QED
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Also calculations using relativistic QED are difficult to perform, so they had been done to only the first order.
Definition Quantum electrodynamics (QED) has one electron field and one photon field; quantum chromodynamics (QCD) has one field for each type of quark ; and, in condensed matter, there is an atomic displacement field that gives rise to phonon particles.
Dyson could show that a rescaling of charge and mass (‘renormalization’) is sufficient to remove all divergences in QED to all orders of perturbation theory.
Dirac's quantum electrodynamics (QED) made predictions that were – more often than not – infinite and therefore unacceptable.
E.g., section 10.1 in citation This concept is applied in key predictions of quantum electrodynamics (QED, see above).
As Weinberg points out the “photon is the only particle that was known as a field before it was detected as a particle” so that it is natural that QED began with the analysis of the radiation field.