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

Physics – Mathematical Physics

Scientific paper

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LaTeX, 7 pages, no figures

Scientific paper

10.1088/0305-4470/30/15/032

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.

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