Ahmed Abouelsaood 1997 J. Phys. A: Math. Gen. 30 3279 doi:10.1088/0305-4470/30/10/008
Pseudo winding numbers and the spherical ansatz
Ahmed Abouelsaood
Show affiliationsThe path-dependent surface/time integral contribution to the topological charge in an SO(3) Yang - Mills theory is studied for paths in field space that interpolate between a background gauge field in the remote past and a gauge transform of it in the remote future. The possibility of existence of such paths along which this integral vanishes for a given initial background gauge field is related to the action of the group of gauge transformations of real, pseudo winding numbers on the physical states of the theory in the background gauge field. The analysis takes a particularly transparent form for the spherically-symmetric fields of the spherical ansatz, leading to a simple interpretation of the results.
- PACS
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 10 (21 May 1997)
Received 26 November 1996, in final form 14 March 1997
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Pseudo winding numbers and the spherical ansatz
Ahmed Abouelsaood 1997 J. Phys. A: Math. Gen. 30 3279
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