Quantum Physics

    

An Alternative Derivation of the Hamiltonian of Quantum Electrodynamics

Authors: Mads J. Damgaard

We derive a proto-Hamiltonian of quantum electrodynamics (QED) from the coupled Dirac equation by quantizing the electromagnetic field. We then introduce a process of eliminating the gauge symmetry via separation of variables, and argue that this does not break the Lorentz covariance of the theory. From this approach, we obtain a Hamiltonian that is similar to the conventional one of QED. We conclude the paper short of making the Dirac sea reinterpretation, where one would otherwise reinterpret the negative-energy solutions to the Dirac equation as antiparticles.

Comments: 41 Pages.

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Submission history

[v1] 2022-10-10 12:29:52
[v2] 2022-11-25 13:58:57

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