English

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

High Energy Physics - Phenomenology 2009-11-07 v1 High Energy Physics - Theory

Abstract

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.

Cite

@article{arxiv.hep-ph/0207286,
  title  = {Some problems when calculating the quantum corrections to the classical 't Hooft-Polyakov monopole},
  author = {Nathan F. Lepora},
  journal= {arXiv preprint arXiv:hep-ph/0207286},
  year   = {2009}
}

Comments

5 pages, LaTeX

R2 v1 2026-07-22T13:42:19.019Z