A New Interpretation of the Seiberg Witten Map

Abstract

In an alternative interpretation, the Seiberg-Witten map is shown to be induced by a field dependent co-ordinate transformation connecting noncommutative and ordinary space-times. Furthermore, following our previous ideas, it has been demonstrated here that the above (field dependent co-ordinate) transformation can occur naturally in the Batalin-Tyutin extended space version of the relativistic spinning particle model, (in a particular gauge). There is no need to postulate the space-time non-commutativity in an {\it ad hoc} way: It emerges from the spin degrees of freedom.