Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-21
Phys.Rev. D53 (1996) 7293-7305
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 26 pages, 3 figures and 2 charts not included but supplied on request
Scientific paper
10.1103/PhysRevD.53.7293
It is shown that classical nonsupersymmetric Yang-Mills theory in 4 dimensions is symmetric under a generalized dual transform which reduces to the usual dual *-operation for electromagnetism. The parallel phase transport $\tilde{A}_\mu(x)$ constructed earlier for monopoles is seen to function also as a potential in giving full description of the gauge field, playing thus an entirely dual symmetric role to the usual potential $A_\mu(x)$. Sources of $A$ are monopoles of $\tilde{A}$ 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 respectively the classical and Dirac point charge; 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.
Faridani Jacqueline
Hong-Mo Chan
Tsun Tsou Sheung
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