Wu-Yang ambiguity in connection space

Details Wu-Yang ambiguity in connection space Wu-Yang ambiguity in connection space

2004-10-12

arxiv.org/abs/math-ph/0410034v1

Physics

Mathematical Physics

7 pages, revtex4

Scientific paper

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.

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