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In 1985, Harmuth wrote that Maxwell's equations are incompatible with causality, and overcame the problem by adding a term for magnetic dipole currents, and as a consequence the problem of infinite zero-point energy and renormalization disappears. At least according to Harmuth's book:

Calculus of finite differences in quantum electrodynamics By Henning F. Harmuth, Beate Meffert

The foreword is readable at http://books.google.com/books?id=EQFENquY6fwC

Are Harmuth's modifications generally accepted by the physics community as a more accurate description of reality than the unmodified equations ?

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For what it's worth, throughout my career as a professor of theoretical physics specializing in high energy physics and the foundations of Lorentz covariant quantum theory, I never heard of Harmuth or his modification of Maxwell's equations until reading this question and the indicated foreword to his book. Now it's hard to keep track of everything going on in science, even within ones specialty. But I think it's safe to say that Harmuth's theory is not accepted by the physics community as an improvement on Maxwell's equations. There have been proposed modifications that have received extensive attention and study, such as Born-Infeld electrodynamics, and ever since the development of the Electro-Weak unified theory our understanding of the status of the EM field has been altered. But no proposals for modifying Maxwell's equations, per se, have been accepted as established improvements.

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I have done two projects when I was a graduate student on magnetic monopoles. It seems to me that Harmuth's equations are just the same as those for electromagnetism with magnetic monopoles, which has been studied by Dirac before Harmuth. But I may be missing something here.

In any case, while magnetic monopoles are not part of mainstream physics in the sense that they have never been detected and that they don't show up in the Standard Model, they are an important part in many of the theories that try to go beyond the Standard Model.

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