Abelian BF-Theory and Spherically Symmetric Electromagnetism

Details Abelian BF-Theory and Spherically Symmetric Electromagnetism Abelian BF-Theory and Spherically Symmetric Electromagnetism

1999-08-26

arxiv.org/abs/hep-th/9908170v2

J.Math.Phys.41:4313-4329,2000

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX2e, v2: minor corrections in some formulas and a new reference

Scientific paper

10.1063/1.533344

Three different methods to quantize the spherically symmetric sector of electromagnetism are presented: First, it is shown that this sector is equivalent to Abelian BF-theory in four spacetime dimensions with suitable boundary conditions. This theory, in turn, is quantized by both a reduced phase space quantization and a spin network quantization. Finally, the outcome is compared with the results obtained in the recently proposed general quantum symmetry reduction scheme. In the magnetically uncharged sector, where all three approaches apply, they all lead to the same quantum theory.

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