The Atiyah-Singer index theorem and the gauge field copy problem

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K-theory allows us to define an analytical condition for the existence of `false' gauge field copies through the use of the Atiyah-Singer index theorem. After establishing that result we discuss a possible extension of the same result without the help of the index theorem and suggest possible related lines of work.
LaTeX, 7 pages, no figures

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Mathematical Physics, K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/185745

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/9905022
 http://arxiv.org/abs/math-ph/9905022
 J.Phys.A30:5511-5516,1997
 doi:10.1088/0305-4470/30/15/032

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arXiv