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An energy gap for Yang-Mills connections

Differential Geometry 2011-03-28 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

Consider a Yang-Mills connection over a Riemann manifold M=MnM=M^n, n3n\ge 3, where MM may be compact or complete. Then its energy must be bounded from below by some positive constant, if MM satisfies certain conditions, unless the connection is flat.

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Cite

@article{arxiv.0908.0767,
  title  = {An energy gap for Yang-Mills connections},
  author = {Claus Gerhardt},
  journal= {arXiv preprint arXiv:0908.0767},
  year   = {2011}
}

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7 pages