The Decay of Magnetic Fields in Kaluza-Klein Theory

Details The Decay of Magnetic Fields in Kaluza-Klein Theory The Decay of Magnetic Fields in Kaluza-Klein Theory

1995-07-26

arxiv.org/abs/hep-th/9507143v2

Phys.Rev.D52:6929-6940,1995

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, one figure. The discussion of fermions has been revised: We show how fundamental fermions can eliminate the bubble-t

Scientific paper

10.1103/PhysRevD.52.6929

Magnetic fields in five-dimensional Kaluza-Klein theory compactified on a circle correspond to ``twisted'' identifications of five dimensional Minkowski space. We show that a five dimensional generalisation of the Kerr solution can be analytically continued to construct an instanton that gives rise to two possible decay modes of a magnetic field. One decay mode is the generalisation of the ``bubble decay" of the Kaluza-Klein vacuum described by Witten. The other decay mode, rarer for weak fields, corresponds in four dimensions to the creation of monopole-anti-monopole pairs. An instanton for the latter process is already known and is given by the analytic continuation of the \KK\ Ernst metric, which we show is identical to the five dimensional Kerr solution. We use this fact to illuminate further properties of the decay process. It appears that fundamental fermions can eliminate the bubble decay of the magnetic field, while allowing the pair production of Kaluza-Klein monopoles.

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