Duality in Off-Shell Electromagnetism

Details Duality in Off-Shell Electromagnetism Duality in Off-Shell Electromagnetism

2006-03-21

arxiv.org/abs/hep-th/0603169v1

Found.Phys.35:1245,2005

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1007/s10701-005-6408-x

In this paper, we examine the Dirac monopole in the framework of Off-Shell Electromagnetism, the five dimensional U(1) gauge theory associated with Stueckelberg-Schrodinger relativistic quantum theory. After reviewing the Dirac model in four dimensions, we show that the structure of the five dimensional theory prevents a natural generalization of the Dirac monopole, since the theory is not symmetric under duality transformations. It is shown that the duality symmetry can be restored by generalizing the electromagnetic field strength to an element of a Clifford algebra. Nevertheless, the generalized framework does not permit us to recover the phenomenological (or conventional) absence of magnetic monopoles.

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