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Wu-Yang ambiguity in connection space

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

Two distinct gauge potentials can have the same field strength, in which case they are said to be ``copies'' of each other. The consequences of this possibility for the general space A of gauge potentials are examined. Any two potentials are connected by a straight line in A, but a straight line going through two copies either contains no other copy or is entirely formed by copies.

Cite

@article{arxiv.math-ph/0410034,
  title  = {Wu-Yang ambiguity in connection space},
  author = {R. Aldrovandi and A. L. Barbosa},
  journal= {arXiv preprint arXiv:math-ph/0410034},
  year   = {2007}
}

Comments

7 pages, revtex4