Electromagnetism and multiple-valued loop-dependent wave functionals

Details Electromagnetism and multiple-valued loop-dependent wave functionals Electromagnetism and multiple-valued loop-dependent wave functionals

2009-10-14

arxiv.org/abs/0910.2627v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

We quantize the Maxwell theory in the presence of a electric charge in a "dual" Loop Representation, i.e. a geometric representation of magnetic Faraday's lines. It is found that the theory can be seen as a theory without sources, except by the fact that the wave functional becomes multivalued. This can be seen as the dual counterpart of what occurs in Maxwell theory with a magnetic pole, when it is quantized in the ordinary Loop Representation. The multivaluedness can be seen as a result of the multiply-connectedness of the configuration space of the quantum theory.

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