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Phys. Rev. D 63, 067701 (2001) [4 pages]

Gauge field copies

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Pushan Majumdar* and H. S. Sharatchandra
Institute of Mathematical Sciences, C.I.T. Campus Taramani, Madras 600-113, India

Received 14 July 2000; published 23 February 2001

The problem of Wu-Yang ambiguities in three dimensions is related to the problem of the existence of torsion-free driebeins for an arbitrary potential. The ambiguity is only at the level of boundary conditions. We also find that in three dimensions any smooth Yang-Mills field tensor can be uniquely written as the non-Abelian magnetic field of a smooth Yang-Mills potential.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.067701
DOI:
10.1103/PhysRevD.63.067701
PACS:
11.15.-q

*Email address: pushan@imsc.ernet.in

Email address: sharat@imsc.ernet.in