Duality Symmetry of Quantum Electrodynamics
Abstract
The duality symmetry between electricity and magnetism hidden in classical Maxwell equations suggests the existence of dual charges, which have usually been interpreted as magnetic charges and have not been observed in experiments. In quantum electrodynamics (QED), both the electric and magnetic fields have been unified into one gauge field $A_{\mu}$, which makes this symmetry inconspicuous. Here, we recheck the duality symmetry of QED by introducing a dual gauge field. Within the framework of gaugefield theory, we show that the electricmagnetic duality symmetry cannot give any new conservation law. By checking chargecharge interaction and specifically the quantum Lorentz force equation, we find that the dual charges are electric charges, not magnetic charges. More importantly, we show that true magnetic charges are not compatible with the gaugefield theory of QED, because the interaction between a magnetic charge and an electric charge can not be mediated by gauge photons.
 Publication:

arXiv eprints
 Pub Date:
 March 2021
 arXiv:
 arXiv:2103.01000
 Bibcode:
 2021arXiv210301000Y
 Keywords:

 Quantum Physics;
 High Energy Physics  Theory;
 Physics  Optics
 EPrint:
 5 pages with 4 appendixes, 1 figure