The Seiberg-Witten Map in Noncommutative Field Theory: An Alternative Interpretation

Details The Seiberg-Witten Map in Noncommutative Field Theory: An Alternative Interpretation The Seiberg-Witten Map in Noncommutative Field Theory: An Alternative Interpretation

2003-06-19

arxiv.org/abs/hep-th/0306181v1

Rel.Grav.Cosmol. 1 (2004) 97-108

Physics

High Energy Physics

High Energy Physics - Theory

To appear in the special issue of the journal "Relativity, Gravitation, Cosmology"

Scientific paper

In this article, an alternative interpretation of the Seiberg-Witten map in non-commutative field theory is provided. We show that the Seiberg-Witten map can be induced in a geometric way, by a field dependent co-ordinate transformation that connects noncommutative and ordinary space-times. Furthermore, in continuation of our earlier works, it has been demonstrated here that the above (field dependent co-ordinate) transformations are present in a gauge fixed version of the relativistic spinning particle model, embedded in the Batalin-Tyutin extended space. We emphasize that the space-time non-commutativity emerges naturally from the particle {\it {spin}} degrees of freedom. Contrary to similarly motivated works, the non-commutativity is not imposed here in an {\it{ad-hoc}} manner.

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