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Can magnetic monopoles and massive photons coexist in the framework of the same classical theory?

C. Cafaro·S. Capozziello·Ch. Corda·S. A. Ali
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Abstract

It is well known that one cannot construct a self-consistent quantum field theory describing the non-relativistic electromagnetic interaction mediated by massive photons between a point-like electric charge and a magnetic monopole. We show that, indeed, this inconsistency arises in the classical theory itself. No semi-classic approximation or limiting procedure for the Dirac constant approaching to zero is used. As a result, the string attached to the monopole emerges as visible also if finite-range electromagnetic interactions are considered in classical framework.

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C. Cafaro, S. Capozziello, Ch. Corda, S. A. Ali. 2009-05-27. Can magnetic monopoles and massive photons coexist in the framework of the same classical theory?. https://arxiv.org/abs/hep-th/0701219

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