The Atiyah-Singer index theorem and the gauge field copy problem
Mathematical Physics
2008-11-26 v1 K-Theory and Homology
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/9905022,
title = {The Atiyah-Singer index theorem and the gauge field copy problem},
author = {Adonai S. Sant'Anna and Newton C. A. da Costa and Francisco A. Doria},
journal= {arXiv preprint arXiv:math-ph/9905022},
year = {2008}
}
Comments
LaTeX, 7 pages, no figures