The Skyrme model with a U*(1) gauged Wess-Zumino term in a noncommutative spacetime
✍ Scribed by B. Mieck
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 168 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0015-8208
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✦ Synopsis
Abstract
The Skyrme model is generalized for a noncommutative spacetime with the Weyl‐operators of SU(2) matrices and the corresponding star‐product. The unitary condition and the topological current can be extended to star‐exponential matrices. The Wess‐Zumino term which breaks unphysical symmetries of the Skyrme action is gauged with the U~*~(1) group to allow for electromagnetic processes in a noncommutative spacetime. Apart from corrections to the anomalous decay γ→π^0^π^+^π^–^ in commuting spacetime, the additional anomalous process γ→π^0^π^0^π^0^ is found in the U~*~(1) gauged Wess‐Zumino action for a noncommutative spacetime.