Some problems when calculating the quantum corrections to the classical 't Hooft-Polyakov monopole

Details Some problems when calculating the quantum corrections to the classical 't Hooft-Polyakov monopole Some problems when calculating the quantum corrections to the classical 't Hooft-Polyakov monopole

2002-07-23

arxiv.org/abs/hep-ph/0207286v1

Phys.Lett. B536 (2002) 338-343

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, LaTeX

Scientific paper

10.1016/S0370-2693(02)01871-3

We examine whether the analysis of quantum corrections for the kink soliton carries over to the 't Hooft-Polyakov monopole. For the kink, it is central that the quantum fluctuations are eigenmodes of a Hermitian operator. For the monopole, we show the analogous operator is not Hermitian. This property raises some questions about the quantization procedure for a 't Hooft-Polyakov monopole.

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