Modular Invariance as an Explanation for the Absence of Monopoles.

Details Modular Invariance as an Explanation for the Absence of Monopoles. Modular Invariance as an Explanation for the Absence of Monopoles.

1995-03-20

arxiv.org/abs/hep-th/9503122v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex

Scientific paper

It is shown that modular invariance provides a natural explanation for the absence of monopoles when assumed to be a discrete gauge symmetry. It follows that monopoles can not be seen because it is always possible to find a suitable gauge-fixing in which they are not present. This result relies upon an easy to prove but non-trivial property of the modular group. A modular-invariant formulation for the hamiltonian of the electromagnetism is given. No monopole arises if independent modular transformations are allowed at each point in space-time where point-like charges are present.

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