their only task is (instantly) traveling between charged particles to produce the electromagnetic field between them. But wouldn't charged particles be constantly emitting some sort of radiation? If so, what's the wavelength of this radiation?