Generalized dual symmetry for non-Abelian Yang-Mills fields
- Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX (United Kingdom)
- Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, M5S 1A7 (CANADA)
- Mathematical Institute, Oxford University, 24-29 St. Giles`, Oxford OX1 3LB (United Kingdom)
It is shown that classical nonsupersymmetric Yang-Mills theory in four dimensions is symmetric under a generalized dual transform which reduces to the usual dual {asterisk} operation for electromagnetism. The parallel phase transport {tilde {ital A}}{sub {mu}}({ital x}) constructed earlier for monopoles is seen to function also as a potential in giving a full description of the gauge field, playing thus an entirely dual symmetric role to the usual potential {ital A}{sub {mu}}({ital x}). Sources of {ital A} are monopoles of {tilde {ital A}} and vice versa, and the Wu-Yang criterion for monopoles is found to yield as equations of motion the standard Wong and Yang-Mills equations for the classical and Dirac point charge, respectively; this applies whether the charge is electric or magnetic, the two cases being related just by a dual transform. The dual transformation itself is explicit, though somewhat complicated, being given in terms of loop space variables of the Polyakov type. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 284836
- Journal Information:
- Physical Review, D, Vol. 53, Issue 12; Other Information: PBD: Jun 1996
- Country of Publication:
- United States
- Language:
- English
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