Premium
The Skyrme model with a U * (1) gauged Wess‐Zumino term in a noncommutative spacetime
Author(s) -
Mieck B.
Publication year - 2005
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200410251
Subject(s) - noncommutative geometry , spacetime , physics , mathematical physics , noncommutative quantum field theory , action (physics) , homogeneous space , spacetime symmetries , quantum mechanics , quantum field theory in curved spacetime , quantum , quantum gravity , mathematics , geometry
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.