No, the electron mass and charge alone do not completely specify quantum electrodynamics (QED). While the electron mass and charge are important parameters in QED, they are not sufficient to fully describe the theory. QED is a quantum field theory that encompasses the electromagnetic interaction between charged particles, including electrons, and the electromagnetic field.
QED is formulated as a quantum field theory involving the quantized electromagnetic field and charged particle fields. The theory also incorporates the interaction between these fields, which is described by Feynman diagrams. In addition to the electron mass and charge, QED involves other parameters and quantities, such as the coupling constant (related to the strength of the electromagnetic interaction) and various quantum corrections.
These additional parameters in QED arise due to the quantum nature of the theory, which introduces effects beyond classical electromagnetism. For instance, quantum corrections give rise to phenomena such as vacuum polarization and electron self-energy, which affect the properties and interactions of charged particles.
Furthermore, QED is a renormalizable theory, meaning that certain infinities that arise in the calculations can be systematically canceled out through a process called renormalization. The renormalization procedure introduces additional parameters, known as counterterms, to absorb the infinities and ensure finite and meaningful predictions.
Therefore, while the electron mass and charge play a significant role in QED, they are not sufficient to fully specify the theory. QED requires the inclusion of various other parameters, coupling constants, and quantum corrections to accurately describe and predict electromagnetic interactions at the quantum level.